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hep-th/9110054
|
Generalized Duality and Singular Strings in Higher Dimensions
|
Deformations of gauged WZW actions are constructed for any pair $(G,H)$ by
taking different embeddings of the gauge group $H\subset G$ as it acts on the
left and right of the group element $g$. This leads to models that are dual to
each other, generalizing the axial/vector duality of the two dimensional black
hole manifold. The classical equations are completely solved for any pair
$(G,H)$ and in particular for the anti de Sitter string based on $SO(d-
1,2)/SO(d-1,1)$ for which the normal modes are determined. Duality is
demonstrated for models that have the same set of normal modes. Concentrating
on $SO(2,2)/SO(2,1)$, the metric and dilaton fields of the $d=3$ string as well
as some of the dual generalizations are obtained. They have curvature
singularities and represent new singular solutions of Einstein's general
relativity in three dimensions.
| 1991-10-18
| 2009-10-22
|
[
"hep-th"
] |
I. Bars and K. Sfetsos
|
hep-th/9110051
|
Instantons in the Quantum Framework of 2D Gravity
|
We analyze the non--perturbative features of 2D quantum gravity defined by
stochastic regularization of the unstable matrix model showing, first, that the
WKB approximation of the well-defined quantum Fokker-Planck hamiltonian
corresponds to the semiclassical eigenvalue density of the former. The double
scaled potential exhibits an instanton--like behaviour, which is universal and
scales, but whose interpretation in terms of pure gravity is still open.
| 1991-10-18
| 2008-02-03
|
[
"hep-th"
] |
J. Luis Miramontes and Joaquin Sanchez Guillen
|
hep-th/9110052
|
Structure Constants of the Fractional Supersymmetry Chiral Algebras
|
The fractional supersymmetry chiral algebras in two-dimensional conformal
field theory are extended Virasoro algebras with fractional spin currents. We
show that associativity and closure of these algebras determines their
structure constants in the case that the Virasoro algebra is extended by
precisely one current. We compute the structure constants of these algebras
explicitly and we show that correlators of the currents satisfy non-Abelian
braiding relations.
| 1991-10-18
| 2009-10-22
|
[
"hep-th"
] |
P.C.Argyres, J.M.Grochocinski, S.-H.H.Tye
|
hep-th/9110050
|
Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains
|
We have recently constructed a large class of open quantum spin chains which
have quantum-algebra symmetry and which are integrable. We show here that these
models can be exactly solved using a generalization of the analytical Bethe
Ansatz (BA) method. In particular, we determine in this way the spectrum of the
transfer matrices of the $U_q [(su(2)]$-invariant spin chains associated with
$A^{(1)}_1$ and $A^{(2)}_2$ in the fundamental representation. The
quantum-algebra invariance of these models plays an essential role in obtaining
these results. The BA equations for these open chains are ``doubled'' with
respect to the BA equations for the corresponding closed chains.
| 1991-10-17
| 2014-11-18
|
[
"hep-th"
] |
Luca Mezincescu and Rafael I. Nepomechie
|
hep-th/9110047
|
Rg Flows in the $D$-Series of Minimal Cfts
|
Using results of the thermodynamic Bethe Ansatz approach and conformal
perturbation theory we argue that the $\phi_{1,3}$-perturbation of a unitary
minimal $(1+1)$-dimensional conformal field theory (CFT) in the $D$-series of
modular invariant partition functions induces a renormalization group (RG) flow
to the next-lower model in the $D$-series. An exception is the first model in
the series, the 3-state Potts CFT, which under the $\ZZ_2$-even
$\phi_{1,3}$-perturbation flows to the tricritical Ising CFT, the second model
in the $A$-series. We present arguments that in the $A$-series flow
corresponding to this exceptional case, interpolating between the tetracritical
and the tricritical Ising CFT, the IR fixed point is approached from ``exactly
the opposite direction''. Our results indicate how (most of) the relevant
conformal fields evolve from the UV to the IR CFT.
| 1991-10-17
| 2009-10-22
|
[
"hep-th"
] |
Timothy R. Klassen and Ezer Melzer
|
hep-th/9110044
|
(Super-) String in Two Dimensional Black Hole and Target Space Dualities
|
We review the recently proposed string theory in two dimensional black hole
background. Especially, the structure of the duality in the target space is
discussed. The duality is analogous to \lq\lq $R \rightarrow 1/R$" symmetry of
a compactified boson. We consider the duality in more general target space
manifolds which have Killing symmetries and we give an explicit formula which
connects two different manifolds which are dual to each other. Superstring
theory in two dimensional black hole background is also discussed based on
supersymmetric $SU(1,1)/U(1)$ gauged Wess-Zumino-Witten model.
| 1991-10-17
| 2008-11-26
|
[
"hep-th"
] |
Shin'ichi Nojiri
|
hep-th/9110049
|
Exactly Solved Models with Quantum Algebra Symmetry
|
We have constructed and solved various one-dimensional quantum mechanical
models which have quantum algebra symmetry. Here we summarize this work, and
also present new results on graded models, and on the so-called string
solutions of the Bethe Ansatz equations for the $A^{(2)}_2$ model.
| 1991-10-17
| 2007-05-23
|
[
"hep-th"
] |
Luca Mezincescu and Rafael I. Nepomechie
|
hep-th/9110048
|
Topological Field Theory and Rational Curves
|
We analyze the superstring propagating on a Calabi-Yau threefold. This theory
naturally leads to the consideration of Witten's topological non-linear
sigma-model and the structure of rational curves on the Calabi-Yau manifold. We
study in detail the case of the world-sheet of the string being mapped to a
multiple cover of an isolated rational curve and we show that a natural
compactification of the moduli space of such a multiple cover leads to a
formula in agreement with a conjecture by Candelas, de la Ossa, Green and
Parkes.
| 1991-10-17
| 2015-06-26
|
[
"hep-th"
] |
Paul S. Aspinwall and David R. Morrison
|
hep-th/9110045
|
Hamiltonian Reduction of Super Osp(1,2)} and Sl(2,1) Kac-Moody Algebras
|
We present the Wakimoto construction of the super OSp(1,2) and SL(2,1)
Kac-Moody algebras and the free field representation of the corresponding WZW
models. After imposing suitable constraints, we can lead the Feigin-Fuchs
representation of Virasoro algebras and coadjoint actions ofthe N=1 and N=2
conformal symmetries. This formulation corresponds to a supercovariant
extension of the Drinfeld and Sokolov Hamiltonian reduction.
| 1991-10-16
| 2011-04-20
|
[
"hep-th"
] |
Kazuhiro Kimura
|
hep-th/9110046
|
Phase Diagram of the Dissipative Hofstadter Model
|
The dissipative quantum mechanics of a charged particle in a uniform magnetic
field and periodic potential has delocalization critical points which
correspond to backgrounds for the open string. We study the phase diagram of
this system (in the magnetic field/dissipation constant plane) and find a
fractal structure which, in the limit of zero dissipation, matches the fractal
energy level structure of the pure quantum mechanical version of this problem
(Hofstadter model).
| 1991-10-16
| 2019-08-14
|
[
"hep-th"
] |
Curtis G. Callan, Jr. and Denise Freed
|
hep-th/9110039
|
Cosets as gauge slices in SU(1,1) strings
|
We consider a string theory based on an SU(1,1) Wess-Zumino-Novikov-Witten
model and an arbitrary unitary conformal fild theory. We show that the
solutions of the Virasoro conditions, in the unitarity regime of the SU(1,1)
theory, are states which lie in the Euclidean coset SU(1,1)/U(1). This shows
the validity, at the quantum level, of a time-like type of gauge in these
models.
| 1991-10-15
| 2009-10-22
|
[
"hep-th"
] |
Stephen Hwang
|
hep-th/9110037
|
Hard Art of the Universe Creation
|
We develop a stochastic approach to the theory of tunneling with the baby
universe formation. This method is applied also to the theory of creation of
the universe in a laboratory.
| 1991-10-15
| 2009-09-29
|
[
"hep-th"
] |
Andrei Linde
|
hep-th/9110038
|
Gauge and General Coordinate Invariance in Non-Polynomial Closed String
Field Theory
|
An appropriate field configuration in non-polynomial closed string field
theory is shown to correspond to a general off-shell field configuration in low
energy effective field theory. A set of string field theoretic symmetries that
act on the fields in low energy effective field theory as general coordinate
transformation and antisymmetric tensor gauge transformation is identified. The
analysis is carried out to first order in the fields; thus the symmetry
transformations in string field theory reproduce the linear and the first
non-linear terms in the gauge transformations in the low energy effective field
theory.
| 1991-10-15
| 2009-09-15
|
[
"hep-th"
] |
Debashis Ghoshal and Ashoke Sen
|
hep-th/9110040
|
S-matrix of N=2 Supersymmetric Sine-Gordon Theory
|
We investigate the S-matrix of N=2 supersymmetric sine-Gordon theory based on
the N=2 supersymmetry and the quantum group structure. The topological charges
play an important role to derive physical contents.
| 1991-10-15
| 2009-10-22
|
[
"hep-th"
] |
Ken-ichiro Kobayashi and Tsuneo Uematsu
|
hep-th/9110041
|
Some Properties of (Non) Critical Strings
|
We review some recent developments in string theory, emphasizing the
importance of vacuum instabilities, their relation to the density of states,
and the role of space-time fermions in non-critical string theory. We also
discuss the classical dynamics of two dimensional string theory.
| 1991-10-15
| 2007-05-23
|
[
"hep-th"
] |
D. Kutasov
|
hep-th/9110043
|
Copernican Crystallography
|
Redundancies are pointed out in the widely used extension of the
crystallographic concept of Bravais class to quasiperiodic materials. Such
pitfalls can be avoided by abandoning the obsolete paradigm that bases ordinary
crystallography on microscopic periodicity. The broadening of crystallography
to include quasiperiodic materials is accomplished by defining the point group
in terms of indistinguishable (as opposed to identical) densities.
| 1991-10-15
| 2009-01-23
|
[
"hep-th"
] |
N. David Mermin (Laboratory of Atomic and Solid State Physics Cornell
University, Ithaca, NY 14853-2501)
|
hep-th/9110042
|
K\"ahler-Chern-Simons Theory
|
K\"ahler-Chern-Simons theory describes antiself-dual gauge fields on a four-
dimensional K\"ahler manifold. The phase space is the space of gauge
potentials, the symplectic reduction of which by the constraints of
antiself-duality leads to the moduli space of antiself-dula instantons. We
outline the theory highlighting the symmetries, their canonical realization and
some properties of the quantum wave functions. The relationship to integrable
systems via dimensional reduction is briefly discussed.
| 1991-10-15
| 2007-05-23
|
[
"hep-th"
] |
V.P.Nair (Columbia University)
|
hep-th/9110035
|
Superspace WZW Models and Black Holes
|
We show how to write an off-shell action for the $SU(2)\times U(1)$
supersymmetric WZW model in terms of $N=2$ chiral and twisted chiral
multiplets. We discuss the $N=4$ supersymmetry of this model and exhibit the
$N=4$ superconformal current algebra. Finally, we show that the off-shell
formulation makes it possible to perform a duality transformation, which leads
to a supersymmetric sigma model on a manifold with a black hole type
singularity.
| 1991-10-14
| 2007-05-23
|
[
"hep-th"
] |
Changhyun Ahn, Martin Rocek, Kareljan Schoutens and Alexander Sevrin
|
hep-th/9110034
|
Open String Theory in 1+1 Dimensions
|
We show that tree level open two dimensional string theory is exactly
solvable; the solution exhibits some unusual features, and is qualitatively
different from the closed case. The open string ``tachyon'' S -- matrix
describes free fermions, which can be interpreted as the quarks at the ends of
the string. These ``quarks'' live naturally on a lattice in space-time. We also
find an exact vacuum solution of the theory, corresponding to a charged black
hole.
| 1991-10-14
| 2010-11-01
|
[
"hep-th"
] |
M. Bershadsky and D. Kutasov
|
hep-th/9110036
|
Flipped SU(5): Origins and Recent Developments
|
We present an account of the early developments that led to the present form
of the flipped $SU(5)$ string model. We focus on the method used to decide on
this particular string model, as well as the basic steps followed in
constructing generic models in the free fermionic formulation of superstrings
in general and flipped $SU(5)$ in particular. We then describe the basic
calculable features of the model which are used to obtain its low-energy
spectrum: doublet and triplet Higgs mass matrices, fermion Yukawa matrices,
neutrino masses, and the top-quark mass. We also review the status of proton
decay in the model, as well as the hidden sector bound states called cryptons.
Finally, we comment on the subject of string threshold corrections and string
unification.
| 1991-10-14
| 2007-05-23
|
[
"hep-th"
] |
J. Lopez and D. Nanopoulos
|
hep-th/9110033
|
Anomaly-free $W$-gravity Theories
|
We give a review of some recent developments in the quantisation of
$W$-gravity theories. In particular, we discuss the construction of
anomaly-free $W_\infty$ and $W_3$ gravities.
| 1991-10-13
| 2007-05-23
|
[
"hep-th"
] |
C.N. Pope
|
hep-th/9110031
|
BRST Analysis of Physical States for 2D (Super) Gravity Coupled to
(Super) Conformal Matter
|
We summarize some recent results on the BRST analysis of physical states of
2D gravity coupled to c<=1 conformal matter and the supersymmetric
generalization.
| 1991-10-12
| 2009-10-22
|
[
"hep-th"
] |
P. Bouwknegt, J. McCarthy and K. Pilch
|
hep-th/9110027
|
Classical W-symmetry and Grassmannian Manifold
|
Classical W-symmetry is globally parametrized by the Grassmannian Manifold
which is associated with the non-relativistic fermions. We give the
bosonization rule which defines the natural higher coordinates system to
describe the W-geometry. Generators of the W-algebra can be obtained from a
single tau-function by using vertex operators.
| 1991-10-11
| 2009-10-22
|
[
"hep-th"
] |
Yutaka Matsuo
|
hep-th/9110030
|
Correlation Functions of Local Operators in 2D Gravity Coupled to
Minimal Matter
|
Recent advances are being discussed on the calculation, within the conformal
field theory approach, of the correlation functions for local operators in the
theory of 2D gravity coupled to the minimal models of matter.
| 1991-10-11
| 2007-05-23
|
[
"hep-th"
] |
Vl.S.Dotsenko
|
hep-th/9110029
|
Correlators of Special States in c=1 Liouville Theory
|
We generalize the ground ring structure to all special BRST invariant
operators in the right branch in the c=1 Liouville theory. We also discuss
correlation functions of special states on the sphere.
| 1991-10-11
| 2009-10-22
|
[
"hep-th"
] |
Miao Li
|
hep-th/9110028
|
W-Geometries
|
It is shown that, classically, the W-algebras are directly related to the
extrinsic geometry of the embedding of two-dimensional manifolds with chiral
parametrisation (W-surfaces) into higher dimensional K\"ahler manifolds. We
study the local and the global geometries of such embeddings, and connect them
to Toda equations. The additional variables of the related KP hierarchy are
shown to yield a specific coordinate system of the target-manifold, and this
allows us to prove that W-transformations are simply particular diffeomorphisms
of this target space. The W-surfaces are shown to be instantons of the
corresponding non-linear $\sigma$-models.
| 1991-10-11
| 2009-10-22
|
[
"hep-th"
] |
Jean-Loup Gervais, Yutaka Matsuo
|
hep-th/9110032
|
Comments on Two-Loop Kac-Moody Algebras
|
It is shown that the two-loop Kac-Moody algebra is equivalent to a two
variable loop algebra and a decoupled $\beta$-$\gamma$ system. Similarly WZNW
and CSW models having as algebraic structure the Kac-Moody algebra are
equivalent to an infinity of versions of the corresponding ordinary models and
decoupled abelian fields.
| 1991-10-10
| 2009-10-22
|
[
"hep-th"
] |
L.A.Ferreira, J.F.Gomes, A.Schwimmer and A.H.Zimerman
|
hep-th/9110026
|
Effective String Amplitudes for Hadronic Physics
|
We propose using the general structure and properties of conformal field
theory amplitudes, in particular those defined on surfaces with boundaries, to
explore effective string theory amplitudes for some hadronic processes. Two
examples are considered to illustrate the approach. In one a natural mechanism
for chiral symmetry breaking within the string picture is proposed. One
consequence is that the vertex operator for pion emission (at zero momentum)
behaves like a world sheet current evaluated on the string boundary. This fact
is used to rederive, in a more general setting, hadronic mass relations found
in the early days of string theory by Lovelace, and Ademollo, Veneziano and
Weinberg. In the second example, we derive the general structure of the form
factor for the emission of a pomeron (interpreted as a closed string) from a
meson or baryon. The result reconciles the interpretation of the pomeron as a
closed string, emitted from the interior of the meson or baryon world sheet,
with the additive quark rules for total hadronic cross sections. We also review
the difficulties involved in constructing complete effective string theories
for hadrons, and comment on the relation between the intercepts of trajectories
and the short distance behavior of the underlying theory.
| 1991-10-10
| 2009-10-22
|
[
"hep-th"
] |
David C. Lewellen
|
hep-th/9110025
|
Coadjoint Orbits of the Generalised Sl(2) Sl(3) Kdv Hierarchies
|
In this paper we develop two coadjoint orbit constructions for the phase
spaces of the generalised $Sl(2)$ and $Sl(3)$ KdV hierachies. This involves the
construction of two group actions in terms of Yang Baxter operators, and an
Hamiltonian reduction of the coadjoint orbits. The Poisson brackets are
reproduced by the Kirillov construction. From this construction we obtain a
`natural' gauge fixing proceedure for the generalised hierarchies.
| 1991-10-09
| 2009-10-22
|
[
"hep-th",
"math.QA"
] |
Nigel J. Burroughs
|
hep-th/9110024
|
Generalized W-algebras and Integrable Hierarchies
|
We report on generalizations of the KdV-type integrable hierarchies of
Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical
$W$-algebras, which arise as the second Hamiltonian structure of the
hierarchies. In particular, we present a construction of the $W_n^{(l)}$
algebras.
| 1991-10-08
| 2019-08-17
|
[
"hep-th"
] |
N. Burroughs, M. de Groot, T. Hollowood and L. Miramontes
|
hep-th/9110023
|
Gauge and Matter Condensates in Realistic String Models
|
We examine the inter-relationship of the superpotential containing hidden and
observable matter fields and the ensuing condensates in free fermionic string
models. These gauge and matter condensates of the strongly interacting hidden
gauge groups play a crucial role in the determination of the physical
parameters of the observable sector. Supplementing the above information with
the requirement of modular invariance, we find that a generic model with only
trilinear superpotential allows for a degenerate (and sometimes pathological)
set of vacua. This degeneracy may be lifted by higher order terms in the
superpotential. We also point out some other subtle points that may arise in
calculations of this nature. We exemplify our observations by computing
explicitly the modular invariant gaugino and matter condensates in the flipped
SU(5) string model with hidden gauge group $SO(10)\times SU(4)$.
| 1991-10-08
| 2009-10-22
|
[
"hep-th"
] |
S. Kalara, J. Lopez, and D. Nanopoulos
|
hep-th/9110022
|
Universal Field Equations with Covariant Solutions D.B. Fairlie
|
Metric independent $\sigma$ models are constructed. These are field theories
which generalise the membrane idea to situations where the target space has
fewer dimensions than the base manifold. Instead of reparametrisation
invariance of the independent variables, one has invariance of solutions of the
field equations under arbitrary functional redefinitions of the field
quantities. Among the many interesting properties of these new models is the
existence of a hierarchical structure which is illustrated by the following
result. Given an arbitrary Lagrangian, dependent only upon first derivatives of
the field, and homogeneous of weight one, an iterative procedure for
calculating a sequence of equations of motion is discovered, which ends with a
universal, possibly integrable equation, which is independent of the starting
Lagrangian. A generalisation to more than one field is given.
| 1991-10-08
| 2009-10-22
|
[
"hep-th"
] |
J. Govaerts, A. Morozov
|
hep-th/9110019
|
Classical Dynamics of Point Particles in 2+1 Gravity
|
The relation between Einstein gravity and the Chern-Simons gauge theory of
the Poincare' group is discussed at the classical level.
| 1991-10-07
| 2009-10-22
|
[
"hep-th"
] |
Andrea Cappelli, conference proceedings
|
hep-th/9110021
|
Gauge Theory Formulation of the $c=1$ Matrix Model: Symmetries and
Discrete States
|
We present a non-relativistic fermionic field theory in 2-dimensions coupled
to external gauge fields. The singlet sector of the $c=1$ matrix model
corresponds to a specific external gauge field. The gauge theory is
one-dimensional (time) and the space coordinate is treated as a group index.
The generators of the gauge algebra are polynomials in the single particle
momentum and position operators and they form the group $W^{(+)}_{1+\infty}$.
There are corresponding Ward identities and residual gauge transformations that
leave the external gauge fields invariant. We discuss the realization of these
residual symmetries in the Minkowski time theory and conclude that the
symmetries generated by the polynomial basis are not realized. We motivate and
present an analytic continuation of the model which realises the group of
residual symmetries. We consider the classical limit of this theory and make
the correspondence with the discrete states of the $c=1$ (Euclidean time)
Liouville theory. We explain the appearance of the $SL(2)$ structure in
$W^{(+)}_{1+\infty}$. We also present all the Euclidean classical solutions and
the classical action in the classical phase space. A possible relation of this
theory to the $N=2$ string theory and also self-dual Einstein gravity in
4-dimensions is pointed out.
| 1991-10-07
| 2015-06-26
|
[
"hep-th"
] |
Sumit R.Das, Avinash Dhar, Gautam Mandal and Spenta R.Wadia
|
hep-th/9110017
|
Scattering at Planckian Energies
|
We give a systematic analysis of forward scattering in 3$+$1-dimensional
quantum gravity, at center of mass energies comparable or larger than the
Planck energy. We show that quantum gravitational effects in this kinematical
regime are described by means of a topological field theory. We find that the
scattering amplitudes display a universal behaviour very similar to two
dimensional string amplitudes, thereby recovering results obtained previously
by 't Hooft. Finally, we discuss the two-particle process in some detail.
| 1991-10-07
| 2009-10-22
|
[
"hep-th"
] |
Herman Verlinde and Erik Verlinde
|
hep-th/9110020
|
Classical Scattering in 2+1 Gravity with N Spinning Sources
|
The classical dynamics of N spinning point sources in 2+1 Einstein-Cartan
gravity is considered. It corresponds to the ISO(2,1) Chern-Simons theory, in
which the torsion source is restricted to its intrinsic spin part. A class of
explicit solutions is found for the dreibein and the spin connection, which are
torsionless in the spinless limit. By using the residual local Poincare'
invariance of the solutions, we fix the gauge so that the metric is smooth
outside the particles and satisfies proper asymptotic conditions at space and
time infinity. We recover previous results for test bodies and find new ones
for the scattering of two dynamical particles in the massless limit.
| 1991-10-07
| 2009-10-22
|
[
"hep-th"
] |
Andrea Cappelli, Marcello Ciafaloni and Paolo Valtancoli
|
hep-th/9110016
|
Self-Gravitating Strings In 2+1 Dimensions
|
We present a family of classical spacetimes in 2+1 dimensions. Such a
spacetime is produced by a Nambu-Goto self-gravitating string. Due to the
special properties of three-dimensional gravity, the metric is completely
described as a Minkowski space with two identified worldsheets. In the flat
limit, the standard string is recovered. The formalism is developed for an open
string with massive endpoints, but applies to other boundary conditions as
well. We consider another limit, where the string tension vanishes in
geometrical units but the end-masses produce finite deficit angles. In this
limit, our open string reduces to the free-masses solution of Gott, which
possesses closed timelike curves when the relative motion of the two masses is
sufficiently rapid. We discuss the possible causal structures of our spacetimes
in other regimes. It is shown that the induced worldsheet Liouville mode obeys
({\it classically}) a differential equation, similar to the Liouville equation
and reducing to it in the flat limit. A quadratic action formulation of this
system is presented. The possibility and significance of quantizing the
self-gravitating string, is discussed.
| 1991-10-06
| 2009-10-22
|
[
"hep-th"
] |
Shahar Ben-Menahem (Stanford Linear Accelerator Center)
|
hep-th/9110015
|
The $W_3$-string spectrum
|
We study the spectrum of $W_3$ strings. In particular, we show that for
appropriately chosen space-time signature, one of the scalar fields is singled
out by the spin-3 constraint and is ``frozen'': no creation operators from it
can appear in physical states and the corresponding momentum must assume a
specific fixed value. The remaining theory is unitary and resembles an ordinary
string theory in $d\ne26$ with anomalies cancelled by appropriate background
charges. In the case of the $W_3$ string, however, the spin-two ``graviton'' is
massive.
| 1991-10-05
| 2009-10-07
|
[
"hep-th"
] |
C.N. Pope, L.J. Romans, E. Sezgin and K.S. Stelle
|
hep-th/9110013
|
Brst Cohomology and Physical States in 2D Supergravity Coupled to ${\hat
c} \leq 1$ Matter
|
We study the BRST cohomology for two-dimensional supergravity coupled to
$\hat c \leq 1$ superconformal matter in the conformal gauge. The
super-Liouville and superconformal matters are represented by free scalar
fields $\phi^L$ and $\phi^M$ and fermions $\psi^L$ and $\psi^M$, respectively,
with suitable background charges, and these are coupled in such a way that the
BRST charge is nilpotent. The physical states of the full theory are determined
for NS and R sectors. It is shown that there are extra states with ghost number
$N_{FP}=0,\pm 1$ for discrete momenta other than the degree of freedom
corresponding to the ``center of mass", and that these are closely related to
the ``null states" in the minimal models with $\hat c<1$.
| 1991-10-04
| 2009-10-22
|
[
"hep-th"
] |
Katsumi Itoh and Nobuyoshi Ohta
|
hep-th/9110014
|
Mirror Manifolds: A Brief Review and Progress Report
|
We first give a complete, albeit brief, review of the discovery of mirror
symmetry in $N=2$ string/conformal field theory. In particular, we describe the
naturality arguments which led to the initial mirror symmetry conjectures and
the subsequent work which established the existence of mirror symmetry through
direct construction. We then review a number of striking consequences of mirror
symmetry -- both conceptual and calculational. Finally, we describe recent work
which introduces a variant on our original proof of the existence of mirror
symmetry. This work affirms classical--quantum symmetry duality as well as
extends the domain of our initial mirror symmetry construction.
| 1991-10-04
| 2007-05-23
|
[
"hep-th"
] |
B.R. Greene and M.R. Plesser
|
hep-th/9110018
|
RG flows of non-diagonal minimal models perturbed by $\phi_{1,3}$
|
Studying perturbatively, for large m, the torus partition function of both
(A,A) and (A,D) series of minimal models in the Cappelli, Itzykson, Zuber
classification, deformed by the least relevant operator $\phi_{(1,3)}$, we
disentangle the structure of $\phi_{1,3}$ flows. The results are conjectured on
reasonable ground to be valid for all m. They show that (A,A) models always
flow to (A,A) and (A,D) ones to (A,D). No hopping between the two series is
possible. Also, we give arguments that there exist 3 isolated flows
(E,A)-->(A,E) that, together with the two series, should exhaust all the
possible $\phi_{1,3}$ flows. Conservation (and symmetry breaking) of non-local
currents along the flows is discussed and put in relation to the A,D,E
classification.
| 1991-10-04
| 2009-10-22
|
[
"hep-th"
] |
F.Ravanini
|
hep-th/9110010
|
Quantum Solitons in Affine Toda Field Theories
|
The spectra of $A_r$ affine Toda field theories with imaginary coupling
constant, are investigated. Soliton solutions are found, which, despite the
non-unitary form of the Lagrangian, have real classical masses and are stable
to small perturbations. The quantum corrections to the soliton masses are
determined, to lowest order in $\hbar$. The solitons have the same spectrum as
the fundamental Toda particles; a feature that is preserved in the quantum
theory.
| 1991-10-03
| 2009-10-22
|
[
"hep-th"
] |
Timothy Hollowood
|
hep-th/9110011
|
Quantum Gravity and String Theory, What Have We Learned?
|
This is a non-technical talk given at the Sixth Marcel Grossman Meeting on
General Relativity, Kyoto, Japan in June 1991. Some developments in string
theory over the last six years are discussed together with their qualitative
implications for issues in quantum gravity.
| 1991-10-03
| 2007-05-23
|
[
"hep-th"
] |
A. Strominger
|
hep-th/9110007
|
Some aspects of free field resolutions in 2D CFT with application to the
quantum Drinfeld-Sokolov reduction
|
We review some aspects of the free field approach to two-dimensional
conformal field theories. Specifically, we discuss the construction of free
field resolutions for the integrable highest weight modules of untwisted affine
Kac-Moody algebras, and extend the construction to a certain class of
admissible highest weight modules. Using these, we construct resolutions of the
completely degenerate highest weight modules of W-algebras by means of the
quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae
for these degenerate highest weight modules.
| 1991-10-02
| 2007-05-23
|
[
"hep-th"
] |
P. Bouwknegt, J. McCarthy, and K. Pilch
|
hep-th/9110009
|
Constituent Quarks as Solitons
|
We exhibit soliton solutions of QCD in two dimensions that have the quantum
numbers of quarks. They exist only for quarks heavier than the dimensional
gauge coupling, and have infinite energy, corresponding to the presence of a
string carrying the non-singlet color flux off to spatial infinity. The quark
solitons also disappear at finite temperature, as the temperature-dependent
effective quark mass is reduced in the approach to the quark/hadron phase
transition.
| 1991-10-02
| 2009-09-11
|
[
"hep-th"
] |
John Ellis, Yitzhak Frishman and Marek Karliner
|
hep-th/9110008
|
Duality Invariant Effective String Actions and Minimal Superstring
Unification
|
Some results are presented concerning duality invariant effective string
actions and the construction of automorphic functions for general (2,2) string
compactifications. These considerations are applied in order to discuss the
{\it minimal} unification of gauge coupling constants in orbifold
compactifications with special emphasis on string threshold corrections.
| 1991-10-02
| 2008-11-26
|
[
"hep-th"
] |
D. Luest
|
hep-th/9110005
|
Three-Dimensional Gravity and String Ghosts
|
It is known that much of the structure of string theory can be derived from
three-dimensional topological field theory and gravity. We show here that, at
least for simple topologies, the string diffeomorphism ghosts can also be
explained in terms of three-dimensional physics.
| 1991-10-01
| 2010-04-28
|
[
"hep-th"
] |
S. Carlip and I. I. Kogan
|
hep-th/9110002
|
The Effective String of 3D Gauge Systems at the Deconfining Transition
|
It is argued that the effective string of whatever 3D gauge system at the
deconfining transition is universally described by the minimal $N=2$ extended
superconformal theory at $c=1$. A universal value of the critical temperature
is predicted.
| 1991-10-01
| 2009-10-22
|
[
"hep-th"
] |
M. Caselle and F.Gliozzi
|
hep-th/9110012
|
From factorizable S-matrices to conformal invariance
|
Lecture notes on factorizable S-matrices, thermodynamic Bethe Ansatz and
integrable perturbations of conformally invariant models; J.A.Swieca Summer
School 1991
| 1991-10-01
| 2007-05-23
|
[
"hep-th"
] |
Koberle Roland
|
hep-th/9110003
|
Field Identification in Non-Unitary Diagonal Cosets
|
We study the nonunitary diagonal cosets constructed from admissible
representations of Kac-Moody algebras at fractional level, with an emphasis on
the question of field identification. Generic classes of field identifications
are obtained from the analysis of the modular S matrix. These include the usual
class related to outer automorphisms, as well as some intrinsically nonunitary
field identifications. They allow for a simple choice of coset field
representatives where all field components of the coset are associated with
integrable finite weights.
| 1991-10-01
| 2015-06-26
|
[
"hep-th"
] |
Pierre Mathieu, David Senechal and Mark Walton
|
hep-th/9110006
|
On the Solution of Topological Landau-Ginzburg Models with $c=3$
|
The solution is given for the $c=3$ topological matter model whose underlying
conformal theory has Landau-Ginzburg model $W=-\qa (x^4 +y^4)+\af x^2y^2$.
While consistency conditions are used to solve it, this model is probably at
the limit of such techniques. By using the flatness of the metric of the space
of coupling constants I rederive the differential equation that relates the
parameter \af\ to the flat coordinate $t$. This simpler method is also applied
to the $x^3+y^6$-model.
| 1991-10-01
| 2009-10-22
|
[
"hep-th"
] |
Z. Maassarani
|
hep-th/9110004
|
Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String
Vacua
|
An $O(d,d)$ symmetry of the manifold of string vacua that do not depend on
$d$ (out of $D$) space-time coordinates has been recently identified. Here we
write down, for $d=D-1$, the low energy equations of motion and their general
solution in a manifestly $O(d,d)$-invariant form, pointing out an amusing
similarity with the renormalization group framework. Previously considered
cosmological and black hole solutions are recovered as particular examples.
| 1991-10-01
| 2015-06-26
|
[
"hep-th"
] |
K.A. Meissner and G. Veneziano
|
hep-th/9110001
|
The Lie h-Invariant Conformal Field Theories and the Lie h-Invariant
Graphs
|
We use the Virasoro master equation to study the space of Lie h-invariant
conformal field theories, which includes the standard rational conformal field
theories as a small subspace. In a detailed example, we apply the general
theory to characterize and study the Lie h-invariant graphs, which classify the
Lie h-invariant conformal field theories of the diagonal ansatz on SO(n). The
Lie characterization of these graphs is another aspect of the recently observed
Lie group-theoretic structure of graph theory.
| 1991-10-01
| 2015-06-26
|
[
"hep-th"
] |
M.B. Halpern, E.B. Kiritsis, N.A. Obers
|
hep-th/9109058
|
Quantum Symmetries in 2D Massive Field Theories
|
We review various aspects of (infinite) quantum group symmetries in 2D
massive quantum field theories. We discuss how these symmetries can be used to
exactly solve the integrable models. A possible way for generalizing to three
dimensions is shortly described.
| 1991-09-30
| 2007-05-23
|
[
"hep-th"
] |
Denis Bernard
|
hep-th/9109057
|
On the possibility of $Z_N$ exotic supersymmetry in two dimensional
Conformal Field Theory
|
We investigate the possibility to construct extended parafermionic conformal
algebras whose generating current has spin $1+\frac{1}{K}$, generalizing the
superconformal (spin 3/2) and the Fateev Zamolodchikov (spin 4/3) algebras.
Models invariant under such algebras would possess $Z_K$ exotic supersymmetries
satisfying (supercharge)$^K$ = (momentum). However, we show that for $K=4$ this
new algebra allows only for models at $c=1$, for $K=5$ it is a trivial
rephrasing of the ordinary $Z_5$ parafermionic model, for $K=6,7$ (and,
requiring unitarity, for all larger $K$) such algebras do not exist.
Implications of this result for existence of exotic supersymmetry in two
dimensional field theory are discussed.
| 1991-09-30
| 2015-06-26
|
[
"hep-th"
] |
F.Ravanini
|
hep-th/9109053
|
Gauge Coupling Running in Minimal SU(3)xSU(2)xU(1) Superstring
Unification
|
We study the evolution of the gauge coupling constants in string unification
schemes in which the light spectrum below the compactification scale is exactly
that of the minimal supersymmetric standard model. In the absence of string
threshold corrections the predicted values $\sin^2\theta _W=0.218$ and $\alpha
_s=0.20$ are in gross conflict with experiment, but these corrections are
generically important. One can express the string threshold corrections to
$\sin^2\theta _W$ and $\alpha_s$ in terms of certain $modular$ $weights$ of
quark, lepton and Higgs superfields as well as the $moduli$ of the string
model. We find that in order to get agreement with the experimental
measurements within the context of this $minimal$ scheme, certain constraints
on the $modular$ $weights$ of the quark, lepton and Higgs superfields should be
obeyed. Our analysis indicates that this $minimal$ $string$ $unification$
| 1991-09-27
| 2009-10-07
|
[
"hep-th"
] |
Luis Ibanez, Dieter Luest and Graham Ross
|
hep-th/9109054
|
Integrable Discrete Linear Systems and One-Matrix Model
|
In this paper we analyze one-matrix models by means of the associated
discrete linear systems. We see that the consistency conditions of the discrete
linear system lead to the Virasoro constraints. The linear system is endowed
with gauge invariances. We show that invariance under time-independent gauge
transformations entails the integrability of the model, while the double
scaling limit is connected with a time-dependent gauge transformation. We
derive the continuum version of the discrete linear system, we prove that the
partition function is actually the $\tau$-function of the KdV hierarchy and
that the linear system completely determines the Virasoro constraints.
| 1991-09-27
| 2014-11-18
|
[
"hep-th"
] |
L. Bonora, M. Martellini and C. S. Xiong
|
hep-th/9109055
|
Deformations, Symmetries and Topological Degrees of Freedom of the
String
|
We discuss three closely related questions; i)~Given a conformal field
theory, how may we deform it? ii)~What are the symmetries of string theory? and
iii)~Does string theory have free parameters? We show that there is a distinct
deformation of the stress tensor for every solution to the linearised covariant
equations of motion for the massless modes of the Bosonic string, and use this
result to discuss the symmetries of the string. We also find an additional
finite dimensional space of deformations which may correspond to free
parameters of string theory, or alternatively may be interpreted as topological
degrees of freedom, perhaps analogous to the isolated states found in two
dimensions.
| 1991-09-27
| 2009-10-02
|
[
"hep-th"
] |
Mark Evans and Ioannis Giannakis (Rockefeller University)
|
hep-th/9109056
|
A representation of the exchange relation for affine Toda field theory
|
Vertex operators are constructed providing representations of the exchange
relations containing either the S-matrix of a real coupling (simply-laced)
affine Toda field theory, or its minimal counterpart. One feature of the
construction is that the bootstrap relations for the S-matrices follow
automatically from those for the conserved quantities, via an algebraic
interpretation of the fusing of two particles to form a single bound state.
| 1991-09-27
| 2009-10-22
|
[
"hep-th"
] |
E. Corrigan and P.E. Dorey
|
hep-th/9109052
|
Instantons and Solitons in Heterotic String Theory
|
This is a transcript of lectures given at the Sixth Jorge Andre Swieca Summer
School in Theoretical Physics. The subject of these lectures is soliton
solutions of string theory. We construct a class of exact conformal field
theories possessing a spacetime soliton or instanton interpretation and present
a preliminary discussion of their physical properties.
| 1991-09-26
| 2012-08-27
|
[
"hep-th"
] |
Curtis G. Callan, Jr
|
hep-th/9109051
|
The Damping of Energetic Gluons and Quarks in High-Temperature QCD
|
When a gluon or a quark is sent through the hot QCD plasma it can be absorbed
into the ambient heat bath and so can acquire an effective lifetime. At high
temperatures and for weak couplings the inverse lifetime, or damping rate, for
energetic quarks and transverse gluons, (those whose momenta satisfy $|\p| \gg
gT$) is given by $\gamma(\p) = c\; g^2 \log\left({1\over g}\right)\; T +
O(g^2T)$. We show that very simple arguments suffice both to fix the numerical
coefficient, $c$, in this expression and to show that the $O(g^2T)$
contribution is incalculable in perturbation theory without further
assumptions. For QCD with $N_c$ colours we find (expressed in terms of the
casimir invariants $C_a=N_c$ and $C_f=(N_c^2-1)/(2N_c)$): $c_g=+{C_a\over
4\pi}$ for gluons and $c_q=+{C_f\over 4\pi}$ for quarks. These numbers agree
with the more detailed calculations of Pisarski \etal\ but disagree with those
of Lebedev and Smilga. The simplicity of the calculation also permits a direct
verification of the gauge-invariance and physical sign of the result.
| 1991-09-26
| 2009-12-30
|
[
"hep-th"
] |
C.P. Burgess and A.L. Marini
|
hep-th/9109050
|
Structure constants in the N=1 superoperator algebra
|
Using the Coulomb Gas formulation of N=1 Superconformal Field Theories, we
extend the arguments of Dotsenko and Fateev for the bosonic case to evaluate
the structure constants of N=1 minimal Superconformal Algebras in the
Neveu-Schwarz sector.
| 1991-09-25
| 2015-06-26
|
[
"hep-th"
] |
L. Alvarez-Gaume, Ph. Zaugg
|
hep-th/9109047
|
The supersymmetric sigma model and the geometry of the Weyl-Kac
character formula
|
Field theoretic and geometric ideas are used to construct a chiral
supersymmetric field theory whose ground state is a specified irreducible
representation of a centrally extended loop group. The character index of the
associated supercharge (an appropriate Dirac operator on $LG/T$) is the
Weyl-K\v{a}c character formula which we compute explicitly by the steepest
descent approximation.
| 1991-09-25
| 2009-10-22
|
[
"hep-th"
] |
Orlando Alvarez, I.M. Singer and Paul Windey
|
hep-th/9109048
|
Elements of String Cosmology
|
Aspects of string cosmology for critical and non-critical strings are
discussed emphasizing the necessity to account for the dilaton dynamics for a
proper incorporation of ``large - small" duality. This drastically modifies the
intuition one has with Einstein's gravity. For example winding modes, even
though contribute to energy density, oppose expansion and if not annihilated
will stop the expansion. Moreover we find that the radiation dominated era of
the standard cosmology emerges quite naturally in string cosmology. Our
analysis of non-critical string cosmology provides a reinterpretation of the
(universal cover of the) recently studied two dimensional black hole solution
as a conformal realization of cosmological solutions found previously by
Mueller.
| 1991-09-25
| 2009-09-17
|
[
"hep-th"
] |
A. A. Tseytlin and C. Vafa
|
hep-th/9109049
|
Extended Inflation from Strings
|
We study the possibility of extended inflation in the effective theory of
gravity from strings compactified to four dimensions and find that it strongly
depends on the mechanism of supersymmetry breaking. We consider a general class
of string--inspired models which are good candidates for successful extended
inflation. In particular, the $\omega$--problem of ordinary extended inflation
is automatically solved by the production of only very small bubbles until the
end of inflation. We find that the inflaton field could belong either to the
untwisted or to the twisted massless sectors of the string spectrum, depending
on the supersymmetry breaking superpotential.
| 1991-09-25
| 2009-10-22
|
[
"hep-th"
] |
J. Garcia-Bellido and M. quiros
|
hep-th/9109046
|
Hermitian vs. Anti-Hermitian 1-Matrix Models and Their Hierarchies
|
Building on a recent work of \v C. Crnkovi\'c, M. Douglas and G. Moore, a
study of multi-critical multi-cut one-matrix models and their associated
$sl(2,C)$ integrable hierarchies, is further pursued. The double scaling limits
of hermitian matrix models with different scaling ans\"atze, lead, to the KdV
hierarchy, to the modified KdV hierarchy and part of the non-linear
Schr\"odinger hierarchy. Instead, the anti-hermitian matrix model, in the
two-arc sector, results in the Zakharov-Shabat hierarchy, which contains both
KdV and mKdV as reductions. For all the hierarchies, it is found that the
Virasoro constraints act on the associated tau-functions. Whereas it is known
that the ZS and KdV models lead to the Virasoro constraints of an $sl(2,C)$
vacuum, we find that the mKdV model leads to the Virasoro constraints of a
highest weight state with arbitrary conformal dimension.
| 1991-09-24
| 2011-07-19
|
[
"hep-th"
] |
Timothy Hollowood, Luis Miramontes, Andrea Pasquinucci and Chiara
Nappi
|
hep-th/9109041
|
Renormalization Group Patterns and C-Theorem in More Than Two Dimensions
|
We elaborate on a previous attempt to prove the irreversibility of the
renormalization group flow above two dimensions. This involves the construction
of a monotonically decreasing $c$-function using a spectral representation. The
missing step of the proof is a good definition of this function at the fixed
points. We argue that for all kinds of perturbative flows the $c$-function is
well-defined and the $c$-theorem holds in any dimension. We provide examples in
multicritical and multicomponent scalar theories for dimension $2<d<4$. We also
discuss the non-perturbative flows in the yet unsettled case of the $O(N)$
sigma-model for $2\leq d\leq 4$ and large $N$.
| 1991-09-24
| 2009-10-22
|
[
"hep-th"
] |
Andrea Cappelli, Jos\'e Ignacio Latorre and Xavier Vilasis-Cardona
|
hep-th/9109043
|
Implications of Target Space Duality
|
Based on the assumption that the target space duality ($T\to 1/T$) is
preserved even nonperturbatively, the properties of static string vacua are
studied. A discussion of the effective four-dimensional supergravity action
based on target-space modular symmetry $SL(2,{\bf Z})$ is presented. The
nonperturbative superpotential removes the vacuum degeneracy with respect to
the compactification modulus ($T$) generically breaks supersymmetry with
negative cosmological constant. Charged matter fields get negative $(mass)^2$
signalling an additional instability of string vacuum and the blowing up of
orbifold singularities. In addition for a class of modularly invariant
potentials topologically stable stringy domain walls of nontrivial compaction
modulus field configuration are found. They are supersymmetric solutions, thus
saturating the Bogomolnyi bound. Their physical implications are discussed.
| 1991-09-24
| 2008-02-03
|
[
"hep-th"
] |
M. Cvetic
|
hep-th/9109044
|
Topological Defects in the Moduli Sector of String Theory
|
We point out that the moduli sector of the $(2,2)$ string compactification
with its nonperturbatively preserved non-compact symmetries is a fertile
framework to study global topological defects, thus providing a natural source
for the large scale structure formation. Based on the target space modular
invariance of the nonperturbative superpotential of the four-dimensional N=1
supersymmetric string vacua, topologically stable stringy domain walls are
found. They are supersymmetric solutions, thus saturating the Bogomolnyi bound.
It is also shown that there are moduli sectors that allow for the global
monopole-type and texture-type configurations whose radial stability is ensured
by higher derivative terms.
| 1991-09-24
| 2008-02-03
|
[
"hep-th"
] |
M. Cvetic
|
hep-th/9109042
|
Singular Vectors and Conservation Laws of Quantum KdV type equations
|
We give a direct proof of the relation between vacuum singular vectors and
conservation laws for the quantum KdV equation or equivalently for
$\Phi_{(1,3)}$-perturbed conformal field theories. For each degree at which a
classical conservation law exists, we find a quantum conserved quantity for a
specific value of the central charge. Various generalizations ($N=1,2$
supersymmetric, Boussinesq) of this result are presented.
| 1991-09-24
| 2009-10-22
|
[
"hep-th"
] |
P. Di Francesco and P. Mathieu
|
hep-th/9109045
|
Note on Discrete Gauge Anomalies
|
We consider the probem of gauging discrete symmetries. All valid constraints
on such symmetries can be understood in the low energy theory in terms of
instantons. We note that string perturbation theory often exhibits global
discrete symmetries, which are broken non-perturbatively.
| 1991-09-24
| 2011-09-29
|
[
"hep-th"
] |
T. Banks and M. Dine
|
hep-th/9109040
|
Irrational Axions as a Solution of The Strong CP Problem in an Eternal
Universe
|
We exhibit a novel solution of the strong CP problem, which does not involve
any massless particles. The low energy effective Lagrangian of our model
involves a discrete spacetime independent axion field which can be thought of
as a parameter labeling a dense set of $\theta$ vacua. In the full theory this
parameter is seen to be dynamical, and the model seeks the state of lowest
energy, which has $\theta_{eff} = 0$. The processes which mediate transitions
between $\theta$ vacua involve heavy degrees of freedom and are very slow.
Consequently, we do not know whether our model can solve the strong CP problem
in a universe which has been cool for only a finite time. We present several
speculations about the cosmological evolution of our model.
| 1991-09-23
| 2009-09-15
|
[
"hep-th"
] |
Tom Banks, Michael Dine and Nathan Seiberg
|
hep-th/9109034
|
A Deformation Theory of Self-Dual Einstein Spaces
|
The self-dual Einstein equations on a compact Riemannian 4-manifold can be
expressed as a quadratic condition on the curvature of an $SU(2)$ (spin)
connection which is a covariant generalization of the self-dual Yang-Mills
equations. Local properties of the moduli space of self-dual Einstein
connections are described in the context of an elliptic complex which arises in
the linearization of the quadratic equations on the $SU(2)$ curvature. In
particular, it is shown that the moduli space is discrete when the cosmological
constant is positive; when the cosmological constant is negative the moduli
space can be a manifold the dimension of which is controlled by the
Atiyah-Singer index theorem.
| 1991-09-20
| 2007-05-23
|
[
"hep-th"
] |
C. G. Torre
|
hep-th/9109037
|
Some Correlation Functions of Minimal Superconformal Models Coupled to
Supergravity
|
We compute general three-point functions of minimal superconformal models
coupled to supergravity in the Neveu-Schwarz sector for spherical topology thus
extending to the superconformal case the results of Goulian and Li and of
Dotsenko.
| 1991-09-20
| 2009-10-22
|
[
"hep-th"
] |
L. ALvarez-Gaume Ph. Zaugg
|
hep-th/9109038
|
Twisting Classical Solutions in Heterotic String Theory
|
We show that, given a classical solution of the heterotic string theory which
is independent of $d$ of the space time directions, and for which the gauge
field configuration lies in a subgroup that commutes with $p$ of the $U(1)$
generators of the gauge group, there is an $O(d)\otimes O(d+p)$ transformation,
which, acting on the solution, generates new classical solutions of the theory.
With the help of these transformations we construct black 6-brane solutions in
ten dimensional heterotic string theory carrying independent magnetic, electric
and antisymmetric tensor gauge field charge, by starting from a black 6-brane
solution that carries magnetic charge but no electric or antisymmetric tensor
gauge field charge. The electric and the magnetic charges point in different
directions in the gauge group.
| 1991-09-20
| 2009-09-15
|
[
"hep-th"
] |
S. F. Hassan and Ashoke Sen
|
hep-th/9109035
|
Classification of Simple Current Invariants
|
We summarize recent work on the classification of modular invariant partition
functions that can be obtained with simple currents in theories with a center
(Z_p)^k with p prime. New empirical results for other centers are also
presented. Our observation that the total number of invariants is
monodromy-independent for (Z_p)^k appears to be true in general as well. (Talk
presented in the parallel session on string theory of the Lepton-Photon/EPS
Conference, Geneva, 1991.)
| 1991-09-20
| 2008-11-26
|
[
"hep-th"
] |
B. Gato-Rivera and A.N. Schellekens
|
hep-th/9109036
|
Batalin-Vilkovisky Lagrangian Quantisation
|
The Lagrangian Batalin-Vilkovisky (BV) formalism gives the rules for the
quantisation of a general class of gauge theories which contain all the
theories known up to now. It does, however, not only give a recipe to obtain a
gauge fixed action, but also gives a nice understanding of the mechanism behind
gauge fixing. It moreover brings together a lot of previous knowledge and
recipes in one main concept~: the canonical transformations. We explain the
essentials of this formalism and give related results on the superparticle.
Also anomalies (in general functions of fields and antifields) can be obtained
in this formalism, and it gives the relation between anomalies in different
gauges. A Pauli-Villars scheme can be used to obtain a regularised definition
of the expressions at the one loop level. The calculations become similar to
those of Fujikawa with the extra freedom of using arbitrary variables. A
discrepancy between anomalies in light-cone gauge of the Green-Schwarz
superstring and in the semi-light-cone gauge is discussed.
| 1991-09-20
| 2007-05-23
|
[
"hep-th"
] |
Antoine Van Proeyen
|
hep-th/9109039
|
A $\kappa$-Symmetry Calculus for Superparticles
|
We develop a $\kappa$-symmetry calculus for the d=2 and d=3, N=2 massive
superparticles, which enables us to construct higher order $\kappa$-invariant
actions. The method relies on a reformulation of these models as supersymmetric
sigma models that are invariant under local worldline superconformal
transformations. We show that the $\kappa$-symmetry is embedded in the
superconformal symmetry so that a calculus for the $\kappa$-symmetry is
equivalent to a tensor calculus for the latter. We develop such a calculus
without the introduction of a worldline supergravity multiplet.
| 1991-09-20
| 2009-10-22
|
[
"hep-th"
] |
Jerome P. Gauntlett
|
hep-th/9112059
|
Strings with Discrete Target Space
|
We investigate the field theory of strings having as a target space an
arbitrary discrete one-dimensional manifold. The existence of the continuum
limit is guaranteed if the target space is a Dynkin diagram of a simply laced
Lie algebra or its affine extension. In this case the theory can be mapped onto
the theory of strings embedded in the infinite discrete line $\Z$ which is the
target space of the SOS model. On the regular lattice this mapping is known as
Coulomb gas picture. ... Once the classical background is known, the amplitudes
involving propagation of strings can be evaluated by perturbative expansion
around the saddle point of the functional integral. For example, the partition
function of the noninteracting closed string (toroidal world sheet) is the
contribution of the gaussian fluctuations of the string field. The vertices in
the corresponding Feynman diagram technique are constructed as the loop
amplitudes in a random matrix model with suitably chosen potential.
| 1991-09-19
| 2009-10-22
|
[
"hep-th"
] |
I. Kostov
|
hep-th/9109033
|
SU(3) x SU(2) x U(1): The residual symmetry of extended conformal
gravity
|
Within the 4-dimensional conformal algebra, the presence of two translation
operators implies the existence of 3 distinct metrics of definite Weyl weight
constructible from the translational gauge fields. If we demand that each of
these metrics give rise to a gauge theory of gravity, we are led to extend the
symmetry so that each of these three metrics has a corresponding translation
operator. Assigning a vierbein to each of these three translations, a different
spacetime metric arises for every choice of inner product of the vierbeins. The
covering group of the compact part of the minimal transitive group classifying
these inner products is $SU(4)$. An additional $SU(2)$ symmetry classifies the
antisymmetric parts of the vierbein product. If the metric is chosen as the
gauge field of the translations in the standard way, the SU(4) part of this
symmetry is broken to the semidirect product of $SU(3)$ with $U(1)$.
| 1991-09-19
| 2008-02-06
|
[
"hep-th"
] |
James T. Wheeler
|
hep-th/9109032
|
Interaction of Discrete States in Two-Dimensional String Theory
|
We study the couplings of discrete states that appear in the string theory
embedded in two dimensions, and show that they are given by the structure
constants of the group of area preserving diffeomorphisms. We propose an
effective action for these states, which is itself invariant under this
infinite-dimensional group.
| 1991-09-19
| 2015-06-26
|
[
"hep-th"
] |
I. R. Klebanov and A. M. Polyakov
|
hep-th/9109028
|
New Special Operators in $W$-Gravity Theories
|
We find new special physical operators of $W_3 -$gravity having non trivial
ghost sectors. Some of these operators may be viewed as the liouville dressings
of the energy operator of the Ising model coupled to {\it 2d~gravity} and this
fills in a gap in the connection between pure $W_3 -$gravity and Ising model
coupled to 2d gravity found in our previous work. We formulate a selection rule
required for the calculation of correlators in $W -$gravity theories. Using
this rule, we construct the non ghost part of the new operators of $W_N
-$gravity and find that they represent the $(N , N+1)$ minimal model operators
from both inside and outside the minimal table. Along the way we obtain the
canonical spectrum of $W_N -$gravity for all $N$ .
| 1991-09-18
| 2007-05-23
|
[
"hep-th"
] |
S. Kalyana Rama
|
hep-th/9109030
|
Topology Change in General Relativity
|
A review is given of recent work on topology changing solutions to the first
order form of general relativity. These solutions have metrics which are smooth
everywhere, invertible almost everywhere, and have bounded curvature. The
importance of considering degenerate metrics is discussed, and the possibility
that quantum effects can suppress topology change is briefly examined.
| 1991-09-18
| 2007-05-23
|
[
"hep-th"
] |
Gary T. Horowitz
|
hep-th/9109029
|
Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the
SL(2,R)/U(1) coset model
|
We show that the symmetry algebra of the $SL(2,R)_{k}/U(1)$ coset model is a
non-linear deformation of $W_{\infty}$, characterized by $k$. This is a
universal $W$-algebra which linearizes in the large $k$ limit and truncates to
$W_{N}$ for $k=-N$. Using the theory of non-compact parafermions we construct a
free field realization of the non-linear $W_{\infty}$ in terms of two bosons
with background charge. The $W$-characters of all unitary $SL(2,R)/U(1)$
representations are computed. Applications to the physics of 2-d black hole
backgrounds are also discussed and connections with the KP approach to $c=1$
string theory are outlined.
| 1991-09-18
| 2015-06-26
|
[
"hep-th"
] |
I. Bakas, E. Kiritsis
|
hep-th/9109027
|
On the connection between Quantum Mechanics and the geometry of
two-dimensional strings
|
On the basis of an area-preserving symmetry in the phase space of a
one-dimensional matrix model - believed to describe two-dimensional string
theory in a black-hole background which also allows for space-time foam - we
give a geometric interpretation of the fact that two-dimensional stringy black
holes are consistent with conventional quantum mechanics due to the infinite
gauged `W-hair' property that characterises them.
| 1991-09-17
| 2009-09-11
|
[
"hep-th"
] |
J.Ellis, N.E. Mavromatos, D.V. Nanopoulos
|
hep-th/9109031
|
Constant Curvature and Non-Perturbative W3 Gravity
|
We show that the new classical action for two dimensional gravity (the
Jackiw-Teitelboim model) possesses a $W_3$ algebra. We quantise the resulting
$W_3$ gravity in the presence of matter fields with arbitrary central charges
and obtain the critical exponents. The auxiliary field of the model, expressing
the constancy of the scalar curvature, can be interpreted as one of the
physical degrees of freedom of the $W_3$ gravity. Our expressions are
corrections to some previously published results for this model where the $W_3$
symmetry was not accounted for.
| 1991-09-17
| 2007-05-23
|
[
"hep-th"
] |
N. Mohammedi
|
hep-th/9109026
|
String Effective Action and Two Dimensional Charged Black Hole
|
Graviton-dilaton background field equations in three space-time dimensions,
following from the string effective action are solved when the metric has only
time dependence. By taking one of the two space dimensions as compact, our
solution reproduces a recently discovered charged black hole solution in two
space-time dimensions. Solutions in presence of nonvanishing three dimensional
background antisymmetric tensor field are also discussed.
| 1991-09-14
| 2015-06-26
|
[
"hep-th"
] |
S. Pratik Khastgir and Alok Kumar
|
hep-th/9109024
|
On the Liouville Approach to Correlation Functions for 2-D Quantum
Gravity
|
We evaluate the three point function for arbitrary states in bosonic minimal
models on the sphere coupled to quantum gravity in two dimensions. The validity
of the formal continuation in the number of Liouville screening charge
insertions is shown directly from the Liouville functional integral using
semi-classical methods.
| 1991-09-13
| 2009-10-22
|
[
"hep-th"
] |
Kenichiro Aoki and Eric D'Hoker
|
hep-th/9109025
|
Correlation functions of minimal models coupled to two dimensional
quantum supergravity
|
We compute the three point functions of Neveu--Schwarz primary fields of the
minimal models on the sphere when coupled to supergravity in two dimensions.
The results show that the three point correlation functions are determined by
the scaling dimensions of the fields, as in the bosonic case.
| 1991-09-13
| 2009-10-22
|
[
"hep-th"
] |
Kenichiro Aoki and Eric D'Hoker
|
hep-th/9109022
|
Some Applications of String Field Theory
|
We study general properties of the classical solutions in non-polynomial
closed string field theory and their relationship with two dimensional
conformal field theories. In particular we discuss how different conformal
field theories which are related by marginal or nearly marginal deformations
can be regarded as different classical solutions of some underlying string
field theory. We also discuss construction of a classical solution labelled by
infinite number of parameters in string field theory in two dimensions. For a
specific set of values of the parameters the solution can be identified to the
black hole solution.
| 1991-09-12
| 2007-05-23
|
[
"hep-th"
] |
Ashoke Sen
|
hep-th/9109023
|
On quantum group symmetries of conformal field theories
|
The appearance of quantum groups in conformal field theories is traced back
to the Poisson-Lie symmetries of the classical chiral theory. A geometric
quantization of the classical theory deforms the Poisson-Lie symmetries to the
quantum group ones. This elucidates the fundamental role of chiral symmetries
that quantum groups play in conformal models. As a byproduct, one obtains a
more geometric approach to the representation theory of quantum groups.
| 1991-09-12
| 2007-05-23
|
[
"hep-th"
] |
Fernando Falceto and Krzysztof Gawedzki
|
hep-th/9109019
|
Restricted Quantum Affine Symmetry of Perturbed Minimal Models
|
We study the structure of superselection sectors of an arbitrary perturbation
of a conformal field theory. We describe how a restriction of the q-deformed
$\hat{sl(2)}$ affine Lie algebra symmetry of the sine-Gordon theory can be used
to derive the S-matrices of the $\Phi^{(1,3)}$ perturbations of the minimal
unitary series. This analysis provides an identification of fields which create
the massive kink spectrum. We investigate the ultraviolet limit of the
restricted sine-Gordon model, and explain the relation between the restriction
and the Fock space cohomology of minimal models. We also comment on the
structure of degenerate vacuum states. Deformed Serre relations are proven for
arbitrary affine Toda theories, and it is shown in certain cases how relations
of the Serre type become fractional spin supersymmetry relations upon
restriction.
| 1991-09-11
| 2015-06-26
|
[
"hep-th"
] |
G. Felder and A. LeClair
|
hep-th/9109020
|
Infinite Quantum Group Symmetry in 2d Quantum Field Theory
|
I describe how integrable quantum field theories in 2 spacetime dimensions
are characterized by infinite dimensional quantum group symmetries, namely the
q-deformations of affine Lie algebras, and their Yangian limit. These
symmetries can provide a new non-perturbative formulation of the theories.
| 1991-09-11
| 2007-05-23
|
[
"hep-th"
] |
Andre LeClair
|
hep-th/9109016
|
Classical Gravity Coupled to Liouville Theory
|
We consider the two dimensional Jackiw-Teitelboim model of gravity. We first
couple the model to the Liouville action and $c$ scalar fields and show,
treating the combined system as a non linear sigma model, that the resulting
theory can be interpreted as a critical string moving in a target space of
dimension $D=c+2$. We then analyse perturbatively a generalised model
containing a kinetic term and an arbitrary potential for the auxiliary field.
We use the background field method and work with covariant gauges. We show that
the renormalisability of the theory depends on the form of the potential. For a
general potential, the theory can be renormalised as a non linear sigma model.
In the particular case of a Liouville-like potential, the theory is
renormalisable in the usual sense.
| 1991-09-11
| 2009-10-22
|
[
"hep-th"
] |
F.D. Mazzitelli and N. Mohammedi
|
hep-th/9109018
|
Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity
|
We consider the stochastic quantization scheme for a non-perturbative
stabilization of 2D quantum gravity and prove that it does not satisfy the KdV
flow equations. It therefore differs from a recently suggested matrix model
which allows real solutions to the KdV equations. The behaviour of the Fermi
energy, the free energy and macroscopic loops in the stochastic quantization
scheme are elucidated.
| 1991-09-11
| 2009-10-22
|
[
"hep-th"
] |
J. Ambjorn, C.V. Johnson and T.R.Morris
|
hep-th/9109017
|
Singular vectors by Fusions in affine su(2)
|
Explicit expressions for the singular vectors in the highest weight
representations of $A_1^{(1)}$ are obtained using the fusion formalism of
conformal field theory.
| 1991-09-11
| 2009-10-22
|
[
"hep-th"
] |
M. Bauer and N. Sochen
|
hep-th/9109021
|
Excited-state thermodynamics
|
In the last several years, the Casimir energy for a variety of
1+1-dimensional integrable models has been determined from the exact S-matrix.
It is shown here how to modify the boundary conditions to project out the
lowest-energy state, which enables one to find excited-state energies. This is
done by calculating thermodynamic expectation values of operators which
generate discrete symmetries. This is demonstrated with a number of perturbed
conformal field theories, including the Ising model, the three-state Potts
model, ${\bf Z}_n$ parafermions, Toda minimal S-matrices, and massless
Goldstinos.
| 1991-09-11
| 2009-10-22
|
[
"hep-th"
] |
Paul Fendley
|
hep-th/9109013
|
Collective Field Representation of Nonrelativistic Fermions in (1+1)
Dimensions
|
A collective field formalism for nonrelativistic fermions in (1+1) dimensions
is presented. Applications to the D=1 hermitian matrix model and the system of
one-dimensional fermions in the presence of a weak electromagnetic field are
discussed.
| 1991-09-10
| 2007-05-23
|
[
"hep-th"
] |
Dimitra Karabali
|
hep-th/9109011
|
Critical Boundary Conditions for the Effective String
|
Gauge systems in the confining phase induce constraints at the boundaries of
the effective string, which rule out the ordinary bosonic string even with
short distance modifications. Allowing topological excitations, corresponding
to winding around the colour flux tube, produces at the quantum level a
universal free fermion string with a boundary phase nu=1/4. This coincides with
a model proposed some time ago in order to fit Monte Carlo data of 3D and 4D
Lattice gauge systems better. A universal value of the thickness of the colour
flux tube is predicted.
| 1991-09-10
| 2019-08-17
|
[
"hep-th"
] |
M.Caselle, R.Fiore, F.Gliozzi, P.Provero and S.Vinti
|
hep-th/9109012
|
Is S=1 for c=1?
|
The $c=1$ string in the Liouville field theory approach is shown to possess a
nontrivial tree-level $S$-matrix which satisfies factorization property implied
by unitary, if all the extra massive physical states are included.
| 1991-09-10
| 2009-10-22
|
[
"hep-th"
] |
D. Minic and Z. Yang
|
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