id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
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hep-th/9112013 | Matrix models of 2d gravity | These are introductory lectures for a general audience that give an overview
of the subject of matrix models and their application to random surfaces, 2d
gravity, and string theory. They are intentionally 1.5 years out of date.
0. Canned Diatribe, Introduction, and Apologies
1. Discretized surfaces, matrix models, ... | 1991-12-06 | 2007-05-23 | [
"hep-th"
] | P. Ginsparg |
hep-th/9112011 | Modular invariance and nonrenormalizable interactions | We examine the modular properties of nonrenormalizable superpotential terms
in string theory and show that the requirement of modular invariance
necessitates the nonvanishing of certain Nth order nonrenormalizable terms. In
a class of models (free fermionic formulation) we explicitly verify that the
nontrivial structur... | 1991-12-05 | 2009-10-22 | [
"hep-th"
] | S. Kalara, J. Lopez, and D. Nanopoulos |
hep-th/9112012 | N=2 topological gauge theory, the Euler characteristic of moduli spaces,
and the Casson invariant | We discuss gauge theory with a topological N=2 symmetry. This theory captures
the de Rham complex and Riemannian geometry of some underlying moduli space
$\cal M$ and the partition function equals the Euler number of $\cal M$. We
explicitly deal with moduli spaces of instantons and of flat connections in two
and three ... | 1991-12-05 | 2016-03-23 | [
"hep-th"
] | Matthias Blau and George Thompson |
hep-th/9112010 | Harmonic Space, Self-Dual Yang Mills and the $N=2$ String | The geometrical structure and the quantum properties of the recently proposed
harmonic space action describing self-dual Yang-Mills (SDYM) theory are
analyzed. The geometrical structure that is revealed is closely related to the
twistor construction of instanton solutions. The theory gets no quantum
corrections and, de... | 1991-12-05 | 2009-09-29 | [
"hep-th"
] | Neil Marcus, Yaron Oz and Shimon Yankielowicz |
hep-th/9112009 | Nonlinear $\hat{W}_{\infty}$ Current Algebra in the SL(2,R)/U(1) Coset
Model | Previously we have established that the second Hamiltonian structure of the
KP hierarchy is a nonlinear deformation, called $\hat{W}_{\infty}$, of the
linear, centerless $W_{\infty}$ algebra. In this letter we present a free-field
realization for all generators of $\hat{W}_{\infty}$ in terms of two scalars as
well as a... | 1991-12-04 | 2019-06-05 | [
"hep-th"
] | Feng Yu and Yong-Shi Wu |
hep-th/9112007 | Exact s-Matrices for the Nonsimply-Laced Affine Toda Theories
$a_{2n-1}^{(2)}$ | We derive the exact, factorized, purely elastic scattering matrices for the
$a_{2n-1}^{(2)}$ family of nonsimply-laced affine Toda theories. The derivation
takes into account the distortion of the classical mass spectrum by radiative
correction, as well as modifications of the usual bootstrap assumptions since
for thes... | 1991-12-04 | 2009-10-22 | [
"hep-th"
] | G.W. Delius, M.T. Grisaru and D. Zanon |
hep-th/9112008 | Black Holes in Magnetic Monopoles | We study magnetically charged classical solutions of a spontaneously broken
gauge theory interacting with gravity. We show that nonsingular monopole
solutions exist only if the Higgs vacuum expectation value $v$ is less than or
equal to a critical value $v_{cr}$, which is of the order of the Planck mass.
In the limitin... | 1991-12-04 | 2009-10-22 | [
"hep-th"
] | K.Lee, V.P.Nair and Erick J.Weinberg |
hep-th/9112006 | Classification of Ten-Dimensional Heterotic Strings | Progress towards the classification of the meromorphic $c=24$ conformal field
theories is reported. It is shown if such a theory has any spin-1 currents, it
is either the Leech lattice CFT, or it can be written as a tensor product of
Kac-Moody algebras with total central charge 24. The total number of
combinations of K... | 1991-12-04 | 2009-10-22 | [
"hep-th"
] | A.N. Schellekens |
hep-th/9112002 | Homological (ghost) approach to constrained Hamiltonian systems | A survey of ghost techniques in mathematical physics, which can be grouped
under the rubric of `cohomological physics', particularly BRST cohomology. | 1991-12-03 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Jim Stasheff |
hep-th/9112003 | Non-perturbative Aspect of Zero Dimensional Supersring | We discuss the non-perturbative aspect of zero dimensional superstring. The
perturbative expansions of correlation functions diverge as
$\sum_l(3l)!\kappa^{2l}$, where $\kappa$ is a string coupling constant. This
implies there are non-perturbative contributions of order $\e^{C\kappa^{-{2
\over 3}}}$. (Here $C$ is a con... | 1991-12-03 | 2007-05-23 | [
"hep-th"
] | Shin'ichi Nojiri |
hep-th/9112004 | Dilaton, winding modes and cosmological solutions | We review some formal aspects of cosmological solutions in closed string
theory with duality symmetric ``matter'' following recent paper with C. Vafa
(HUTP-91/A049). We consider two models : when the matter action is the
classical action of the fields corresponding to momentum and winding modes and
when the matter acti... | 1991-12-03 | 2010-04-06 | [
"hep-th"
] | A.A. Tseytlin |
hep-th/9112005 | Path Integral Over Conformally Self-Dual Geometries | The path integral of four dimensional quantum gravity is restricted to
conformally self-dual metrics. It reduces to integrals over the conformal
factor and over the moduli space of conformally self--dual metrics and can be
studied with the methods of two dimensional quantum gravity in conformal gauge.
The conformal ano... | 1991-12-03 | 2014-11-18 | [
"hep-th"
] | Christof Schmidhuber (Caltech) |
hep-th/9112001 | Perturbations of a Stringy Black Hole | We extend the three dimensional stringy black hole of Horne and Horowitz to
four dimensions. After a brief discussion of the global properties of the
metric, we discuss the stability of the background with respect to small
perturbations, following the methods of Gilbert and of Chandrasekhar. The
potential for axial per... | 1991-12-02 | 2009-10-22 | [
"hep-th"
] | E. Raiten |
hep-th/9111064 | On Loop Equations In KdV Exactly Solvable String Theory | The non-perturbative behaviour of macroscopic loop amplitudes in the exactly
solvable string theories based on the KdV hierarchies is considered. Loop
equations are presented for the real non-perturbative solutions living on the
spectral half-line, allowed by the most general string equation
$[\tilde{P},Q]=Q$, where $\... | 1991-11-30 | 2010-11-01 | [
"hep-th"
] | Simon Dalley |
hep-th/9111060 | Self-avoiding effective strings in lattice gauge theories | It is shown that the effective string recently introduced to describe the
long distance dynamics of 3D gauge systems in the confining phase has an
intriguing description in terms of models of 2D self-avoiding walks in the
dense phase. The deconfinement point, where the effective string becomes N=2
supersymmetric, may t... | 1991-11-28 | 2009-10-22 | [
"hep-th"
] | M. Caselle and F. Gliozzi |
hep-th/9111061 | c=5/2 Free Fermion Model of WB_{2} Algebra | We investigate the explicit construction of the $WB_{2}$ algebra, which is
closed and associative for all values of the central charge $c$, using the
Jacobi identity and show the agreement with the results studied previously.
Then we illustrate a realization of $c=\frac{5}{2}$ free fermion model, which
is $m \rightarro... | 1991-11-28 | 2015-06-26 | [
"hep-th"
] | Changhyun Ahn |
hep-th/9111056 | Evanescent Black Holes | A renormalizable theory of quantum gravity coupled to a dilaton and conformal
matter in two space-time dimensions is analyzed. The theory is shown to be
exactly solvable classically. Included among the exact classical solutions are
configurations describing the formation of a black hole by collapsing matter.
The proble... | 1991-11-28 | 2009-09-17 | [
"hep-th"
] | C. Callan, S. Giddings, J. Harvey and A. Strominger |
hep-th/9111062 | On the classification of quantum W-algebras | In this paper we consider the structure of general quantum W-algebras. We
introduce the notions of deformability, positive-definiteness, and reductivity
of a W-algebra. We show that one can associate a reductive finite Lie algebra
to each reductive W-algebra. The finite Lie algebra is also endowed with a
preferred $sl(... | 1991-11-28 | 2009-10-22 | [
"hep-th"
] | P. Bowcock and G Watts |
hep-th/9111059 | N=2 String as a Topological Conformal Algebra | We prove that critical and subcritical N=2 string theory gives a realization
of an N=2 superfield extension of the topological conformal algebra. The
essential observation is the vanishing of the background charge. | 1991-11-28 | 2009-10-22 | [
"hep-th"
] | J. Gomis and H. Suzuki |
hep-th/9111063 | Three Dimensional Chern-Simons Theory as a Theory of Knots and Links | Three dimensional SU(2) Chern-Simons theory has been studied as a topological
field theory to provide a field theoretic description of knots and links in
three dimensions. A systematic method has been developed to obtain the
link-invariants within this field theoretic framework. The monodromy properties
of the correlat... | 1991-11-28 | 2009-10-22 | [
"hep-th",
"math.QA"
] | R. K. Kaul and T. R. Govindarajan |
hep-th/9111058 | Unitary Representations of $W$ Infinity Algebras | We study the irreducible unitary highest weight representations, which are
obtained from free field realizations, of $W$ infinity algebras ($W_{\infty}$,
$W_{1+\infty}$, $W_{\infty}^{1,1}$, $W_{\infty}^M$, $W_{1+\infty}^N$,
$W_{\infty}^{M,N}$) with central charges ($2$, $1$, $3$, $2M$, $N$, $2M+N$).
The characters of t... | 1991-11-28 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Satoru Odake |
hep-th/9111057 | General Neveu-Schwarz Correlators in Super Liouville Theory | In this paper we compute the N-point correlation functions of the tachyon
operator from the Neveu Schwarz sector of super Liouville theory coupled to
matter fields (with $\hat c\le 1$) in the super Coulomb gas formulation, on
world sheets with spherical topology. We first integrate over the zero mode
assuming that the ... | 1991-11-27 | 2007-05-23 | [
"hep-th"
] | E. Abdalla, M.C.B. Abdalla, D. Dalmazi, Koji Harada |
hep-th/9111055 | Three Dimensional Periodic $U(1)$ Gauge Theory and Strings | It will be argued that among the known systems in three dimensions that have
string like excitations periodic U(1) pure gauge theories are the most likely
candidates to lead to a string representation of their universal properties.
Some recent work with F. David will also be reviewed. | 1991-11-26 | 2009-10-22 | [
"hep-th"
] | H. Neuberger |
hep-th/9111049 | Operator Product Expansion and Topological States in $c = 1$ Matter
Coupled to 2-D Gravity | Factorization of the $N$-tachyon amplitudes in two-dimensional $c=1$ quantum
gravity is studied by means of the operator product expansion of vertex
operators after the Liouville zero mode integration. Short-distance
singularities between two tachyons with opposite chiralities account for all
singularities in the $N$-t... | 1991-11-25 | 2008-11-26 | [
"hep-th"
] | Norisuke Sakai and Yoshiaki Tanii |
hep-th/9111051 | Kontsevich - Miwa Transform of the Virasoro Constraints as Null-Vector
Decoupling Equations | We use the Kontsevich--Miwa transform to relate the Virasoro constraints on
integrable hierarchies with the David-Distler-Kawai formalism of
gravity-coupled conformal theories. The derivation relies on evaluating the
energy-momentum tensor on the hierarchy at special values of the spectral
parameter. We thus obtain in ... | 1991-11-25 | 2008-02-03 | [
"hep-th"
] | A.M.Semikhatov |
hep-th/9111050 | On Moduli Space of C=0 Topological Conformal Field Theories | We studied the marginal deformation of the $c=0$ topological conformal field
theories (TCFT). We showed that topological $SL(2)$ Wess-Zumino-Witten (WZW)
model, topological superconformal ghost system, TCFT constructed from the $N=2$
superconformal system and two dimensional topological gravity belong to the
same one p... | 1991-11-25 | 2009-10-22 | [
"hep-th"
] | Hisahiro Yoshii |
hep-th/9111052 | On Black Holes In String Theory | In these lecture notes from Strings `91, I briefly sketch the analogy between
two dimensional black holes and the s-wave sector of four dimensional black
holes, and the physical interest of the latter, particularly in the
magnetically charged case. | 1991-11-25 | 2012-06-03 | [
"hep-th"
] | Edward Witten |
hep-th/9111054 | The Super W_\INFTY Symmetry of the Manin-Radul Super KP Hierarchy | We show that the Manin-Radul super KP hierarchy is invariant under super
W_\infty transformations. These transformations are characterized by time
dependent flows which commute with the usual flows generated by the conserved
quantities of the super KP hierarchy. | 1991-11-25 | 2008-11-26 | [
"hep-th"
] | A. Das, E. Sezgin and S.J. Sin |
hep-th/9111053 | Quantum Mechanics on the Circle and W_{1+\INFTY} | The algebra W_{1+\infty} with central charge c=0 can be identified with the
algebra of quantum observables of a particle moving on a circle.
Mathematically, it is the universal enveloping algebra of the Euclidean algebra
in two dimensions. Similarly, the super W_\infty algebra is found to be the
universal enveloping al... | 1991-11-25 | 2009-10-22 | [
"hep-th"
] | R. Floreanini, R. Percacci and E. Sezgin |
hep-th/9111047 | The generalized no-ghost theorem for N=2 SUSY critical strings | We prove the no-ghost theorem for the N=2 SUSY strings in (2,2) dimensional
flat Minkowski space. We propose a generalization of this theorem for an
arbitrary geometry of the N=2 SUSY string theory taking advantage of the N=4
SCA generators present in this model. Physical states are found to be the
highest weight state... | 1991-11-23 | 2009-10-22 | [
"hep-th"
] | Jadwiga Bienkowska |
hep-th/9111048 | Ground Rings and Their Modules in 2D Gravity with $c\le 1$ Matter | All solvable two-dimensional quantum gravity models have non-trivial BRST
cohomology with vanishing ghost number. These states form a ring and all the
other states in the theory fall into modules of this ring. The relations in the
ring and in the modules have a physical interpretation. The existence of these
rings and ... | 1991-11-23 | 2009-09-15 | [
"hep-th"
] | D. Kutasov, E. Martinec and N. Seiberg |
hep-th/9111046 | On the classical $W_N^{(l)}$ algebras | We analyze the W_N^l algebras according to their conjectured realization as
the second Hamiltonian structure of the integrable hierarchy resulting from the
interchange of x and t in the l^{th} flow of the sl(N) KdV hierarchy. The W_4^3
algebra is derived explicitly along these lines, thus providing further support
for ... | 1991-11-22 | 2015-06-26 | [
"hep-th"
] | D.A.Depireux, P.Mathieu |
hep-th/9111045 | A Classical Instability of Reissner-Nordstrom Solutions and the Fate of
Magnetically Charged Black Holes | Working in the context of spontaneously broken gauge theories, we show that
the magnetically charged Reissner-Nordstrom solution develops a classical
instability if the horizon is sufficiently small. This instability has
significant implications for the evolution of a magnetically charged black
hole. In particular, it ... | 1991-11-22 | 2009-10-22 | [
"hep-th"
] | K.Lee, V.P.Nair and E.J.Weinberg |
hep-th/9111044 | Modified Black Holes in Two Dimensional Gravity | The $SL(2,R)/U(1)$ gauged WZWN model is modified by a topological term and
the accompanying change in the geometry of the two dimensional target space is
determined. The possibility of this additional term arises from a symmetry in
the general formalism of gauging an isometry subgroup of a non-linear sigma
model with a... | 1991-11-22 | 2009-10-22 | [
"hep-th"
] | N. Mohammedi |
hep-th/9111041 | Instabilities in the gravitational background and string theory | We indicate the tentative source of instability in the two-dimensional black
hole background. There are relevant operators among the tachyon and the higher
level vertex operators in the conformal field theory. Connection of this
instability with Hawking radiation is not obvious. The situation is somewhat
analogous to f... | 1991-11-21 | 2007-05-23 | [
"hep-th"
] | Anirvan M. Sengupta |
hep-th/9111042 | "the Instability of String-Theoretic Black Holes" | It is demonstrated that static, charged, spherically--symmetric black holes
in string theory are classically and catastrophically unstable to linearized
perturbations in four dimensions, and moreover that unstable modes appear for
arbitrarily small positive values of the charge. This catastrophic classical
instability ... | 1991-11-21 | 2007-05-23 | [
"hep-th"
] | Gerald Gilbert (umdhep.umd.edu) |
hep-th/9111043 | An introduction to quantized Lie groups and algebras | We give a selfcontained introduction to the theory of quantum groups
according to Drinfeld highlighting the formal aspects as well as the
applications to the Yang-Baxter equation and representation theory.
Introductions to Hopf algebras, Poisson structures and deformation quantization
are also provided. After having de... | 1991-11-21 | 2009-10-22 | [
"hep-th"
] | T.Tjin |
hep-th/9111036 | Dressing Symmetries | We study Lie-Poisson actions on symplectic manifolds. We show that they are
generated by non-Abelian Hamiltonians. We apply this result to the group of
dressing transformations in soliton theories; we find that the non-Abelian
Hamiltonian is just the monodromy matrix. This provides a new proof of their
Lie-Poisson prop... | 1991-11-20 | 2008-11-26 | [
"hep-th"
] | O. Babelon and D. Bernard |
hep-th/9111040 | A Superstring Theory in Four Curved Space-Time Dimensions | Neveu-Schwarz-Ramond type heterotic and type-II superstrings in four
dimensional curved space-time are constructed as exact $N=1$ superconformal
theories. The tachyon is eliminated with a GSO projection. The theory is based
on the N=1 superconformal gauged WZW model for the anti-de Sitter coset
$SO(3,2)/SO(3,1)$ with i... | 1991-11-20 | 2009-10-22 | [
"hep-th"
] | I. Bars and K. Sfetsos |
hep-th/9111038 | Charged Black Holes in Two-Dimensional String Theory | We discuss two dimensional string theories containing gauge fields introduced
either via coupling to open strings, in which case we get a Born-Infeld type
action, or via heterotic compactification. The solutions to the modified
background field equations are charged black holes which exhibit interesting
space-time geom... | 1991-11-20 | 2011-07-19 | [
"hep-th"
] | Michael D. McGuigan, Chiara R. Nappi and Scott A. Yost |
hep-th/9111035 | Exact S-Matrix for 2D String Theory | We formulate simple graphical rules which allow explicit calculation of
nonperturbative $c=1$ $S$-matrices. This allows us to investigate the
constraint of nonperturbative unitarity, which indeed rules out some theories.
Nevertheless, we show that there is an infinite parameter family of
nonperturbatively unitary $c=1$... | 1991-11-20 | 2011-04-05 | [
"hep-th"
] | Gregory Moore, M. Ronen Plesser, and Sanjaye Ramgoolam |
hep-th/9111037 | Unification of All String Models with $c<1$ | A 1-matrix model is proposed, which nicely interpolates between
double-scaling continuum limits of all multimatrix models. The interpolating
partition function is always a KP $\tau $-function and always obeys ${\cal
L}_{-1}$-constraint and string equation. Therefore this model can be considered
as a natural unification... | 1991-11-20 | 2009-10-22 | [
"hep-th"
] | S.Kharchev, A.Marshakov, A.Mironov, A.Morozov, A.Zabrodin |
hep-th/9111039 | Matrix Models at Finite N | We summarize some aspects of matrix models from the approaches directly based
on their properties at finite N. | 1991-11-20 | 2007-05-23 | [
"hep-th"
] | H. Itoyama |
hep-th/9111034 | Quantum W_3 Gravity | We briefly review some results in the theory of quantum $W_3$ gravity in the
chiral gauge. We compare them with similar results in the analogous but simpler
cases of $d=2$ induced gauge theories and $d=2$ induced gravity. | 1991-11-19 | 2007-05-23 | [
"hep-th"
] | Kareljan Schoutens, Alexander Sevrin and Peter van Nieuwenhuizen |
hep-th/9111033 | Supermatrix Models | Random matrix models based on an integral over supermatrices are proposed as
a natural extension of bosonic matrix models. The subtle nature of superspace
integration allows these models to have very different properties from the
analogous bosonic models. Two choices of integration slice are investigated.
One leads to ... | 1991-11-19 | 2015-06-26 | [
"hep-th"
] | Scott A. Yost |
hep-th/9111031 | On the Evaporation of Black Holes in String Theory | We show that, in string theory, the quantum evaporation and decay of black
holes in two-dimensional target space is related to imaginary parts in
higher-genus string amplitudes. These arise from the regularisation of modular
infinities due to the sum over world-sheet configurations, that are known to
express the instab... | 1991-11-18 | 2009-09-11 | [
"hep-th"
] | J. Ellis, N. E. Mavromatos and D.V. Nanopoulos |
hep-th/9111032 | W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies | Using the zero-curvature formulation, it is shown that W-algebra
transformations are symmetries of corresponding generalised Drinfel'd-Sokolov
hierarchies. This result is illustrated with the examples of the KdV and
Boussinesque hierarchies, and the hierarchy associated to the
Polyakov-Bershadsky W-algebra. | 1991-11-18 | 2009-10-22 | [
"hep-th"
] | B. Spence |
hep-th/9111028 | String field actions from W-infinity | Starting from $W_{\infty}$ as a fundamental symmetry and using the coadjoint
orbit method, we derive an action for one dimensional strings. It is shown that
on the simplest nontrivial orbit this gives the single scalar collective field
theory. On higher orbits one finds generalized KdV type field theories with
increasi... | 1991-11-15 | 2009-10-22 | [
"hep-th"
] | Jean Avan and Antal Jevicki |
hep-th/9111030 | Comments on Supersymmetric Vector and Matrix Models | Some results in random matrices are generalized to supermatrices, in
particular supermatrix integration is reduced to an integration over the
eigenvalues and the resulting volume element is shown to be equivalent to a one
dimensional Coulomb gas of both positive and negative charges.It is shown
that,for polynomial pote... | 1991-11-15 | 2010-04-06 | [
"hep-th"
] | A.D'adda |
hep-th/9111027 | Towards a Classification of Fusion Rule Algebras in Rational Conformal
Field Theories | We review the main topics concerning Fusion Rule Algebras (FRA) of Rational
Conformal Field Theories. After an exposition of their general properties, we
examine known results on the complete classification for low number of fields
($\leq 4$). We then turn our attention to FRA's generated polynomially by one
(real) fun... | 1991-11-15 | 2011-04-15 | [
"hep-th"
] | M.Caselle, G.Ponzano and F.Ravanini |
hep-th/9111029 | Isolated States and the Classical Phase Spase of 2-d String Theory | We investigate the classical phase space of 2-d string theory. We derive the
linearised covariant equations for the spacetime fields by considering the most
general deformation of the energy-momentum tensor which describes $c=1$ matter
system coupled to 2-d gravity and by demanding that it respect conformal
invariance.... | 1991-11-14 | 2009-10-22 | [
"hep-th"
] | Mark Evans and Ioannis Giannakis |
hep-th/9111026 | Critical Percolation in Finite Geometries | The methods of conformal field theory are used to compute the crossing
probabilities between segments of the boundary of a compact two-dimensional
region at the percolation threshold. These probabilities are shown to be
invariant not only under changes of scale, but also under mappings of the
region which are conformal... | 1991-11-14 | 2009-10-22 | [
"hep-th"
] | John Cardy |
hep-th/9111025 | Picard-Fuchs equations and mirror maps for hypersurfaces | We describe a strategy for computing Yukawa couplings and the mirror map,
based on the Picard-Fuchs equation. (Our strategy is a variant of the method
used by Candelas, de la Ossa, Green, and Parkes in the case of quintic
hypersurfaces.) We then explain a technique of Griffiths which can be used to
compute the Picard-F... | 1991-11-12 | 2008-02-03 | [
"hep-th",
"math.AG"
] | David R. Morrison |
hep-th/9111024 | Ward Identities of Liouville Gravity coupled to Minimal Conformal Matter | The Ward identities of the Liouville gravity coupled to the minimal conformal
matter are investigated. We introduce the pseudo-null fields and the
generalized equations of motion, which are classified into series of the
Liouville charges. These series have something to do with the W and Virasoro
constraints. The pseudo... | 1991-11-12 | 2008-11-26 | [
"hep-th"
] | Ken-ji Hamada |
hep-th/9111022 | Restricted sine-Gordon Theory in the Repulsive Regime as Perturbed
Minimal CFTs | We construct the restricted sine-Gordon theory by truncating the sine-Gordon
multi-soliton Hilbert space for the repulsive coupling constant due to the
quantum group symmetry $SL_q(2)$ which we identify from the Korepin's
$S$-matrices. We connect this restricted sine-Gordon theory with the minimal
($c<1$) conformal fie... | 1991-11-11 | 2007-05-23 | [
"hep-th"
] | Changrim Ahn |
hep-th/9111021 | Bosonization of Nonrelativistic Fermions and W-infinity Algebra | We discuss the bosonization of non-relativistic fermions in one space
dimension in terms of bilocal operators which are naturally related to the
generators of $W$-infinity algebra. The resulting system is analogous to the
problem of a spin in a magnetic field for the group $W$-infinity. The new
dynamical variables turn... | 1991-11-11 | 2009-10-22 | [
"hep-th"
] | Sumit R. Das, Avinash Dhar, Gautam Mandal and Spenta R. Wadia |
hep-th/9111023 | Representation of Quantum Algebras and q-Special Functions | The connection between q-analogs of special functions and representations of
quantum algebras has been developed recently. It has led to advances in the
theory of q-special functions that we here review. | 1991-11-11 | 2008-02-03 | [
"hep-th",
"math.QA"
] | R. Floreanini and L. Vinet |
hep-th/9111018 | N=2 Coset Compactifications with Non-Diagonal Invariants | We consider 4-dimensional string models obtained by tensoring N=2 coset
theories with non-diagonal modular invariants. We present results from a
systematic analysis including moddings by discrete symmetries. | 1991-11-08 | 2009-03-27 | [
"hep-th"
] | G. Aldazabal, I. Allekotte, A. Font and C. Nunez |
hep-th/9111020 | Topological Landau-Ginzburg Matter from Sp(N)_{K} Fusion Rings | We find and analyze the Landau-Ginzburg potentials whose critical points
determine chiral rings which are exactly the fusion rings of Sp(N)_{K} WZW
models. The quasi-homogeneous part of the potential associated with Sp(N)_{K}
is the same as the quasi-homogeneous part of that associated with SU(N+1)_{K},
showing that th... | 1991-11-08 | 2009-10-22 | [
"hep-th"
] | Michelle Bourdeau, Eli J. Mlawer, Harold Riggs, and Howard J.
Schnitzer |
hep-th/9111019 | Physics Focus and Fiscal Forces | Two items are reproduced herein: my `Outlook' talk, an amended version of
which was presented at the 1991 joint Lepton--Photon and EPS Conference in
Geneva, and an Open Letter addressed to HEPAP. One is addressed primarily to
the European high--energy physics community, the other to the American. A
common theme of thes... | 1991-11-08 | 2007-05-23 | [
"hep-th"
] | S. L. Glashow |
hep-th/9111016 | Exact Results for Supersymmetric Sigma Models | We show that the metric and Berry's curvature for the ground states of $N=2$
supersymmetric sigma models can be computed exactly as one varies the Kahler
structure. For the case of $CP^n$ these are related to special solutions of
affine toda equations. This allows us to extract exact results (including exact
instanton ... | 1991-11-07 | 2009-10-22 | [
"hep-th"
] | S. Cecotti and C. Vafa |
hep-th/9111014 | Scattering and Thermodynamics of Fractionally-Charged Supersymmetric
Solitons | We show that there are solitons with fractional fermion number in integrable
$N$=2 supersymmetric models. We obtain the soliton S-matrix for the minimal,
$N$=2 supersymmetric theory perturbed in the least relevant chiral primary
field, the $\Phi _{(1,3)}$ superfield. The perturbed theory has a nice
Landau-Ginzburg desc... | 1991-11-07 | 2009-10-22 | [
"hep-th"
] | P. Fendley and K. Intriligator |
hep-th/9111017 | Topological Mirrors and Quantum Rings | Aspects of duality and mirror symmetry in string theory are discussed. We
emphasize, through examples, the importance of loop spaces for a deeper
understanding of the geometrical origin of dualities in string theory. Moreover
we show that mirror symmetry can be reformulated in very simple terms as the
statement of equi... | 1991-11-07 | 2007-05-23 | [
"hep-th"
] | C. Vafa |
hep-th/9111015 | Differential Renormalization of the Wess-Zumino Model | We apply the recently developed method of differential renormalization to the
Wess-Zumino model. From the explicit calculation of a finite, renormalized
effective action, the $\beta$-function is computed to three loops and is found
to agree with previous existing results. As a further, nontrivial check of the
method, t... | 1991-11-07 | 2009-10-22 | [
"hep-th"
] | Peter E. Haagensen |
hep-th/9111013 | Extra States in C<1 String Theory | A construction of elements of the BRS cohomology of ghost number +/- 1 in c<1
string theory is described, and their two-point function computed on the
sphere. The construction makes precise the relation between these extra states
and null vectors. The physical states of ghost number +1 are found to be exact
forms with ... | 1991-11-06 | 2007-05-23 | [
"hep-th"
] | Sunil Mukhi |
hep-th/9111011 | Intrinsic and extrinsic geometry of random surfaces | We prove that the extrinsic Hausdorff dimension is always greater than or
equal to the intrinsic Hausdorff dimension in models of triangulated random
surfaces with action which is quadratic in the separation of vertices. We
furthermore derive a few naive scaling relations which relate the intrinsic
Hausdorff dimension ... | 1991-11-05 | 2009-10-22 | [
"hep-th"
] | Thordur Jonsson |
hep-th/9111009 | Geometry of Scattering at Planckian Energies | We present an alternative derivation and geometrical formulation of Verlinde
topological field theory, which may describe scattering at center of mass
energies comparable or larger than the Planck energy. A consistent trunckation
of 3+1 dimensional Einstein action is performed using the standard geometrical
objects, li... | 1991-11-05 | 2009-10-22 | [
"hep-th"
] | Renata Kallosh |
hep-th/9111012 | Flows and Solitary Waves in Unitary Matrix Models with Logarithmic
Potentials | We investigate unitary one-matrix models coupled to bosonic quarks. We derive
a flow equation for the square-root of the specific heat as a function of the
renormalized quark mass. We show numerically that the flows have a finite
number of solitary waves, and we postulate that their number equals the number
of quark fl... | 1991-11-05 | 2009-10-22 | [
"hep-th"
] | Joseph A. Minahan |
hep-th/9111010 | D=10 supersymmetric chern-simons gauge theory | The Chern-Simons ten-dimensional manifestly supersymmetric non-Abelian gauge
theory is presented by performing the second quantization of the superparticle
theory. The equation of motion is $F = (d+A)^2 = 0$, where $d$ is the nilpotent
fermionic BRST operator of the first quantized theory and $A$ is the anti-
commuting... | 1991-11-05 | 2007-05-23 | [
"hep-th"
] | R. Kallosh |
hep-th/9111007 | Polymers and percolation in two dimensions and twisted N=2 supersymmetry | It is shown how twisted N=2 (k=1) provides for the first time a complete
conformal field theory description of the usual geometrical phase transitions
in two dimensions, like polymers, percolation or brownian motion. In
particular, four point functions of operators with half integer Kac labels are
computed, together wi... | 1991-11-04 | 2009-10-22 | [
"hep-th"
] | Hubert Saleur |
hep-th/9111005 | Quantum Harmonic Oscillator Algebra and Link Invariants | The $q$--deformation $U_q (h_4)$ of the harmonic oscillator algebra is
defined and proved to be a Ribbon Hopf algebra.Associated with this Hopf
algebra we define an infinite dimensional braid group representation on the
Hilbert space of the harmonic oscillator, and an extended Yang--Baxter system
in the sense of Turaev... | 1991-11-04 | 2008-02-03 | [
"hep-th",
"math.QA"
] | C. Gomez and G. Sierra |
hep-th/9111006 | Chern-Simons Dynamics and the Quantum Hall Effect | Theoretical developments during the past several years have shown that large
scale properties of the Quantum Hall system can be successfully described by
effective field theories which use the Chern-Simons interaction. In this
article, we first recall certain salient features of the Quantum Hall Effect
and their micros... | 1991-11-04 | 2007-05-23 | [
"hep-th"
] | A. P. Balachandran and A.M. Srivastava |
hep-th/9111008 | Geometrical Lattice models for N=2 supersymmetric theories in two
dimensions | We introduce in this paper two dimensional lattice models whose continuum
limit belongs to the $N=2$ series. The first kind of model is integrable and
obtained through a geometrical reformulation, generalizing results known in the
$k=1$ case, of the $\Gamma_{k}$ vertex models (based on the quantum algebra
$U_{q}sl(2)$ ... | 1991-11-04 | 2009-10-22 | [
"hep-th"
] | Hubert Saleur |
hep-th/9111004 | Chern-Simons Theory with Finite Gauge Group | These theories, which are surely some of the simplest possible quantum field
theories, were introduced in a paper of Dijkgraaf and Witten. The path integral
reduces to a finite sum, so it is quite amenable to direct mathematical study.
Although the theory exisits in arbitrary dimensions, it is most interesting in
$2+1$... | 1991-11-03 | 2010-11-01 | [
"hep-th",
"math.QA"
] | Daniel S. Freed, Frank Quinn |
hep-th/9111003 | A Remark on Conformal Anomaly and Extrinsic Geometry of Random Surfaces | In low dimensions, conformal anomaly has profound influence on the critical
behavior of random surfaces with extrinsic curvature rigidity $1/\a$. We
illustrate this by making a small $D$ expansion of rigid random surfaces, where
a non-trivial infra-red fixed point is shown to exist. We speculate on the
renormalization ... | 1991-11-02 | 2008-11-26 | [
"hep-th"
] | Zhu Yang |
hep-th/9111002 | Anomaly Freedom and Realisations for Super-$W_3$ Strings | We construct new multi-field realisations of the $N=2$ super-$W_3$ algebra,
which are important for building super-$W_3$ string theories. We derive the
structure of the ghost vacuum for such theories, and use the result to
calculate the intercepts. These results determine the conditions for physical
states in the super... | 1991-11-01 | 2009-10-07 | [
"hep-th"
] | H. Lu, C.N. Pope, X.J. Wang and K.W. Xu |
hep-th/9111001 | Topological Field Theories and Space-Time Singularity | Based on a study of recently proposed solution of 2 dim. black hole we argue
that the space-time singularities of general relativity may be described by
topological field theories (TFTs). We also argue that in general TFT is a field
theory which decsribes singular configurations with a reduced holonomy in its
field spa... | 1991-11-01 | 2009-10-22 | [
"hep-th"
] | Tohru Eguchi (Enrico Fermi Institute, University of Chicago and
Department of Physics, University of Tokyo) |
hep-th/9110076 | Non-Compact WZW Conformal Field Theories | We discuss non-compact WZW sigma models, especially the ones with symmetric
space $H^{\bf C}/H$ as the target, for $H$ a compact Lie group. They offer
examples of non-rational conformal field theories. We remind their relation to
the compact WZW models but stress their distinctive features like the
continuous spectrum ... | 1991-10-31 | 2007-05-23 | [
"hep-th"
] | Krzysztof Gawedzki |
hep-th/9110072 | Conformal Edge Currents in Chern-Simons Theories | We develop elementary canonical methods for the quantization of abelian and
nonabelian Chern-Simons actions using well known ideas in gauge theories and
quantum gravity. Our approach does not involve choice of gauge or clever
manipulations of functional integrals. When the spatial slice is a disc, it
yields Witten's ed... | 1991-10-30 | 2015-06-26 | [
"hep-th"
] | A.P.Balachandran, G. Bimonte, K.S.Gupta and A. Stern |
hep-th/9110073 | The Covariant W_3 Action | Starting from SL(3,R) Chern-Simons theory we derive the covariant action for
W_3 gravity. | 1991-10-30 | 2009-10-22 | [
"hep-th"
] | Jan de Boer and Jacob Goeree |
hep-th/9110075 | On N=2 strings and classical scattering solutions of self-dual
Yang-Mills in (2,2) spacetime | Ooguri and Vafa have shown that the open N=2 string corresponds to self-dual
Yang-Mills (SDYM) and also that, in perturbation theory, it has has a vanishing
four particle scattering amplitude. We discuss how the dynamics of the three
particle scattering implies that on shell states can only scatter if their
momenta lie... | 1991-10-30 | 2009-10-22 | [
"hep-th"
] | Andrew Parkes |
hep-th/9110074 | A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY
Quantum Chain in a Magnetic Field | We show that the XY quantum chain in a magnetic field is invariant under a
two parameter deformation of the SU(1/1) superalgebra. One is led to an
extension of the braid group and the Hecke algebra which reduce to the known
ones when the two parameter coincide. The physical significance of the two
parameters is discuss... | 1991-10-30 | 2009-10-22 | [
"hep-th"
] | Haye Hinrichsen and Vladimir Rittenberg |
hep-th/9110071 | Extra Observables in Gauged WZW Models | It is known that Liouville theory can be represented as an SL(2,R) gauged WZW
model. We study a two dimensional field theory which can be obtained by
analytically continuing some of the variables in the SL(2,R) gauged WZW model.
We can derive Liouville theory from the analytically continued model, ( which
is a gauged S... | 1991-10-30 | 2009-10-22 | [
"hep-th"
] | Nobuyuki Ishibashi |
hep-th/9110069 | Analysis of Observables in Chern-Simons Perturbation Theory | Chern-Simons Theory with gauge group $SU(N)$ is analyzed from a perturbation
theory point of view. The vacuum expectation value of the unknot is computed up
to order $g^6$ and it is shown that agreement with the exact result by Witten
implies no quantum correction at two loops for the two-point function. In
addition, i... | 1991-10-29 | 2009-10-22 | [
"hep-th"
] | M. Alvarez and J.M.F. Labastida |
hep-th/9110070 | Heterotic instantons and solitons in anomaly-free supergravity | We extend the classical heterotic instanton solutions to all orders in
$\alpha'$ using the equations of anomaly-free supergravity, and discuss the
relation between these equations and the string theory $\beta$-functions. | 1991-10-29 | 2009-10-22 | [
"hep-th"
] | I. Pesando and A. Tollsten |
hep-th/9110068 | Two-Dimensional Quantum Gravity on a Disk | We study a two-dimensional conformal field theory coupled to quantum gravity
on a disk. Using the continuum Liouville field approach, we compute three-point
correlation functions of boundary operators. The structure of momentum
singularities is different from that of correlation functions on a sphere and
is more compli... | 1991-10-28 | 2009-10-22 | [
"hep-th"
] | Yoshiaki Tanii and Shun-ichi Yamaguchi |
hep-th/9110066 | Macdonald Polynomials from Sklyanin Algebras: A Conceptual Basis for the
$p$-Adics-Quantum Group Connection | We establish a previously conjectured connection between $p$-adics and
quantum groups. We find in Sklyanin's two parameter elliptic quantum algebra
and its generalizations, the conceptual basis for the Macdonald polynomials,
which ``interpolate'' between the zonal spherical functions of related real and
$p$\--adic symm... | 1991-10-24 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Peter G. O. Freund and Anton V. Zabrodin |
hep-th/9110067 | Some Exact Solutions of String Theory in Four and Five Dimensions | We find several classes of exact classical solutions of critical bosonic
string theory, constructed as twisted products of one Euclidean and one
Minkowskian 2D black hole coset. One class of these solutions leads (after
tensoring with free scalars and supersymmetrizing) to a rotating version of the
recently discovered ... | 1991-10-24 | 2009-10-22 | [
"hep-th"
] | Petr Horava |
hep-th/9110065 | An Equivalence Between Momentum and Charge in String Theory | It is shown that for a translationally invariant solution to string theory,
spacetime duality interchanges the momentum in the symmetry direction and the
axion charge per unit length. As one application, we show explicitly that
charged black strings are equivalent to boosted (uncharged) black strings. The
extremal blac... | 1991-10-23 | 2009-10-22 | [
"hep-th"
] | James H. Horne, Gary T. Horowitz, and Alan R. Steif |
hep-th/9110063 | Fusion Potentials for G_k and Handle Squashing | Using Chern-Simons gauge theory, we show that the fusion ring of the
conformal field theory G_k is isomorphic to P(u)/(\del V), where V is a
polynomial in u and (\del V) is the ideal generated by the conditions \del V=0.
We also derive a residue-like formula for the correlation functions in the
Chern-Simons theory thus... | 1991-10-22 | 2009-10-22 | [
"hep-th"
] | Michael Crescimanno |
hep-th/9110064 | New Integrable Systems from Unitary Matrix Models | We show that the one dimensional unitary matrix model with potential of the
form $a U + b U^2 + h.c.$ is integrable. By reduction to the dynamics of the
eigenvalues, we establish the integrability of a system of particles in one
space dimension in an external potential of the form $a \cos (x+\alpha ) + b
\cos ( 2x +\be... | 1991-10-22 | 2009-10-22 | [
"hep-th"
] | Alexios P. Polychronakos |
hep-th/9110057 | 3-dimensional Gravity from the Turaev-Viro Invariant | We study the $q$-deformed su(2) spin network as a 3-dimensional quantum
gravity model. We show that in the semiclassical continuum limit the
Turaev-Viro invariant obtained recently defines naturally regularized
path-integral $\grave{\rm a}$ la Ponzano-Regge, In which a contribution from
the cosmological term is effecti... | 1991-10-21 | 2010-11-01 | [
"hep-th"
] | Shun'ya Mizoguchi and Tsukasa Tada |
hep-th/9110060 | Complete structure of Z_n Yukawa couplings | We give the complete twisted Yukawa couplings for all the Z_n orbifold
constructions in the most general case, i.e. when orbifold deformations are
considered. This includes a certain number of tasks. Namely, determination of
the allowed couplings, calculation of the explicit dependence of the Yukawa
couplings values on... | 1991-10-21 | 2015-06-26 | [
"hep-th"
] | J.A. Casas, F. Gomez and C. Mu\~noz |
hep-th/9110059 | On the Covariant Quantization of the 2nd-Ilk Superparticle | This paper is devoted to the quantization of the second-ilk superparticle
using the Batalin-Vilkovisky method. We show the full structure of the master
action. By imposing gauge conditions on the gauge fields rather than on
coordinates we find a gauge-fixed quantum action which is free. The structure
of the BRST charge... | 1991-10-21 | 2015-06-26 | [
"hep-th"
] | J.L. Vazquez-Bello |
hep-th/9110061 | Generalised Abelian Chern-Simons Theories and their Connection to
Conformal Field Theories | We discuss the generalization of Abelian Chern-Simons theories when $\theta
$-angles and magnetic monopoles are included. We map sectors of two dimensional
Conformal Field Theories into these three dimensional theories. | 1991-10-21 | 2015-06-26 | [
"hep-th"
] | Marco A. C. Kneipp |
hep-th/9110062 | Semirigid Geometry | We provide an intrinsic description of $N$-super \RS s and $TN$-\SR\
surfaces. Semirigid surfaces occur naturally in the description of topological
gravity as well as topological supergravity. We show that such surfaces are
obtained by an integrable reduction of the structure group of a complex
supermanifold. We also d... | 1991-10-21 | 2015-06-26 | [
"hep-th"
] | Govindarajan, Nelson, Wong |
hep-th/9110058 | Root Systems and Purely Elastic S-Matrices II | Starting from a recently-proposed general formula, various properties of the
ADE series of purely elastic S-matrices are rederived in a universal way. In
particular, the relationship between the pole structure and the bootstrap
equations is shown to follow from properties of root systems. The discussion
leads to a form... | 1991-10-21 | 2010-11-01 | [
"hep-th"
] | Patrick Dorey |
hep-th/9110056 | Chern-Simons Perturbation Theory | We study the perturbation theory for three dimensional Chern--Simons quantum
field theory on a general compact three manifold without boundary. We show that
after a simple change of variables, the action obtained by BRS gauge fixing in
the Lorentz gauge has a superspace formulation. The basic properties of the
propagat... | 1991-10-20 | 2008-02-03 | [
"hep-th",
"math.DG",
"math.QA"
] | Scott Axelrod and I. M. Singer |
hep-th/9110055 | Topological Matter, Integrable Models and Fusion Rings | We show how topological $G_k/G_k$ models can be embedded into the topological
matter models that are obtained by perturbing the twisted $N=2$ supersymmetric,
hermitian symmetric, coset models. In particular, this leads to an embedding of
the fusion ring of $G$ as a sub-ring of the perturbed, chiral primary ring. The
pe... | 1991-10-19 | 2009-10-22 | [
"hep-th"
] | D. Nemeschansky and N.P. Warner |
hep-th/9110053 | Duality, Quotients, and Currents | We study the generalization of $R\to 1/R$ duality to arbitrary conformally
invariant sigma models with an isometry. We show that any pair of dual sigma
models can be represented as quotients of a self-dual sigma model obtained by
gauging different combinations of chiral currents. This observation is used to
clarify the... | 1991-10-18 | 2009-10-22 | [
"hep-th"
] | Martin Rocek and Erik Verlinde |
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