abstract stringlengths 6 6.09k | id stringlengths 9 16 | time int64 725k 738k |
|---|---|---|
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 comp... | hep-th/9110068 | 727,133 |
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,... | hep-th/9110069 | 727,134 |
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.
| hep-th/9110070 | 727,134 |
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... | hep-th/9110071 | 727,135 |
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 ... | hep-th/9110072 | 727,135 |
Starting from SL(3,R) Chern-Simons theory we derive the covariant action for
W_3 gravity.
| hep-th/9110073 | 727,135 |
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 discu... | hep-th/9110074 | 727,135 |
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 l... | hep-th/9110075 | 727,135 |
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 spectru... | hep-th/9110076 | 727,136 |
The author argues to Silicon Valley that the most important and powerful part
of computer science is work that is simultaneously theoretical and practical.
He particularly considers the intersection of the theory of algorithms and
practical software development. He combines examples from the development of
the TeX ty... | cs/9301114 | 727,137 |
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 s... | hep-th/9111001 | 727,137 |
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 sup... | hep-th/9111002 | 727,137 |
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
renormalizatio... | hep-th/9111003 | 727,138 |
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 Tura... | hep-th/9111005 | 727,140 |
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 ... | hep-th/9111007 | 727,140 |
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 micr... | hep-th/9111006 | 727,140 |
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)... | hep-th/9111008 | 727,140 |
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, ... | hep-th/9111009 | 727,141 |
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-
commuti... | hep-th/9111010 | 727,141 |
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 dimensio... | hep-th/9111011 | 727,141 |
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 ... | hep-th/9111012 | 727,141 |
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 wit... | hep-th/9111013 | 727,142 |
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 de... | hep-th/9111014 | 727,143 |
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,... | hep-th/9111015 | 727,143 |
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
instanto... | hep-th/9111016 | 727,143 |
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 eq... | hep-th/9111017 | 727,143 |
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.
| hep-th/9111018 | 727,144 |
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 th... | hep-th/9111019 | 727,144 |
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 ... | hep-th/9111020 | 727,144 |
We prove the existence of at least $cl(M)$ periodic orbits for certain time
dependant Hamiltonian systems on the cotangent bundle of an arbitrary compact
manifold $M$. These Hamiltonians are not necessarily convex but they satisfy a
certain boundary condition given by a Riemannian metric on $M$. We discretize
the var... | math/9201297 | 727,147 |
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 tu... | hep-th/9111021 | 727,147 |
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 f... | hep-th/9111022 | 727,147 |
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.
| hep-th/9111023 | 727,147 |
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 pseu... | hep-th/9111024 | 727,148 |
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... | hep-th/9111025 | 727,148 |
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
invarianc... | hep-th/9111029 | 727,150 |
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 conform... | hep-th/9111026 | 727,150 |
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) f... | hep-th/9111027 | 727,151 |
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
increa... | hep-th/9111028 | 727,151 |
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 po... | hep-th/9111030 | 727,151 |
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 inst... | hep-th/9111031 | 727,154 |
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.
| hep-th/9111032 | 727,154 |
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 t... | hep-th/9111033 | 727,155 |
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.
| hep-th/9111034 | 727,155 |
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=... | hep-th/9111035 | 727,156 |
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 pr... | hep-th/9111036 | 727,156 |
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 unificati... | hep-th/9111037 | 727,156 |
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 ge... | hep-th/9111038 | 727,156 |
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... | hep-th/9111040 | 727,156 |
We summarize some aspects of matrix models from the approaches directly based
on their properties at finite N.
| hep-th/9111039 | 727,156 |
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... | hep-th/9111041 | 727,157 |
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
instabilit... | hep-th/9111042 | 727,157 |
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... | hep-th/9111044 | 727,158 |
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
fo... | hep-th/9111046 | 727,158 |
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 sta... | hep-th/9111047 | 727,159 |
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 an... | hep-th/9111048 | 727,159 |
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 $N$... | hep-th/9111049 | 727,161 |
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... | hep-th/9111050 | 727,161 |
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.
| hep-th/9111052 | 727,161 |
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 ... | hep-th/9111053 | 727,161 |
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.
| hep-th/9111054 | 727,161 |
Let $K$ be a compact subset of $\bar{\bold C} ={\bold R}^2$ and let $K^c$
denote its complement. We say $K\in HR$, $K$ is holomorphically removable, if
whenever $F:\bar{\bold C} \to\bar{\bold C}$ is a homeomorphism and $F$ is
holomorphic off $K$, then $F$ is a M\"obius transformation. By composing with a
M\"obius tra... | math/9201298 | 727,162 |
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 th... | hep-th/9111057 | 727,163 |
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 prob... | hep-th/9111056 | 727,164 |
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... | hep-th/9111058 | 727,164 |
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.
| hep-th/9111059 | 727,164 |
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 correl... | hep-th/9111063 | 727,164 |
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... | hep-th/9111060 | 727,164 |
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 $s... | hep-th/9111062 | 727,164 |
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 \rightar... | hep-th/9111061 | 727,164 |
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 ... | hep-th/9111064 | 727,166 |
This article is a sketch of ideas that were once intended to appear in the
author's famous series, "The Art of Computer Programming". He generalizes the
notion of a context-free language from a set to a multiset of words over an
alphabet. The idea is to keep track of the number of ways to parse a string.
For example,... | cs/9301115 | 727,167 |
A survey of ghost techniques in mathematical physics, which can be grouped
under the rubric of `cohomological physics', particularly BRST cohomology.
| hep-th/9112002 | 727,169 |
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 c... | hep-th/9112003 | 727,169 |
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 ac... | hep-th/9112004 | 727,169 |
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... | hep-th/9112006 | 727,170 |
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 th... | hep-th/9112007 | 727,170 |
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 limit... | hep-th/9112008 | 727,170 |
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... | hep-th/9112009 | 727,170 |
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, ... | hep-th/9112010 | 727,171 |
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 struct... | hep-th/9112011 | 727,171 |
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 thre... | hep-th/9112012 | 727,171 |
For a large class of hierarchies of integrable equations admitting a
classical $r-$matrix, we propose a construction for the Virasoro algebra
actionon the Lax operators which commutes with the hierarchy flows. The
construction relies on the existence of dressing transformations associated to
the $r$-matrix and does n... | hep-th/9112016 | 727,172 |
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... | hep-th/9112013 | 727,172 |
We show that the $N=2$ superstring in $d=2D\ge6$ real dimensions, with
criticality achieved by including background charges in the two real time
directions, exhibits a ``coordinate-freezing'' phenomenon, whereby the momentum
in one of the two time directions is constrained to take a specific value for
each physical s... | hep-th/9112014 | 727,172 |
Fractional superstrings are recently-proposed generalizations of the
traditional superstrings and heterotic strings. They have critical spacetime
dimensions which are less than ten, and in this paper we investigate
model-building for the heterotic versions of these new theories. We concentrate
on the cases with criti... | hep-th/9112015 | 727,172 |
The universality of the non-perturbative definition of Hermitian one-matrix
models following the quantum, stochastic, or $d=1$-like stabilization is
discussed in comparison with other procedures. We also present another
alternative definition, which illustrates the need of new physical input for
$d=0$ matrix models t... | hep-th/9112017 | 727,175 |
We propose a discrete model whose continuum limit reproduces the string
susceptibility and the scaling dimensions of $(2,4m)$-minimal superconformal
models coupled to $2D$-supergravity. The basic assumption in our presentation
is a set of super-Virasoro constraints imposed on the partition function. We
recover the Ne... | hep-th/9112018 | 727,175 |
Continuum and discrete approaches to 2d gravity coupled to $c<1$ matter are
reviewed.
| hep-th/9112019 | 727,175 |
We identify the puncture operator in c=1 Liouville gravity as the discrete
state with spin J=1/2. The correlation functions involving this operator
satisfy the recursion relation which is characteristic in topological gravity.
We derive the recursion relation involving the puncture operator by the
operator product ex... | hep-th/9112021 | 727,176 |
We ask whether the recently discovered superstring and superfivebrane
solutions of D=10 supergravity admit the interpretation of non-singular
solitons even though, in the absence of Yang-Mills fields, they exhibit
curvature singularities at the origin. We answer the question using a test
probe/source approach, and fi... | hep-th/9112023 | 727,176 |
In this paper, we assume that $G$ is a finitely generated torsion free
non-elementary Kleinian group with $\Omega(G)$ nonempty. We show that the
maximal number of elements of $G$ that can be pinched is precisely the maximal
number of rank 1 parabolic subgroups that any group isomorphic to $G$ may
contain. A group wit... | math/9201299 | 727,177 |
It is shown, using the Wakimoto representation, that the level zero SU(2)
Kac-Moody conformal field theory is topological and can be obtained by twisting
an N=2 superconformal theory. Expressions for the associated N=2 superconformal
generators are written down and the Kac-Moody generators are shown to be BRST
exact.... | hep-th/9112026 | 727,177 |
We review the structure of W_\infty algebras, their super and topological
extensions, and their contractions down to (super) w_\infty. Emphasis is put on
the field theoretic realisations of these algebras. We also review the
structure of w_\infty and W_\infty gravities and comment on various
applications of W_\infty ... | hep-th/9112025 | 727,177 |
We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and
show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an
$N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro
algebra as a subalgebra. We discuss how one can extract from these results
information ... | hep-th/9112028 | 727,178 |
The tree-level three-point correlation functions of local operators in the
general $(p,q)$ minimal models coupled to gravity are calculated in the
continuum approach. On one hand, the result agrees with the unitary series
($q=p+1$); and on the other hand, for $p=2, q=2k-1$, we find agreement with the
one-matrix model... | hep-th/9112029 | 727,178 |
These notes are based on lectures given by C. Callan and J. Harvey at the
1991 Trieste Spring School on String Theory and Quantum Gravity. The subject is
the construction of supersymmetric soliton solutions to superstring theory. A
brief review of solitons and instantons in supersymmetric theories is
presented. Yang-... | hep-th/9112030 | 727,179 |
Using nonperturbative techniques, we study the renormalization group
trajectory between two conformal field theories. Specifically, we investigate a
perturbation of the A3 superconformal minimal model such that in the infrared
limit the theory flows to the A2 model. The correlation functions in the
topological sector... | hep-th/9112031 | 727,179 |
We study the renormalization group for nearly marginal perturbations of a
minimal conformal field theory M_p with p >> 1. To leading order in
perturbation theory, we find a unique one-parameter family of ``hopping
trajectories'' that is characterized by a staircase-like renormalization group
flow of the C-function an... | hep-th/9112032 | 727,179 |
We study $c<1$ matter coupled to gravity in the Coulomb gas formalism using
the double cohomology of the string BRST and Felder BRST charges. We find that
states outside the primary conformal grid are related to the states of non-zero
ghost number by means of descent equations given by the double cohomology. Some
asp... | hep-th/9112033 | 727,180 |
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