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hep-th/9207038
Compensating Fields and Anomalies in Supergravity
We discuss the quantization of theories which are formulated using compensating fields. In particular, we discuss the relation between the components formulation and the superspace formulation of supergravity theories. The requirement that the compensating field can be eliminated at the quantum level gives rise to on-s...
1992-07-13
2009-10-22
[ "hep-th" ]
Yigal Shamir
hep-th/9207043
Self-Dual N=8 Supergravity as Closed N=2(4) Strings
As open N=2 or 4 strings describe self-dual N=4 super Yang-Mills in 2+2 dimensions, the corresponding closed (heterotic) strings describe self-dual ungauged (gauged) N=8 supergravity. These theories are conveniently formulated in a chiral superspace with general supercoordinate and local OSp(8|2) gauge invariances. The...
1992-07-13
2010-11-01
[ "hep-th" ]
W. Siegel
hep-th/9207039
Current Algebra in Three Dimensions
We study a three dimensional analogue of the Wess--Zumino--Witten model, which describes the Goldstone bosons of three dimensional Quantum Chromodynamics. The topologically non--trivial term of the action can also be viewed as a nonlinear realization of Chern--Simons form. We obtain the current algebra of this model by...
1992-07-13
2009-10-22
[ "hep-th" ]
G. Ferretti and S.G. Rajeev
hep-th/9207035
Classification of Superconformal Algebras with Quadratic Non-Linearity
A unified treatment of both superconformal and quasisuperconformal algebras with quadratic non-linearity is given. General formulas describing their structure are found by solving the Jacobi identities. A complete classification of quasisuperconformal and ${\bf Z}_2\times{\bf Z}_2$-graded algebras are obtained and in a...
1992-07-12
2007-05-23
[ "hep-th" ]
E.S.Fradkin and V.Ya.Linetsky
hep-th/9207034
Quantum Theories of Dilaton Gravity
Quantization of two-dimensional dilaton gravity coupled to conformal matter is investigated. Working in conformal gauge about a fixed background metric, the theory may be viewed as a sigma model whose target space is parameterized by the dilaton $\phi$ and conformal factor $\rho$. A precise connection is given between ...
1992-07-11
2009-09-17
[ "hep-th" ]
Steven B. Giddings and Andrew Strominger
hep-th/9207031
Commuting quantities and exceptional W-algebras
Sets of commuting charges constructed from the current of a U(1) Kac-Moody algebra are found. There exists a set S_n of such charges for each positive integer n > 1; the corresponding value of the central charge in the Feigin-Fuchs realization of the stress tensor is c = 13-6n-6/n. The charges in each series can be wri...
1992-07-10
2015-06-26
[ "hep-th" ]
M.D. Freeman, K. Hornfeck and P. West
hep-th/9207032
Reduction of the Knizhnik-Zamolodchikov Equation - a Way of Producing Virasoro Algebra Singular Vectors
It is shown that the sl(2,C) KZ equation for (half-) integer isospins recovers, up to a gauge transformation, the matrix system for Virasoro algebra singular vectors of Bauer et al. In the case of Kac-Kazhdan spins the general (infinite matrix) KZ system is truncated due to the decoupling of the A^(1)_1 singular vector...
1992-07-10
2009-10-22
[ "hep-th" ]
A.Ch. Ganchev and V.B. Petkova
hep-th/9207033
On the Problem of the Uniformly Accelerated Oscillator
The particle detector model consisting of a harmonic oscillator coupled to a scalar field in $1+1$ dimensions is investigated in the inertial case. The same approach is then used in the accelerating case. The absence of radiation from a uniformly accelerated detector in a stationnary state is discussed and clarified.
1992-07-10
2009-10-22
[ "hep-th" ]
S. Massar, R. Parentani, R. Brout
hep-th/9207024
The N=2 open string
We show that the N=2 open string describes a theory of self-dual Yang Mills (SDYM) in (2,2) dimensions. The coupling to the closed sector is described by SDYM in a Kahler background, with the Yang-Mills fields providing a source term to the self-duality equation in the gravity sector. The four-point S-matrix elements o...
1992-07-09
2010-11-01
[ "hep-th" ]
Neil Marcus (U of Tel-Aviv)
hep-th/9207027
Supersymmetric Black Holes from Toda Theories
On the example of nonabelian Toda type theory associated with the Lie superalgebra $osp(2|4)$ we show that this integrable dynamical system is relevant to a black hole background metric in the corresponding target space. In the even sector the model under consideration reduces to the exactly solvable conformal theory (...
1992-07-09
2009-10-22
[ "hep-th" ]
Fran\c{c}ois Delduc, Jean-Loup Gervais, Mikhail Saveliev
hep-th/9207029
Conformal fields: a class of representations of Vect(N)
$Vect(N)$, the algebra of vector fields in $N$ dimensions, is studied. Some aspects of local differential geometry are formulated as $Vect(N)$ representation theory. There is a new class of modules, {\it conformal fields}, whose restrictions to the subalgebra $sl(N+1) \subset Vect(N)$ are finite-dimensional $sl(N+1)$ r...
1992-07-09
2015-06-26
[ "hep-th" ]
T. A. Larsson
hep-th/9207026
A quantum group version of quantum gauge theories in two dimensions
For the special case of the quantum group $SL_q (2,{\bf C})\ (q= \exp \pi i/r,\ r\ge 3)$ we present an alternative approach to quantum gauge theories in two dimensions. We exhibit the similarities to Witten's combinatorial approach which is based on ideas of Migdal. The main ingredient is the Turaev-Viro combinatorial ...
1992-07-09
2015-06-26
[ "hep-th" ]
M. Karowski, R. Schrader, FU-Berlin
hep-th/9207028
Vanishing of the Cosmological Constant in Stabilized Quantum Gravity
It is shown that the probability distribution $P(\lambda)$ for the effective cosmological constant is sharply peaked at $\lambda=0$ in stochastic (or "fifth-time") stabilized quantum gravity. The effect is similar to the Baum-Hawking mechanism, except that it comes about due to quantum fluctuations, rather than as a ze...
1992-07-09
2009-10-22
[ "hep-th" ]
J. Greensite
hep-th/9207030
Vect(N) conformal fields and their exterior derivatives
Conformal fields are a recently discovered class of representations of the algebra of vector fields in $N$ dimensions. Invariant first-order differential operators (exterior derivatives) for conformal fields are constructed.
1992-07-09
2007-05-23
[ "hep-th" ]
T. A. Larsson
hep-th/9207025
Singularity analysis in $A_n$ Affine Toda Theories
The leading and the subleading Landau singularities in affine Toda field theories are examined in some detail. Formulae describing the subleading simple pole structure of box diagrams are given explicitly. This leads to a new and nontrivial test of the conjectured exact S-matrices for these theories. We show that to th...
1992-07-09
2017-02-01
[ "hep-th" ]
H.W. Braden, H.S. Cho, J.D. Kim, I.G. Koh and R. Sasaki
hep-th/9207020
Higher Genus Correlators for the Complex Matrix Model
We describe an iterative scheme which allows us to calculate any multi-loop correlator for the complex matrix model to any genus using only the first in the chain of loop equations. The method works for a completely general potential and the results contain no explicit reference to the couplings. The genus $g$ contribu...
1992-07-08
2015-06-26
[ "hep-th" ]
J. Ambjorn, C.F. Kristjansen and Y.M. Makeenko
hep-th/9207023
On the Chiral Rings in N=2 and N=4 Superconformal Algebras
We study the chiral rings in N=2 and N=4 superconformal algebras. The chiral primary states of N=2 superconformal algebras realized over hermitian triple systems are given. Their coset spaces G/H are hermitian symmetric which can be compact or non-compact. In the non-compact case, under the requirement of unitarity of ...
1992-07-08
2014-11-18
[ "hep-th" ]
Murat Gunaydin
hep-th/9207019
W-Algebras, New Rational Models and Completeness of the c = 1 Classification
Two series of W-algebras with two generators are constructed from chiral vertex operators of a free field representation. If $c = 1 - 24k$, there exists a W(2,3k) algebra for k in $Z_{+}/2$ and a W(2,8k) algebra for k in $Z_{+}/4$. All possible lowest-weight representations, their characters and fusion rules are calcul...
1992-07-08
2009-10-22
[ "hep-th" ]
Michael Flohr
hep-th/9207022
Phase diagram and two-particle structure of the $Z_3$-chiral Potts model
We calculate the low-lying part of the spectrum of the $Z_3$-symmetrical chiral Potts quantum chain in its self-dual and integrable versions, using numerical diagonalisation of the hamiltonian for $N \leq 12$ sites and extrapolation $N \ra \infty$. From the sequences of levels crossing we show that the massive phases h...
1992-07-08
2007-05-23
[ "hep-th" ]
G. von Gehlen
hep-th/9207021
Polymers and Topological Field Theory: A 2 Loop Computation
Within the Quantum Action Principle framework we show the perturbative renormalizability of previously proposed topological lagrangian \`a la Witten-Fujikawa describing polymers, then we perform a 2 loop computation. The theory turns out to have the same predictive power of De Gennes theory, even though its running cou...
1992-07-08
2009-10-22
[ "hep-th" ]
Igor Pesando
hep-th/9207017
Bosonization and QCD in Two Dimensions
This review is devoted to the application of bosonization techniques to two dimensional QCD. We start with a description of the ``abelian bosonization". The methods of the abelian bosonization are applied to several examples like the Thirring model, the Schwinger model and QCD$_2$. The failure of this scheme to handle ...
1992-07-07
2010-11-01
[ "hep-th", "hep-ph" ]
Y. Frishman and J.Sonnenschein
hep-th/9207018
Quantum Conserved Currents in Supersymmetric Toda Theories
We consider $N=1$ supersymmetric Toda theories which admit a fermionic untwisted affine extension, i.e. the systems based on the $A(n,n)$, $D(n+1,n)$ and $B(n,n)$ superalgebras. We construct the superspace Miura trasformations which allow to determine the W-supercurrents of the conformal theories and we compute their r...
1992-07-07
2009-10-22
[ "hep-th" ]
Alessandro Gualzetti, Silvia Penati and Daniela Zanon
hep-th/9207015
The full set of $c_n$-invariant factorized $S$-matrices
We use the method of the tensor product graph to construct rational (Yangian invariant) solutions of the Yang-Baxter equation in fundamental representations of $c_n$ and thence the full set of $c_n$-invariant factorized $S$-matrices. Brief comments are made on their bootstrap structure and on Belavin's scalar Yangian c...
1992-07-06
2015-06-26
[ "hep-th" ]
N.J.MacKay
hep-th/9207016
Noncompact Symmetries in String Theory
Noncompact groups, similar to those that appeared in various supergravity theories in the 1970's, have been turning up in recent studies of string theory. First it was discovered that moduli spaces of toroidal compactification are given by noncompact groups modded out by their maximal compact subgroups and discrete dua...
1992-07-06
2010-11-01
[ "hep-th" ]
Jnan Maharana and John H. Schwarz
hep-th/9207014
A Note on ``Anomalous" Chiral Gauge Theories
We show that, the lattice regularization of chiral gauge theories proposed by Kaplan, when applied to a (2+1)-dimensional domain wall, produces a (1+1)-dimensional theory at low energy even if gauge anomaly produced by chiral fermions does not cancel. But the corresponding statement is not true in higher dimensions.
1992-07-05
2009-10-22
[ "hep-th", "hep-lat" ]
Zhu Yang
hep-th/9207010
Free Field Representations and Screening Operators for the $N=4$ Doubly Extended Superconformal Algebras
We present explicit free field representations for the $N=4$ doubly extended superconformal algebra, $\tilde{\cal{A}}_{\gamma}$. This algebra generalizes and contains all previous $N=4$ superconformal algebras. We have found $\tilde{\cal{A}}_{\gamma}$ to be obtained by hamiltonian reduction of the Lie superalgebra $D(2...
1992-07-03
2009-10-22
[ "hep-th" ]
Katsushi Ito, Jens Ole Madsen and Jens Lyng Petersen
hep-th/9207009
Free Field Representations of Extended Superconformal Algebras
We study the classical and quantum $G$ extended superconformal algebras from the hamiltonian reduction of affine Lie superalgebras, with even subalgebras $G\oplus sl(2)$. At the classical level we obtain generic formulas for the Poisson bracket structure of the algebra. At the quantum level we get free field (Feigin-Fu...
1992-07-03
2009-10-22
[ "hep-th" ]
Katsushi Ito, Jens Ole Madsen and Jens Lyng Petersen
hep-th/9207008
Infrared and Ultraviolet Finiteness of Topological BF Theory in Two Dimensions
The two--dimensional topological BF model is considered in the Landau gauge in the framework of perturbation theory. Due to the singular behaviour of the ghost propagator at long distances, a mass term to the ghost fields is introduced as infrared regulator. Relying on the supersymmetric algebraic structure of the resu...
1992-07-03
2010-04-06
[ "hep-th" ]
Alberto Blasi and Nicola Maggiore
hep-th/9207011
Non-relativistic Fermions, Coadjoint Orbits of \winf\ and String Field Theory at $c=1$
We apply the method of coadjoint orbits of \winf-algebra to the problem of non-relativistic fermions in one dimension. This leads to a geometric formulation of the quantum theory in terms of the quantum phase space distribution of the fermi fluid. The action has an infinite series expansion in the string coupling, whic...
1992-07-03
2011-04-20
[ "hep-th" ]
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
hep-th/9207012
Classical Hamiltonian Reduction and Superconformal Algebras
The Polyakov's "soldering procedure" which shows how two-dimensional diffeomorphisms can be obtained from SL(2,R) gauge transformations is discussed using the free-field representation of SL(2,R) current algebra. Using this formalism, the relation of Polyakov's method to that of the Hamiltonian reduction becomes transp...
1992-07-03
2009-10-22
[ "hep-th" ]
W. A. Sabra
hep-th/9207007
A New Solution of the Supersymmetric TJ Model by Means of the Quantum Inverse Scattering Method
We construct the enveloping fundamental spin model of the t-J hamiltonian using the Quantum Inverse Scattering Method (QISM), and present all three possible Algebraic Bethe Ans\"atze. Two of the solutions have been previously obtained in the framework of Coordinate Space Bethe Ansatz by Sutherland and by Schlottmann an...
1992-07-03
2007-05-23
[ "hep-th" ]
Fabian H.L. Essler and Vladimir E. Korepin
hep-th/9207013
On the two-boson picture of the KP hierarchy
A two-boson realization of the second hamiltonian structure for the KP hierarchy has recently appeared in the literature. Furthermore, it has been claimed that this is also a realization of the hierarchy itself. This is surprising because it would mean that the dynamics of the KP hierarchy---which in its usual formulat...
1992-07-03
2009-10-22
[ "hep-th" ]
J.M. Figueroa-O'Farrill, J. Mas, and E. Ramos
hep-th/9207006
Exactly Solvable Models of 2d Dilaton Quantum Gravity
We study canonical quantization of a class of 2d dilaton gravity models, which contains the model proposed by Callan, Giddings, Harvey and Strominger. A set of non-canonical phase space variables is found, forming an $SL(2,{\bf R}) \times U(1)$ current algebra, such that the constraints become quadratic in these new va...
1992-07-02
2009-01-16
[ "hep-th" ]
A. Mikovic
hep-th/9207005
Space-Time Symmetries of Quantized Tensionless Strings
The tensionless limit of the free bosonic string is space-time conformally symmetric classically. Requiring invariance of the quantum theory in the light cone gauge tests the reparametrization symmetry needed to fix this gauge. The full conformal symmetry gives stronger constraints than the Poincar\'e subalgebra. We fi...
1992-07-02
2016-08-14
[ "hep-th" ]
J. Isberg, U. Lindstr\"om and B. Sundborg
hep-th/9207004
d\leq1\bigcup d\geq25$ and Constrained KP Hierarchy from BRST Invariance in the $c\neq3$ Topological Algebra
The BRST invariance condition in a highest-weight representation of the topological ($\equiv$ twisted $N=2$) algebra captures the `invariant' content of two-dimensional gravity coupled to matter. The standard DDK formulation is recovered by splitting the topological generators into $c=-26$ reparametrization ghosts+matt...
1992-07-02
2011-04-20
[ "hep-th" ]
B. Gato-Rivera and A.M.Semikhatov
hep-th/9207003
Ground state wave functionals for $1+1$-dimensional fermion field theories
We use path-\-integral methods to derive the ground state wave functions of a number of two-\-dimensional fermion field theories and related systems in one-\-dimensional many body physics. We derive the exact wave function for the Thirring/Luttinger and Coset fermion models and apply our results to derive the universal...
1992-07-01
2010-11-01
[ "hep-th" ]
Eduardo Fradkin, Enrique Moreno and Fidel A.Schaposnik
hep-th/9206113
On the Lagrangian Realization of the WZNW Reductions
We develop a phase space path-integral approach for deriving the Lagrangian realization of the models defined by Hamiltonian reduction of the WZNW theory. We illustrate the uses of the approach by applying it to the models of non-Abelian chiral bosons, $W$-algebras and the GKO coset construction, and show that the well...
1992-07-01
2009-10-22
[ "hep-th" ]
I. Tsutsui and L. Feher
hep-th/9207002
Duality in Non-Trivially Compactified Heterotic Strings
We study the implications of duality symmetry on the analyticity properties of the partition function as it depends upon the compactification length. In order to obtain non-trivial compactifications, we give a physical prescription to get the Helmholtz free energy for any heterotic string supersymmetric or not. After p...
1992-07-01
2010-11-01
[ "hep-th" ]
M.A.R. Osorio and M.A. Vazquez-Mozo
hep-th/9206114
Sine-Gordon =/= Massive Thirring, and Related Heresies
By viewing the Sine-Gordon and massive Thirring models as perturbed conformal field theories one sees that they are different (the difference being observable, for instance, in finite-volume energy levels). The UV limit of the former (SGM) is a gaussian model, that of the latter (MTM) a so-called {\it fermionic} gaussi...
1992-07-01
2009-10-22
[ "hep-th" ]
Timothy R. Klassen and Ezer Melzer
hep-th/9207001
All Symmetries of Non-Einsteinian Gravity in $d =2$
The covariant form of the field equations for two--dimensional $R^2$--gravity with torsion as well as its Hamiltonian formulation are shown to suggest the choice of the light--cone gauge. Further a one--to--one correspondence between the Hamiltonian gauge symmetries and the diffeomorphisms and local Lorentz transformat...
1992-07-01
2009-10-22
[ "hep-th" ]
Thomas Strobl
hep-th/9206112
G_2^1 Affine Toda Field Theory: A Numerical Test of Exact S-Matrix results
We present the results of a Monte--Carlo simulation of the $G_2^{(1)}$ Affine Toda field theory action in two dimensions. We measured the ratio of the masses of the two fundamental particles as a function of the coupling constant. Our results strongly support the conjectured duality with the $D_4^{(3)}$ theory, and are...
1992-06-30
2009-10-22
[ "hep-th", "hep-lat" ]
G.Watts and R Weston
hep-th/9206111
Target Space Interpretation of New Moduli in 2D String Theory
We analyze the new states that have recently been discovered in 2D string theory by E. Witten and B. Zwiebach. Since the Liouville direction is uncompactified, we show that the deformations by the new ghost number two states generate equivalent classical solutions of the string fields. We argue that the new ghost numbe...
1992-06-30
2015-06-26
[ "hep-th" ]
Swapna Mahapatra, Sudipta Mukherji and Anirvan M. Sengupta
hep-th/9206110
Higher-Rank Supersymmetric Models and Topological Field Theory
In the first part of this paper we investigate the operator aspect of higher-rank supersymmetric model which is introduced as a Lie theoretic extension of the $N=2$ minimal model with the simplest case $su(2)$ corresponding to the $N=2$ minimal model. In particular we identify the analogs of chirality conditions and ...
1992-06-30
2009-10-22
[ "hep-th" ]
Toshiya Kawai, Taku Uchino and Sung-Kil Yang
hep-th/9206109
Maurer-Cartan forms and equations for two-dimensional superdiffeomorphisms
We present explicit expressions for the Maurer-Cartan forms of the superdiffeomorphism group associated to a super Riemann surface. As an application to superconformal field theory, we use these forms to evaluate the effective action for the factorized superdiffeomorphism anomaly.
1992-06-29
2009-10-22
[ "hep-th" ]
Francois Gieres
hep-th/9206106
General Solution of the Consistency Equation
We produce the general solution of the Wess-Zumino consistency condition for gauge theories of the Yang-mills type, for any ghost number and form degree. We resolve the problem of the cohomological independence of these solutions. In other words we fully describe the local version of the cohomology of the BRS operator,...
1992-06-29
2009-10-22
[ "hep-th" ]
M. Dubois-Violette, M. Henneaux, M. Talon, CM. Viallet
hep-th/9206108
Nonlinear Realisations of $w_{1+\infty}$
The nonlinear scalar-field realisation of $w_{1+\infty}$ symmetry in $d=2$ dimensions is studied in analogy to the nonlinear realisation of $d=4$ conformal symmetry $SO(4,2)$. The $w_{1+\infty}$ realisation is derived from a coset-space construction in which the divisor group is generated by the non-negative modes of t...
1992-06-29
2010-04-06
[ "hep-th" ]
E. Sezgin and K.S. Stelle
hep-th/9206107
String Theory, Black Holes, and SL(2,R) Current Algebra
We analyse in detail the $SL(2,R)$ black hole by extending standard techniques of Kac-Moody current algebra to the non-compact case. We construct the elements of the ground ring and exhibit W-infinity type structure in the fusion algebra of the discrete states. As a consequence, we can identify some of the exactly marg...
1992-06-29
2009-10-22
[ "hep-th" ]
Shyamoli Chaudhuri and Joseph D. Lykken
hep-th/9206102
Non-analyticity in the large N renormalization group
The flow of the action induced by changing $N$ is computed in large $N$ matrix models. It is shown that the change in the action is non-analytic. This non-analyticity appears at the origin of the space of matrices if the action is even.
1992-06-26
2009-10-22
[ "hep-th" ]
Vipul Periwal
hep-th/9206101
Self-Dual Supergravity Theories in 2+2 Dimensions
Starting from the new minimal multiplet of supergravity in $2+2$ dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of motion following from the Hilbert-Einstein type supergravity action. The other one i...
1992-06-26
2009-10-22
[ "hep-th" ]
E. Bergshoeff and E. Sezgin
hep-th/9206105
Generalized embedding variables for geometrodynamics and spacetime diffeomorphisms: Ultralocal coordinate conditions
We investigate the embedding variable approach to geometrodynamics advocated in work by Isham, Kucha\v{r} and Unruh for a general class of coordinate conditions that mirror the Isham-Kucha\v{r} Gaussian condition but allow for arbitrary algebraic complexity. We find that the same essential structure present in the ultr...
1992-06-26
2009-10-22
[ "hep-th", "gr-qc" ]
Stephen P. Braham
hep-th/9206103
The Sum over Topologies in Three-Dimensional Euclidean Quantum Gravity
In Hawking's Euclidean path integral approach to quantum gravity, the partition function is computed by summing contributions from all possible topologies. The behavior such a sum can be estimated in three spacetime dimensions in the limit of small cosmological constant. The sum over topologies diverges for either sign...
1992-06-26
2010-04-28
[ "hep-th" ]
Steven Carlip
hep-th/9206104
Topological Soliton Multiplets in 4+1 Dimensional YMCS Theory
We generalize our results${}^1$ on charged topological solitons (CTS) in $4+1$ dimensional $SU(3)$ Yang-Mills-Chern-Simons (YMCS) theory to $SU(N)$. The $SU(N)$ multiplet structure of two classes of solitons associated with the maximal embeddings $SU(2)\times U(1)^{N-2}\subset SU(N)$ and $SO(3)\times U(1)^{N-3}\subset ...
1992-06-26
2011-02-09
[ "hep-th" ]
C.S.Aulakh and V.Soni
hep-th/9206098
Covariant $W$ Gravity \& its Moduli Space from Gauge Theory
In this paper we study arbitrary $W$ algebras related to embeddings of $sl_2$ in a Lie algebra $g$. We give a simple formula for all $W$ transformations, which will enable us to construct the covariant action for general $W$ gravity. It turns out that this covariant action is nothing but a Fourier transform of the WZW ...
1992-06-25
2009-10-22
[ "hep-th" ]
Jan de Boer and Jacob Goeree
hep-th/9206100
Two Dimensional Quantum Gravity Coupled to Matter
A classical two dimensional theory of gravity which has a number of interesting features (including a Newtonian limit, black holes and gravitational collapse) is quantized using conformal field theoretic techniques. The critical dimension depends upon Newton's constant, permitting models with $d=4$. The constraint alge...
1992-06-25
2009-10-22
[ "hep-th" ]
R.B. Mann
hep-th/9206099
The D=1 Matrix Model and the Renormalization Group
We compute the critical exponents of $d = 1$ string theory to leading order, using the renormalization group approach recently suggested by Br\'{e}zin and Zinn-Justin.
1992-06-25
2009-10-22
[ "hep-th" ]
J. Alfaro and P.H. Damgaard
hep-th/9206097
The regularized BRST Jacobian of pure Yang-Mills theory
The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. Naively, the trace of $\Delta J$ vanishes, being proportional to the trace of the structure constants. ...
1992-06-25
2009-10-22
[ "hep-th" ]
F. De Jonghe, R. Siebelink, W. Troost, S. Vandoren, P. van Nieuwenhuizen and A. Van Proeyen
hep-th/9206085
A New Construction of the Penner Model
The free energy of the Penner model is shown to be closely related to the integral over the two diagonalizing unitary matrices of a complex rectangular matrix.
1992-06-24
2015-06-26
[ "hep-th" ]
M. Srednicki
hep-th/9206093
Gauge Theories for Gravity on a Line
Professor M. C. Polivanov and I met only a few times, during my infrequent visits to the-then Soviet Union in the 1970's and 1980's. His hospitality at the Moscow Steclov Institute made the trips a pleasure, while the scientific environment that he provided made them professionally valuable. But it is the human contact...
1992-06-24
2009-10-22
[ "hep-th" ]
Roman Jackiw
hep-th/9206091
Integrable Superhierarchy of Discretized 2d Supergravity
The hierarchical nonlinear super-differential equations are identified which describe universal behavior of the discretized model of $2d$ supergravity recently proposed. This is done by first taking a double scaling limit of the super Virasoro constraints ( at finite $N$) of the model and by rederiving it from the $\ti...
1992-06-24
2009-10-22
[ "hep-th" ]
H. Itoyama
hep-th/9206086
$N=\half$ Superstring in Zero Dimension and the Spontaneous Breakdown of the Supersymmetry
We propose random matrix models which have $N=\half$ supersymmetry in zero dimension. The supersymmetry breaks down spontaneously. It is shown that the double scaling limit can be defined in these models and the breakdown of the supersymmetry remains in the continuum limit. The exact non-trivial partition functions of ...
1992-06-24
2015-06-26
[ "hep-th" ]
Shin'ichi Nojiri
hep-th/9206088
Loops in the Curvature Matrix Model
Macroscopic loop correlators are investigated in the hermitian one matrix model with the potential perturbed by the higher order curvature term. In the phase of smooth surfaces the model is equivalent to the minimal conformal matter coupled to gravity. The properties of the model in the intermediate phase are similar t...
1992-06-24
2009-10-22
[ "hep-th" ]
G.P.Korchemsky
hep-th/9206094
Time Travel?
To travel into the past, to observe it, perhaps to influence it and correct mistakes of one's youth, has been an abiding fantasy of mankind for as long as we have been aware of a past. Here are described some recent scientific investigations on this topic.
1992-06-24
2010-11-01
[ "hep-th" ]
Stanley Deser and Roman Jackiw
hep-th/9206095
Induced QCD and Hidden Local ZN Symmetry
We show that a lattice model for induced lattice QCD which was recently proposed by Kazakov and Migdal has a $Z_N$ gauge symmetry which, in the strong coupling phase, results in a local confinement where only color singlets are allowed to propagate along links and all Wilson loops for non-singlets average to zero. We a...
1992-06-24
2009-10-22
[ "hep-th", "hep-lat" ]
Ian I Kogan, Gordon W Semenoff, Nathan Weiss
hep-th/9206092
Finite and Infinite Symmetries in (2+1)-Dimensional Field Theory
These days, Franco Iachello is {\it the\/} eminent practitioner applying classical and finite groups to physics. In this he is following a tradition at Yale, established by the late Feza Gursey, and succeeding Gursey in the Gibbs chair; Gursey in turn, had Pauli as a mentor. Iachello's striking achievement has been to ...
1992-06-24
2009-10-22
[ "hep-th" ]
Roman Jackiw and So-Young Pi
hep-th/9206096
On Two-Current Realization of KP Hierarchy
A simple description of the KP hierarchy and its multi-hamiltonian structure is given in terms of two Bose currents. A deformation scheme connecting various W-infinity algebras and relation between two fundamental nonlinear structures are discussed. Properties of Fa\'a di Bruno polynomials are extensively explored in t...
1992-06-24
2009-10-22
[ "hep-th" ]
H.Aratyn, L.A. Ferreira, J.F. Gomes, A.H. Zimerman
hep-th/9206090
Polynomial averages in the Kontsevich model
We obtain in closed form averages of polynomials, taken over hermitian matrices with the Gaussian measure involved in the Kontsevich integral, and prove a conjecture of Witten enabling one to express analogous averages with the full (cubic potential) measure, as derivatives of the partition function with respect to tra...
1992-06-24
2015-06-26
[ "hep-th", "math.QA" ]
P. Di Francesco, C. Itzykson, J.-B. Zuber
hep-th/9206087
Charged Dilatonic Black Hole and Hawking Radiation in Two Dimensions
We consider Callan, Giddings, Harvey and Strominger's (CGHS) two dimensional dilatonic gravity with electromagnetic interactions. This model can be also solved classically. Among the solutions describing static black holes, there exist extremal solutions which have zero temperatures. In the extremal solutions, the spac...
1992-06-24
2009-10-22
[ "hep-th" ]
Shin'ichi Nojiri and Ichiro Oda
hep-th/9206083
Fitting the Quark and Lepton Masses in String Theories
The capability of string theories to reproduce at low energy the observed pattern of quark and lepton masses and mixing angles is examined, focusing the attention on orbifold constructions, where the magnitude of Yukawa couplings depends on the values of the deformation parameters which describe the size and shape of t...
1992-06-23
2009-10-22
[ "hep-th" ]
J.A. Casas, F. G\'omez and C. Mu\~noz
hep-th/9206084
Closed String Field Theory: Quantum Action and the BV Master Equation
The complete quantum theory of covariant closed strings is constructed in detail. The action is defined by elementary vertices satisfying recursion relations that give rise to Jacobi-like identities for an infinite chain of string field products. The genus zero string field algebra is the homotopy Lie algebra $L_\infty...
1992-06-23
2010-11-01
[ "hep-th" ]
Barton Zwiebach
hep-th/9206089
Relating Weyl and diffeomorphism anomalies on super Riemann surfaces
Starting from the Wess-Zumino action associated to the super Weyl anomaly, we determine the local counterterm which allows to pass from this anomaly to the chirally split superdiffeomorphism anomaly (as defined on a compact super Riemann surface without boundary). The counterterm involves the graded extension of the Ve...
1992-06-23
2010-04-06
[ "hep-th" ]
Jean-Pierre Ader, Francois Gieres and Yves Noirot
hep-th/9206082
BRS Operators and Covariant Derivatives in Loop Space for P-Branes Coupled to Yang-Mills
Canonical forms are given for the nilpotent BRS operator $\d$ and the covariant `loop space' derivative ${\cal D}_{\m}$ for the p-brane fields for all odd p. The defining characteristic of ${\cal D}_{\m}$ is that it is a functional derivative operator which generalizes the ordinary functional derivative and also commut...
1992-06-22
2008-11-26
[ "hep-th" ]
J. A. Dixon
hep-th/9206081
Scaling Exponents in Quantum Gravity near Two Dimensions
We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of the oversubtraction due to the one loop counter term. The renormalization of the gravitational dressed operators is studied and their anomal...
1992-06-22
2009-10-22
[ "hep-th" ]
Hikaru Kawai, Yoshihisa Kitazawa and Masao Ninomiya
hep-th/9206080
Kleinian Singularities and the Ground Ring of C=1 String Theory
We investigate the nature of the ground ring of c=1 string theory at the special A-D-E points in the c=1 moduli space associated to discrete subgroups of SU(2). The chiral ground rings at these points are shown to define the A-D-E series of singular varieties introduced by Klein. The non-chiral ground rings relevant to...
1992-06-21
2009-10-22
[ "hep-th" ]
Debashis Ghoshal, Dileep P. Jatkar and Sunil Mukhi
hep-th/9206075
A2 Toda theory in reduced WZNW framework and the representations of the W algebra
Using the reduced WZNW formulation we analyse the classical $W$ orbit content of the space of classical solutions of the $A_2$ Toda theory. We define the quantized Toda field as a periodic primary field of the $W$ algebra satisfying the quantized equations of motion. We show that this local operator can be constructed ...
1992-06-19
2011-12-15
[ "hep-th" ]
Z. Bajnok, L.Palla, G. Takacs
hep-th/9206078
A Closed, Expanding Universe in String Theory
We present a conformal field theory -- obtained from a gauged WZW model -- that describes a closed, inhomogeneous expanding and recollapsing universe in $3+1$ dimensions. A possible violation of cosmic censorship is avoided because the universe recollapses just when a naked singularity was about to form. The model has ...
1992-06-19
2010-04-07
[ "hep-th" ]
Chiara R. Nappi and Edward Witten
hep-th/9206079
Stringy Cosmic Strings and Axion Cohomology
The static stationary axially symmetric background ("infinite cosmic string") of the $D=4$ string theory provided with an axion charge is studied in the effective theory approach. The most general exact solution is constructed. It is found that the Kalb-Ramond axion charge, present in the string topology $R^{3} \times ...
1992-06-19
2009-10-22
[ "hep-th" ]
Nemanja Kaloper
hep-th/9206074
Quantum Field Theory as a Problem of Resummation (Short guide to using summability methods)
Thesis includes review on the large order behaviour of perturbation theory in quantum mechanical and field theory models; generalization of the Borel summability and strong asymptotic conditions to various (including horn-shaped) regions; discussion of analytic aspects of perturbation theory; examples which demonstrate...
1992-06-19
2008-02-03
[ "hep-th", "cond-mat", "funct-an", "hep-lat", "hep-ph", "math.FA" ]
Alexander Moroz
hep-th/9206077
World-Sheet Duality, Space-Time Foam, and the Quantum Fate of a Stringy Black Hole
We interpret Minkowski black holes as world-sheet {\it spikes } which are related by world-sheet { \it duality} to {\it vortices } that correspond to Euclidean black holes. These world-sheet defects induce defects in the gauge fields of the corresponding coset Wess-Zumino descriptions of spherically-symmetric black hol...
1992-06-19
2009-09-11
[ "hep-th" ]
John Ellis, N.E. Mavromatos and D.V. Nanopoulos
hep-th/9206076
Self-Duality in 3+3 Dimensions and the KP Equation
We consider two types of generalized self-duality conditions for Yang-Mills fields on paracomplex manifolds of arbitrary dimension. We then specialize to $3+3$ dimensions and show how one can obtain the KP equation from these self-duality conditions on $SL(2,R)$ valued gauge fields.
1992-06-19
2009-10-22
[ "hep-th" ]
A. Das, E. Sezgin and Z. Khviengia
hep-th/9206071
Quantum Theory of Dilaton Gravity in 1+1 Dimensions
We discuss the quantum theory of 1+1 dimensional dilaton gravity, which is an interesting model with analogous features to the spherically symmetric gravitational systems in 3+1 dimensions. The functional measures over the metrics and the dilaton field are explicitly evaluated and the diffeomorphism invariance is compl...
1992-06-18
2011-07-19
[ "hep-th" ]
K. Hamada
hep-th/9206072
Wormholes and Supersymmetry
Revisions: reference added to: G. Gilbert, {\sl Nucl.Phys.} {\bf B328}, 159 (1989)
1992-06-18
2009-10-22
[ "hep-th" ]
J.R. Anglin and R.C. Myers
hep-th/9206073
Charged Vortex Dynamics in Ginzburg-Landau Theory of the Fractional Quantum Hall Effect
We write a Ginzburg-Landau Hamiltonian for a charged order parameter interacting with a background electromagnetic field in 2+1 dimensions. Using the method of Lund we derive a collective coordinate action for vortex defects in the order parameter and demonstrate that the vortices are charged. We examine the classical ...
1992-06-18
2015-06-26
[ "hep-th", "cond-mat" ]
Theodore J. Allen and Andrew J. Bordner
hep-th/9206069
Two Dimensional String Theory And Black Holes
This lecture surveys a few loosely related topics, ranging from the scarcity of quantum field theories -- and the role that this has played, and still plays, in physics -- to paradoxes involving black holes in soluble two dimensional string theory and the question of whether naked singularities might be of even greater...
1992-06-17
2007-05-23
[ "hep-th" ]
Edward Witten
hep-th/9206068
Uniqueness of the Axionic Kerr Black Hole
Under the axisymmetry and under the invarance of simultaneous inversion of time and azimuthal angle, we show that the axionic Kerr black hole is the ${\it unique}$ stationary solution of the minimal coupling theory of gravity and the Kalb-Ramond field, which has a regular event horizon, is asymptotically flat and has a...
1992-06-17
2007-05-23
[ "hep-th" ]
Rue-Ron Hsu, Green Huang and Wei-Fu Lin
hep-th/9206066
The Boundary Cosmological Constant in Stable 2D Quantum Gravity
We study further the r\^ole of the boundary operator $\O_B$ for macroscopic loop length in the stable definition of 2D quantum gravity provided by the $[{\tilde P},Q]=Q$ formulation. The KdV flows are supplemented by an additional flow with respect to the boundary cosmological constant $\sigma$. We numerically study th...
1992-06-17
2009-10-22
[ "hep-th" ]
Clifford V. Johnson, Tim R. Morris and Peter L. White
hep-th/9206070
The Endpoint of Hawking Evaporation
The formation and semi-classical evaporation of two-dimensional black holes is studied in an exactly solvable model. Above a certain threshold energy flux, collapsing matter forms a singularity inside an apparent horizon. As the black hole evaporates the apparent horizon recedes and meets the singularity in a finite pr...
1992-06-17
2009-10-07
[ "hep-th" ]
J. Russo, L. Susskind and L. Thorlacius
hep-th/9206067
String cosmology and dilaton
We discuss some aspects of string cosmology with an emphasis on the role played by the dilaton. A cosmological scenario based on the assumption that all spatial dimensions are periodic so that winding modes play an important role is reviewed. A possibility of a transition from a `string phase' to the `standard' cosmo...
1992-06-17
2007-05-23
[ "hep-th" ]
A.A. Tseytlin
hep-th/9206065
Thermal Field Theory and Infinite Statistics
We construct a quantum thermal field theory for scalar particles in the case of infinite statistics. The extension is provided by working out the Fock space realization of a "quantum algebra", and by identifying the hamiltonian as the energy operator. We examine the perturbative behavior of this theory and in particula...
1992-06-17
2010-11-01
[ "hep-th" ]
T. Altherr and T. Grandou
hep-th/9206064
What unitary matrix models are not?
We report results of two investigations of the double-scaling equations for the unitary matrix models. First, the fixed area partition functions have all positive coefficients only for the first four critical points. This implies that the critical points at $k\ge5$ describe non-unitary continuum theories. Secondly, we ...
1992-06-16
2013-11-13
[ "hep-th" ]
Rene Lafrance and Robert Myers
hep-th/9206062
Nonlinear Sigma Model for String Solitons
It is shown that a renormalizable nonlinear sigma model gives rise to the effective string theory proposed by Polchinski and Strominger. In the presence of long string background, the model contains massive world-sheet degrees of freedom owing to the spontaneous breaking of conformal invariance.
1992-06-16
2009-10-22
[ "hep-th" ]
M.Natsuume
hep-th/9206063
G/G Models and W_N strings
We derive the BRST cohomology of the G/G topological model for the case of A^{(1)}_{N-1} . It is shown that at level k={p/q}-N the latter describes the (p,q) W_N minimal model coupled to $W_N$ gravity (plus some extra ``topological sectors").
1992-06-16
2009-09-29
[ "hep-th" ]
O. Aharony, J. Sonnenschein and S. Yankielowicz
hep-th/9206061
Extended form method of antifield-BRST formalism for topological quantum field theories
We present a concise method to construct a BRST invariant action for the topological quantum field theories in the Batalin-Vilkovisky antifield formalism. The BV action that is a solution for the master equation is directly obtained by means of the extended forms that involve all the required ghosts and antifields. The...
1992-06-16
2010-04-06
[ "hep-th" ]
Hitoshi Ikemori
hep-th/9206060
Unitary Matrix Models and 2D Quantum Gravity (Virasoro constraints modified)
The KdV and modified KdV integrable hierarchies are shown to be different descriptions of the same 2D gravitational system -- open-closed string theory. Non-perturbative solutions of the multi-critical unitary matrix models map to non-singular solutions of the `renormalisation group' equation for the string susceptibil...
1992-06-15
2009-10-22
[ "hep-th" ]
S.Dalley, C.V.Johnson, T.R.Morris, A.Watterstam
hep-th/9206057
Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs
We present formulas for the Clebsch-Gordan coefficients and the Racah coefficients for the root of unity representations ($N$-dimensional representations with $q^{2N}=1$) of $U_q(sl(2))$. We discuss colored vertex models and colored IRF (Interaction Round a Face) models from the color representations of $U_q(sl(2))$. W...
1992-06-13
2009-10-22
[ "hep-th" ]
Tetsuo Deguchi and Yasuhiro Akutsu
hep-th/9206059
Hidden Kac-Moody symmetry and 2D Quantum Supergravity
We examine the relation between Polyakov's formulation of two dimensional supergravity and gauged Wess-Zumino-Novikov-Witten models.
1992-06-13
2014-11-18
[ "hep-th" ]
W.A. Sabra
hep-th/9206058
Ashtekar variables, self-dual metrics and w-infinity
The self-duality equations for the Riemann tensor are studied using the Ashtekar Hamiltonian formulation for general relativity. These equations may be written as dynamical equations for three divergence free vector fields on a three dimensional surface in the spacetime. A simplified form of these equations, describing...
1992-06-13
2010-04-06
[ "hep-th" ]
Viqar Husain
hep-th/9206056
Is Purity Eternal?
Phenomenological and formal restrictions on the evolution of pure into mixed states are discussed. In particular, it is argued that, if energy is conserved, loss of purity is incompatible with the weakest possible form of Lorentz covariance.
1992-06-12
2009-10-22
[ "hep-th", "gr-qc" ]
Mark Srednicki
hep-th/9206053
On Correlation Functions for Non-critical Strings with c<1 but d>1
We construct a Goulian-Li-type continuation in the number of insertions of the cosmological constant operator which is no longer restricted to one dimensional target space. The method is applied to the calculation of the three-point and a special four-point correlation function. Various aspects of the emerging analytic...
1992-06-12
2008-11-26
[ "hep-th" ]
H. Dorn and H.-J. Otto
hep-th/9206055
Classical and Quantum Production of Cornucopions At Energies Below $10^{18}$ GeV
We argue that the paradoxes associated with infinitely degenerate states, which plague relic particle scenarios for the endpoint of black hole evaporation, may be absent when the relics are horned particles. Most of our arguments are based on simple observations about the classical geometry of extremal dilaton black ho...
1992-06-12
2009-10-22
[ "hep-th", "hep-ph" ]
T. Banks and M. O'Loughlin
hep-th/9206054
On the amplitudes for non-critical n=2 supuerstrings
We compute correlation functions in $N=2$ non critical superstrings on the sphere. Our calculations are restrained to the ($s=0$) bulk amplitudes. We show that the four point function factorizes as a consequence of the non-critical kinematics, but differently from the $N=0,1$ cases no extra discrete state appears in th...
1992-06-12
2009-10-22
[ "hep-th" ]
E. Abdalla, M.C.B. Abdalla, D. Dalmazi