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hep-th/9206049
Explicit Solution to the N-Body Calogero Problem
We solve the N-body Calogero problem, \ie N particles in 1 dimension subject to a two-body interaction of the form $\half \sum_{i,j}[ (x_i - x_j)^2 + g/ {(x_i - x_j)^2}]$, by constructing annihilation and creation operators of the form $ a_i^\mp =\frac 1 {\sqrt 2} (x _i \pm i\hat{p}_i )$, where $\hat{p}_i$ is a modifie...
1992-06-11
2009-10-22
[ "hep-th" ]
L. Brink, T.H. Hansson and M.A. Vasiliev
hep-th/9206051
Gauged String Actions and O($\tilde{d}$, $\tilde{d}$) Transformation
An O($\tilde{d}$, $\tilde{d}$) transformation is given which relates ungauged string actions to the gauged ones for a large class of models discussed recently by Giveon and Rocek. Interestingly, the transformation is background independent and has a unique matrix representation in a given space-time dimension.
1992-06-11
2009-10-22
[ "hep-th" ]
Alok Kumar
hep-th/9206052
Staircase Models from Affine Toda Field Theory
We propose a class of purely elastic scattering theories generalising the staircase model of Al. B. Zamolodchikov, based on the affine Toda field theories for simply-laced Lie algebras g=A,D,E at suitable complex values of their coupling constants. Considering their Thermodynamic Bethe Ansatz equations, we give analyti...
1992-06-11
2015-06-26
[ "hep-th" ]
Patrick Dorey and Francesco Ravanini
hep-th/9206050
A New Approach to Lower Dimensional Gauge Theories
We apply the method of differential renormalization to two and three dimensional abelian gauge theories. The method is especially well suited for these theories as the problems of defining the antisymmetric tensor are avoided and the calculus involved is impressively simple. The topological and dynamical photon masses ...
1992-06-11
2009-10-22
[ "hep-th" ]
Ramon Munoz-Tapia
hep-th/9206048
Conformally Exact Results for SL(2,R)\times SO(1,1)^{d-2}/SO(1,1) Coset Models
Using the conformal invariance of the $SL(2,R)\otimes SO(1,1)^{d-2}/SO(1,1)$ coset models we calculate the conformally exact metric and dilaton, to all orders in the $1/k$ expansion. We consider both vector and axial gauging. We find that these cosets represent two different space--time geometries: ($2d$ black hole)$\o...
1992-06-10
2009-10-22
[ "hep-th" ]
Konstadinos Sfetsos
hep-th/9206042
Symmetries between Untwisted and Twisted Strings on Asymmetric Orbifolds
We study symmetries between untwisted and twisted strings on asymmetric orbifolds. We present a list of asymmetric orbifold models to possess intertwining currents which convert untwisted string states to twisted ones, and vice versa. We also present a list of heterotic strings on asymmetric orbifolds with supersymmetr...
1992-06-10
2009-10-22
[ "hep-th" ]
Y.Imamura, M.Sakamoto, T.Sasada and M.Tabuse
hep-th/9206041
S-matrices for Perturbed N=2 Superconformal Field Theory from quantum groups
S-matrices for integrable perturbations of $N=2$ superconformal field theories are studied. The models we consider correspond to perturbations of the coset theory $G_k \times H_{g-h} /H_{k+g-h} $. The perturbed models are closely related to $\hat G$-affine Toda theories with a background charge tuned to $H$. Using the ...
1992-06-10
2009-02-23
[ "hep-th" ]
A. LeClair, D. Nemeschansky and N.P. Warner
hep-th/9206044
Conservation Laws and 2D Black Holes in Dilaton Gravity
A very general class of Lagrangians which couple scalar fields to gravitation and matter in two spacetime dimensions is investigated. It is shown that a vector field exists along whose flow lines the stress-energy tensor is conserved, regardless of whether or not the equations of motion are satisfied or if any Killing ...
1992-06-10
2009-10-22
[ "hep-th" ]
R.B. Mann
hep-th/9206046
Integrable Systems for Particles with Internal Degrees of Freedom
We show that a class of models for particles with internal degrees of freedom are integrable. These systems are basically generalizations of the models of Calogero and Sutherland. The proofs of integrability are based on a recently developed exchange operator formalism. We calculate the wave-functions for the Calogero-...
1992-06-10
2009-10-22
[ "hep-th", "cond-mat" ]
Joseph A. Minahan and Alexios P. Polychronakos
hep-th/9206047
Addendum to ``Integrability of Open Spin Chains with Quantum Algebra Symmetry''
We show that the quantum-algebra-invariant open spin chains associated with the affine Lie algebras $A^{(1)}_n$ for $n>1$ are integrable. The argument, which applies to a large class of other quantum-algebra-invariant chains, does not require that the corresponding $R$ matrix have crossing symmetry.
1992-06-10
2015-06-26
[ "hep-th" ]
Luca Mezincescu and Rafael I. Nepomechie
hep-th/9206043
One-loop divergences in two-dimensional Maxwell-dilaton quantum gravity
Two-dimensional Maxwell-dilaton quantum gravity, which covers a large family of the actions for two-dimensional gravity (in particular, string-inspired models) is investigated. Charged black holes which appear in the theory are briefly discussed. The one-loop divergences in the linear covariant gauges are calculated. I...
1992-06-10
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9206045
Concerning the Double Scaling Limit in the $O(N)$ Vector Model in Four-Dimensions
The 1/N expansion for the O(N) vector model in four dimensions is reconsidered. It is emphasized that the effective potential for this model becomes everywhere complex just at the critical point, which signals an unstable vacuum. Thus a critical O(N) vector model cannot be consistently defined in the 1/N expansion for ...
1992-06-10
2015-06-26
[ "hep-th" ]
Howard J. Schnitzer
hep-th/9206037
Geometry and Integrability of Topological-Antitopological Fusion
Integrability of equations of topological-antitopological fusion (being proposed by Cecotti and Vafa) describing ground state metric on given 2D topological field theory (TFT) model, is proved. For massive TFT models these equations are reduced to a universal form (being independent on the given TFT model) by gauge tra...
1992-06-09
2009-10-22
[ "hep-th" ]
Boris Dubrovin
hep-th/9206035
Renormalization Group Approach to Matrix Models
Matrix models of 2D quantum gravity are either exactly solvable for matter of central charge $ c\leq 1, $ or not understood. It would be useful to devise an approximate scheme which would be reasonable for the known cases and could be carried to the unsolved cases in order to achieve at least a qualitative understandin...
1992-06-09
2009-10-22
[ "hep-th" ]
Edouard Br\'ezin and Jean Zinn-Justin
hep-th/9206038
A Comment on the Relationship Between Differential and Dimensional Renormalization
We show that there is a very simple relationship between differential and dimensional renormalization of low-order Feynman graphs in renormalizable massless quantum field theories. The beauty of the differential approach is that it achieves the same finite results as dimensional renormalization without the need to modi...
1992-06-09
2009-10-22
[ "hep-th" ]
Gerald Dunne and Nuria Rius
hep-th/9206040
Higher Dimensional Classical W-Algebras
Classical $W$-algebras in higher dimensions are constructed. This is achieved by generalizing the classical Gel'fand-Dickey brackets to the commutative limit of the ring of classical pseudodifferential operators in arbitrary dimension. These $W$-algebras are the Poisson structures associated with a higher dimensional v...
1992-06-09
2009-10-22
[ "hep-th" ]
Fernando Martinez-Moras and Eduardo Ramos
hep-th/9206039
Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
We study the nonrelativistic limit of the $N=2$ supersymmetric Chern-Simons matter system. We show that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an {\it extended Galilean supersymmetry }. The system also possesses a hidden confor...
1992-06-09
2015-06-26
[ "hep-th" ]
M. Leblanc, G. Lozano and H. Min
hep-th/9206034
Spectra in Conformal Field Theories from the Rogers Dilogarithm
We propose a system of functional relations having a universal form connected to the $U_q(X^{(1)}_r)$ Bethe ansatz equation. Based on the analysis of it, we conjecture a new sum formula for the Rogers dilogarithm function in terms of the scaling dimensions of the $X^{(1)}_r$ parafermion conformal field theory.
1992-06-09
2015-06-26
[ "hep-th" ]
Atsuo Kuniba and Tomoki Nakanishi
hep-th/9206036
Polyhedral Cosmic Strings
Quantum field theory is discussed in M\"obius corner kaleidoscopes using the method of images. The vacuum average of the stress-energy tensor of a free field is derived and is shown to be a simple sum of straight cosmic string expressions, the strings running along the edges of the corners. It does not seem possible to...
1992-06-09
2009-10-22
[ "hep-th" ]
J.S.Dowker and Peter Chang
hep-th/9206033
Cohomological Partition Functions for a Class of Bosonic Theories
We argue, that for a general class of nontrivial bosonic theories the path integral can be related to an equivariant generalization of conventional characteristic classes.
1992-06-08
2009-10-22
[ "hep-th" ]
Antti J. Niemi and O. Tirkkonen
hep-th/9206031
Singular Contractions of W-algebras
Many $W$-algebras (e.g. the $W_N$ algebras) are consistent for all values of the central charge except for a discrete set of exceptional values. We show that such algebras can be contracted to new consistent degenerate algebras at these exceptional values of the central charge.
1992-06-08
2015-06-26
[ "hep-th" ]
C. M. Hull and L. Palacios
hep-th/9206032
su(3)k fusion coefficients
A closed and explicit formula for all $\su{(3)}_k$ fusion coefficients is presented which, in the limit $k \rightarrow \infty$, turns into a simple and compact expression for the $su(3)$ tensor product coefficients. The derivation is based on a new diagrammatic method which gives directly both tensor product and fusion...
1992-06-08
2015-06-26
[ "hep-th" ]
L. Begin, P. Mathieu and M.A. Walton
hep-th/9206030
W algebra, twistor, and nonlinear integrable systems
Small errors are corrected
1992-06-06
2008-02-03
[ "hep-th" ]
Kanehisa Takasaki
hep-th/9206026
Spacetime Scale-Invariance and the Super p-Brane
We generalize to p-dimensional extended objects and type II superstrings a recently proposed Green-Schwarz type I superstring action in which the tension $T$ emerges as an integration constant of the equations of motion. The action is spacetime scale-invariant but its equations of motion are equivalent to those of the ...
1992-06-05
2010-04-06
[ "hep-th" ]
E. Bergshoeff, L.A.J London and P.K. Townsend
hep-th/9206025
A finite model of two-dimensional ideal hydrodynamics
A finite-dimensional su($N$) Lie algebra equation is discussed that in the infinite $N$ limit (giving the area preserving diffeomorphism group) tends to the two-dimensional, inviscid vorticity equation on the torus. The equation is numerically integrated, for various values of $N$, and the time evolution of an (interpo...
1992-06-05
2009-10-22
[ "hep-th" ]
J.S.Dowker and A.Wolski
hep-th/9206028
A Cutoff Procedure and Counterterms for Differential Renormalization
Explicit divergences and counterterms do not appear in the differential renormalization method, but they are concealed in the neglected surface terms in the formal partial integration procedure used. A systematic real space cutoff procedure for massless $\phi^4$ theory is therefore studied in order to test the method a...
1992-06-05
2009-10-08
[ "hep-th" ]
D.Z.Freedman, K.Johnson, R.Munoz-Tapia, X.Vilasis-Cardona
hep-th/9206029
Differential Geometry on Linear Quantum Groups
An exterior derivative, inner derivation, and Lie derivative are introduced on the quantum group $GL_{q}(N)$. $SL_{q}(N)$ is then found by constructing matrices with determinant unity, and the induced calculus is found.
1992-06-05
2009-10-22
[ "hep-th", "math.QA" ]
Peter Schupp, Paul Watts, and Bruno Zumino
hep-th/9206027
Infinite Symmetry in the Quantum Hall Effect
Free planar electrons in a uniform magnetic field are shown to possess the symmetry of area-preserving diffeomorphisms ($W$-infinity algebra). Intuitively, this is a consequence of gauge invariance, which forces dynamics to depend only on the flux. The infinity of generators of this symmetry act within each Landau leve...
1992-06-05
2009-10-22
[ "hep-th", "cond-mat" ]
A. Cappelli, C. A. Trugenberger and G. R. Zemba
hep-th/9206020
Black Hole Physics from Liouville Theory
In a previous paper it was shown that the quantum consistency conditions for the dilaton-gravity theory of Callan et al., imply that the cosmological constant term undergoes a dilaton dependent renormalization, in such a manner that the theory can be written as a Liouville-like theory. In this paper we discuss the phys...
1992-06-04
2009-10-22
[ "hep-th" ]
S. P. de Alwis
hep-th/9206022
Gravitation \& Cosmology in $(1+1)$-dimensional Dilaton Gravity
The properties of a string-inspired two-dimensional theory of gravity are studied. The post-Newtonian and weak-field approximations, `stellar' structure and cosmological solutions of this theory are developed. Some qualitative similarities to general relativity are found, but there are important differences.
1992-06-04
2009-10-22
[ "hep-th" ]
R.B. Mann and S.F. Ross
hep-th/9206019
Transmutation of Pure 2-D Supergravity Into Topological 2-D Gravity and Other Conformal Theories
We consider the BRST and superconformal properties of the ghost action of 2-D supergravity. Using the background spin structure on the worldsheet, we show that this action can be transformed by canonical field transformations to reach other conformal models such as the 2-D topological gravity or the chiral models for w...
1992-06-04
2009-10-22
[ "hep-th" ]
Laurent Baulieu
hep-th/9206018
Dilaton-Axion hair for slowly rotating Kerr black holes
Campbell et al. demonstrated the existence of axion ``hair'' for Kerr black holes due to the non-trivial Lorentz Chern-Simons term and calculated it explicitly for the case of slow rotation. Here we consider the dilaton coupling to the axion field strength, consistent with low energy string theory and calculate the dil...
1992-06-04
2009-10-22
[ "hep-th" ]
S. Mignemi and N. R. Stewart
hep-th/9206021
Classical Chern-Simons theory, Part 1
There is a large mathematical literature on classical mechanics and field theory, especially on the relationship to symplectic geometry. One might think that the classical Chern-Simons theory, which is topological and so has vanishing hamiltonian, is completely trivial. However, this theory exhibits interesting geometr...
1992-06-04
2008-02-03
[ "hep-th", "math.QA" ]
Daniel S. Freed
hep-th/9206023
On String Field Theory and Effective Actions
A truncation of string field theory is compared with the duality invariant effective action of $D=4, N=4$ heterotic strings to cubic order. The three string vertex must satisfy a set of compatibility conditions. Any cyclic three string vertex is compatible with the $D=4, N=4$ effective field theory. The effective actio...
1992-06-04
2009-10-22
[ "hep-th" ]
Amit Giveon
hep-th/9206024
The 2-Dimensional Quantum Euclidean Algebra
The algebra dual to Woronowicz's deformation of the 2-\-di\-men\-sion\-al Euclidean group is constructed. The same algebra is obtained from $SU_{q}(2)$ via contraction on both the group and algebra levels.
1992-06-04
2009-10-22
[ "hep-th" ]
Peter Schupp, Paul Watts, and Bruno Zumino
hep-th/9206013
Quantum and super-quantum group related to the Alexander-Conway polynomial
We describe the quasitriangular structure (universal $R$-matrix) on the non-standard quantum group $U_q(H_1,H_2,X^\pm)$ associated to the Alexander-Conway matrix solution of the Yang-Baxter equation. We show that this Hopf algebra is connected with the super-Hopf algebra $U_qgl(1|1)$ by a general process of superizatio...
1992-06-03
2009-10-22
[ "hep-th" ]
Shahn Majid and M.J Rodriguez-Plaza
hep-th/9206016
Macroscopic Charged Heterotic String
Classical solutions of equations of motion in low energy effective field theory, describing fundamental charged heterotic string, are found. These solutions automatically carry an electric current equal to the charge per unit length, and hence are accompanied by both, electric and magnetic fields. Force between two par...
1992-06-03
2009-09-15
[ "hep-th" ]
Ashoke Sen
hep-th/9206015
Induced QCD at Large N
We propose and study at large N a new lattice gauge model , in which the Yang-Mills interaction is induced by the heavy scalar field in adjoint representation. At any dimension of space and any $ N $ the gauge fields can be integrated out yielding an effective field theory for the gauge invariant scalar field, correspo...
1992-06-03
2009-10-22
[ "hep-th" ]
V.A. Kazakov and A.A. Migdal
hep-th/9206014
Discrete States of 2D String Theory in Polyakov's Light-Cone Gauge
We find the discrete states of the c=1 string in the light-cone gauge of Polyakov. When the state space of the gravitational sector of the theory is taken to be the irreducible representations of the SL(2,R) current algebra, the cohomology of the theory is NOT the same as that in the conformal gauge. In particular, sta...
1992-06-03
2009-09-29
[ "hep-th" ]
Neil Marcus and Yaron Oz
hep-th/9206012
Discrete States in Two-Dimensional Quantum Gravity
Minor misprints corrected.
1992-06-03
2008-02-03
[ "hep-th" ]
Nobuyoshi Ohta
hep-th/9206017
Symmetries of String Effective Action and Space-Time Geometry
Two dimensional charged black hole solution is obtained by implementing an $O(2,2)$ transformation on the three dimensional black string solution. Two different monopole backgrounds in five dimensions are related through an $O(2,2)$ transformation. It has been shown in these examples that the particular $O(2,2)$ transf...
1992-06-02
2007-05-23
[ "hep-th" ]
S. Pratik Khastgir and Jnanadeva Maharana
hep-th/9206010
Index Theorems and Loop Space Geometry
We investigate the evaluation of the Dirac index using symplectic geometry in the loop space of the corresponding supersymmetric quantum mechanical model. In particular, we find that if we impose a simple first class constraint, we can evaluate the Callias index of an odd dimensional Dirac operator directly from the qu...
1992-06-02
2009-10-22
[ "hep-th" ]
A. Hietamaki and A.J. Niemi
hep-th/9206009
Quantum Liouville Theory On The Riemann Sphere With $n>3$ Punctures
We have studied the quantum Liouville theory on the Riemann sphere with n>3 punctures. While considering the theory on the Riemann surfaces with n=4 punctures, the quantum theory near an arbitrary but fixed puncture can be obtained via canonical quantization and an extra symmetry is explored. While considering more tha...
1992-06-02
2009-10-22
[ "hep-th" ]
Jin-Min Shen, Zheng-Mao Sheng, Zhong-Hau Wang
hep-th/9206008
Modular Invariants of $N=2$ Supersymmetric $SU(1,1)$ Models
We study the modular invariance of $N=2$ superconformal $SU(1,1)$ models. By decomposing the characters of Kazama-Suzuki model $SU(3)/(SU(2)\times U(1))$ into an infinite sum of the characters of $(SU(1,1)/U(1))\times U(1)$ we construct modular invariant partition functions of $(SU(1,1)/U(1))\times U(1)$.
1992-06-02
2009-10-22
[ "hep-th" ]
Katri Huitu
hep-th/9206007
Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
We study quantum Chern-Simons theory as the large mass limit of the limit $D\to 3$ of dimensionally regularized topologically massive Yang-Mills theory. This approach can also be interpreted as a BRS-invariant hybrid regularization of Chern-Simons theory, consisting of a higher-covariant derivative Yang-Mills term plus...
1992-06-02
2014-11-18
[ "hep-th" ]
G. Giavarini, C.P. Martin, F. Ruiz Ruiz
hep-th/9206006
Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
Using a Hamiltonian approach to gauged WZW models, we present a general method for computing the conformally exact metric and dilaton, to all orders in the $1/k$ expansion, for any bosonic, heterotic, or type-II superstring model based on a coset $G/H$. We prove the following relations: (i) For type-II superstrings the...
1992-06-02
2013-11-13
[ "hep-th" ]
I. Bars and K. Sfetsos
hep-th/9206011
Zamolodchikov's c-function for the Chiral Gross-Neveu Model
We construct the Zamolodchikov's c-function for the Chiral Gross-Neveu Model up to two loops. We show that the c-function interpolates between the two known critical points of the theory, it is stationary at them and it decreases with the running coupling constant. In particular one can infer the non-existence of addit...
1992-06-02
2009-10-22
[ "hep-th" ]
Daniel C. Cabra
hep-th/9206002
Affine Solitons: A Relation Between Tau Functions, Dressing and B\"acklund Transformations
We reconsider the construction of solitons by dressing transformations in the sine-Gordon model. We show that the $N$-soliton solutions are in the orbit of the vacuum, and we identify the elements in the dressing group which allow us to built the $N$-soliton solutions from the vacuum solution. The dressed $\tau$-functi...
1992-06-01
2008-11-26
[ "hep-th" ]
Olivier Babelon, Denis Bernard
hep-th/9206005
Vacuum Expectation Values of Products of Chiral Currents in $3+1$ Dimensions
An algebraic rule is presented for computing expectation values of products of local nonabelian charge operators for fermions coupled to an external vector potential in $3+1$ space-time dimensions. The vacuum expectation value of a product of four operators is closely related to a cyclic cocycle in noncommutative geome...
1992-06-01
2009-10-22
[ "hep-th" ]
Jouko Mickelsson
hep-th/9206001
q--Magnetism at roots of unity
We study the thermodynamic properties of a family of integrable 1D spin chain hamiltonians associated with quantum groups at roots of unity. These hamiltonians depend for each primitive root of unit on a parameter $s$ which plays the role of a continuous spin. The model exhibits ferrimagnetism even though the interacti...
1992-06-01
2019-06-05
[ "hep-th" ]
A. Berkovich, G. Sierra and C. Gomez
hep-th/9206003
From Form Factors to Correlation Functions: The Ising Model
Using exact expressions for the Ising form factors, we give a new very simple proof that the spin-spin and disorder-disorder correlation functions are governed by the Painlev\'e III non linear differential equation. We also show that the generating function of the correlation functions of the descendents of the spin an...
1992-06-01
2008-11-26
[ "hep-th" ]
Olivier Babelon, Denis Bernard
hep-th/9206004
Nonperturbative Stability of Supergravity and Superstring Vacua
We investigate the possibility of false vacuum decay in $N=1$ supergravity theories. By establishing a Bogomol'nyi bound for the energy density stored in the domain wall of the $O(4)$ invariant bubble, we show that supersymmetric vacua remain absolutely stable against false vacuum decay into another supersymmetric vacu...
1992-06-01
2009-09-17
[ "hep-th" ]
Mirjam Cvetic, Stephen Griffies, and Soo-Jong Rey
hep-th/9205116
The Edge States of the BF System and the London Equations
It is known that the 3d Chern-Simons interaction describes the scaling limit of a quantum Hall system and predicts edge currents in a sample with boundary, the currents generating a chiral $U(1)$ Kac-Moody algebra. It is no doubt also recognized that in a somewhat similar way, the 4d $BF$ interaction (with $B$ a two fo...
1992-05-30
2015-06-26
[ "hep-th" ]
A.P. Balachandran and P. Teotonio-Sobrinho
hep-th/9205117
An Infinite Number of Commuting Quantum $\hat{W}_{\infty}$ Charges in the $SL(2,R)/U(1)$ Coset Model
The conformal non-compact $SL(2,R)/U(1)$ coset model in two dimensions has been recently shown to embody a nonlinear $\hat{W}_\infty$ current algebra, consisting of currents of spin $\geq 2$ including the energy-momentum tensor. In this letter we explicitly construct an infinite set of commuting quantum $\hat{W}_\infty...
1992-05-30
2015-06-26
[ "hep-th" ]
Feng Yu and Yong-Shi Wu
hep-th/9205115
Self-Dual Chern-Simons Higgs Systems with an N=3 Extended Supersymmetry
We construct and study an N=3 supersymmetric Chern-Simons Higgs theory. This theory is the maximally supersymmetric one containing the self-dual models with a single gauge field and no gravity.
1992-05-30
2009-10-22
[ "hep-th" ]
Hsien-Chung Kao and Kimyeong Lee
hep-th/9205114
Information Loss and Anomalous Scattering
The approach of 't Hooft to the puzzles of black hole evaporation can be applied to a simpler system with analogous features. The system is $1+1$ dimensional electrodynamics in a linear dilaton background. Analogues of black holes, Hawking radiation and evaporation exist in this system. In perturbation theory there app...
1992-05-30
2009-10-07
[ "hep-th" ]
Amanda Peet, Leonard Susskind and Larus Thorlacius
hep-th/9205109
On Integrable Quantum Group Invariant Antiferromagnets
A new open spin chain hamiltonian is introduced. It is both integrable (Sklyanin`s type $K$ matrices are used to achieve this) and invariant under ${\cal U}_{\epsilon}(sl(2))$ transformations in nilpotent irreps for $\epsilon^3=1$. Some considerations on the centralizer of nilpotent representations and its representati...
1992-05-29
2009-10-22
[ "hep-th", "cond-mat" ]
R. Cuerno, G. Sierra and C. Gomez
hep-th/9205113
Low-Lying States of the Six-Dimensional Fractional Superstring
The $K=4$ fractional superstring Fock space is constructed in terms of $\bZ_4$ parafermions and free bosons. The bosonization of the $\bZ_4$ parafermion theory and the generalized commutation relations satisfied by the modes of various parafermion fields are reviewed. In this preliminary analysis, we describe a Fock sp...
1992-05-29
2010-11-01
[ "hep-th" ]
P.C. Argyres, E. Lyman, and S.-H.H. Tye
hep-th/9205108
Exact Solutions in Bosonic and Heterotic String Theory
We review some exact solitonic solutions of string theory with higher-membrane structure. These include an axionic instanton solution of bosonic string theory as well as multi-instanton and multimonopole solutions of heterotic string theory. The heterotic solutions reveal some interesting aspects of string theory as a ...
1992-05-29
2007-05-23
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9205110
The $\tau$-function of the universal Whitham hierarchy, matrix models and topological field theories
The universal Witham hierarchy is considered from the point of view of topological field theories. The $\tau$-function for this hierarchy is defined. It is proved that the algebraic orbits of Whitham hierarchy can be identified with various topological matter models coupled with topological gravity.
1992-05-29
2008-11-26
[ "hep-th" ]
I.M.Krichever
hep-th/9205111
Extended form method of antifield-BRST formalism for BF theories
The Batalin-Vilkovisky antifield action for the BF theories is constructed by means of the extended form method. The BRST invariant BV antifield action is directly written down by making use of the extended forms that involve all the required ghosts and antifields.
1992-05-29
2015-06-26
[ "hep-th" ]
Hitoshi Ikemori
hep-th/9205112
The Global Problem of Time
Time does not obviously appear amongst the coordinates on the constrained phase space of general relativity in the Hamiltonian formulation. Recent work in finite-dimensional models claims that topological obstructions generically make the global definition of time impossible. It is shown here that a time coordinate can...
1992-05-29
2007-05-23
[ "hep-th" ]
Arlen Anderson
hep-th/9205102
Light Cone $W_n$ Geometry and its Symmetries and Projective Field Theory
I show that the generalized Beltrami differentials and projective connections which appear naturally in induced light cone $W_n$ gravity are geometrical fields parametrizing in one-to-one fashion generalized projective structures on a fixed base Riemann surface. I also show that $W_n$ symmetries are nothing but gauge t...
1992-05-28
2010-04-06
[ "hep-th" ]
Roberto Zucchini
hep-th/9205105
The KdV Action and Deformed Minimal Models
An action is constructed that gives an arbitrary equation in the KdV or MKdV hierarchies as equation of motion; the second Hamiltonian structure of the KdV equation and the Hamiltonian structure of the MKdV equation appear as Poisson bracket structures derived from this action. Quantization of this theory can be carrie...
1992-05-28
2008-02-03
[ "hep-th" ]
Jeremy Schiff
hep-th/9205104
Universal Bundle, Generalized Russian Formula and Non-Abelian Anomaly in Topological Yang-Mills Theory
We re-examine the geometry and algebraic structure of BRST's of Topological Yang-Mills theory based on the universal bundle formalism of Atiyah and Singer. This enables us to find a natural generalization of the {\it Russian formula and descent equations\/}, which can be used as algebraic method to find the non-Abelian...
1992-05-28
2008-02-03
[ "hep-th" ]
Jae-Suk Park
hep-th/9205107
The Origin of Space-Time as $W$ Symmetry Breaking in String Theory
Physics in the neighbourhood of a space-time metric singularity is described by a world-sheet topological gauge field theory which can be represented as a twisted $N=2$ superconformal Wess-Zumino model with a $W_{1+\infty} \otimes W_{1+\infty} $ bosonic symmetry. The measurable $W$-hair associated with the singularity ...
1992-05-28
2009-09-11
[ "hep-th" ]
John Ellis, N.E. Mavromatos and D.V. Nanopoulos
hep-th/9205103
Gauge theories of quantum groups
We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the bicovariant q-deformation of $SU(2) \times U(1)$. The gauge potentials satisfy q...
1992-05-28
2009-10-22
[ "hep-th" ]
Leonardo Castellani
hep-th/9205101
Interactions of Discrete States with Nonzero Ghost Number \\ in $c=1$ $2D$ Gravity
We study the interactions of the discrete states with nonzero ghost number in $c=1$ two-dimensional ($2D$) quantum gravity. By using the vertex operator representations, it is shown that their interactions are given by the structure constants of the group of the area preserving diffeomorphism similar to those of vanish...
1992-05-28
2015-06-26
[ "hep-th" ]
Nobuyoshi Ohta and Hisao Suzuki
hep-th/9205096
Thermal history of the string universe
Thermal history of the string universe based on the Brandenberger and Vafa's scenario is examined. The analysis thereby provides a theoretical foundation of the string universe scenario. Especially the picture of the initial oscillating phase is shown to be natural from the thermodynamical point of view. A new tool is ...
1992-05-27
2009-10-22
[ "hep-th" ]
H. Cateau & K. Sumiyoshi
hep-th/9205089
Liouville Models of Black Hole Evaporation
We construct new theories of dilation gravity coupled to conformal matter which are exact $c=26$ conformal field theories and presumably consistent frameworks for discussing black hole physics in two dimensions. They differ from the CGHS equations in the precise dilaton dependence of the cosmological constant. A furthe...
1992-05-27
2009-10-22
[ "hep-th" ]
Adel Bilal and Curtis Callan
hep-th/9205097
The One-Loop Five-Graviton Scattering Amplitude and Its Low-Energy Limit
A covariant path integral calculation of the even spin structure contribution to the one-loop N-graviton scattering amplitude in the type-II superstring theory is presented. The apparent divergence of the $N=5$ amplitude is resolved by separating it into twelve independent terms corresponding to different orders of ins...
1992-05-27
2015-06-26
[ "hep-th" ]
J. Lee Montag
hep-th/9205098
Matching Conditions and Gravitational Collapse in Two-Dimensional Gravity
The general theory of matching conditions is developed for gravitational theories in two spacetime dimensions. Models inspired from general relativity and from string theory are considered. These conditions are used to study collapsing dust solutions in spacetimes with non-zero cosmological constant, demonstrating how ...
1992-05-27
2010-04-06
[ "hep-th" ]
R.B. Mann and S.F. Ross
hep-th/9205100
A note on the 3D Ising model as a string theory
It has long been argued that the continuum limit of the 3D Ising model is equivalent to a string theory. Unfortunately, in the usual starting point for this equivalence -- a certain lattice theory of surfaces -- it is not at all obvious how to take the continuum limit. In this note, I reformulate the lattice theory of ...
1992-05-27
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
J. Distler
hep-th/9205099
Chern-Simons Forms, Mickelsson-Faddeev Algebras and the P-Branes
In string theory, nilpotence of the BRS operator $\d$ for the string functional relates the Chern-Simons term in the gauge-invariant antisymmetric tensor field strength to the central term in the Kac-Moody algebra. We generalize these ideas to p-branes with odd p and find that the Kac-Moody algebra for the string becom...
1992-05-27
2008-11-26
[ "hep-th" ]
J. A. Dixon and M. J. Duff
hep-th/9205095
About some exact solutions for 2+1 gravity coupled to gauge fields
Some exact static solutions for Einstein gravity in 2+1 dimensions coupled to abelian gauge field are discussed. Some of these solutions are three-dimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and outside the horison are connected by the changing of the Planck mass sign.
1992-05-26
2009-10-22
[ "hep-th" ]
Ian I. Kogan
hep-th/9205090
Topological Lattice Models in Four Dimensions
We define a lattice statistical model on a triangulated manifold in four dimensions associated to a group $G$. When $G=SU(2)$, the statistical weight is constructed from the $15j$-symbol as well as the $6j$-symbol for recombination of angular momenta, and the model may be regarded as the four-dimensional version of the...
1992-05-26
2009-09-17
[ "hep-th", "hep-lat" ]
Hirosi Ooguri
hep-th/9205093
Induced (N,0) supergravity as a constrained Osp(N,2) WZWN model and its effective action
A chiral $(N,0) $ supergravity theory in d=2 dimensions for any $N$ and its induced action can be obtained by constraining the currents of an Osp(N$|$2) WZWN model. The underlying symmetry algebras are the nonlinear SO(N) superconformal algebras of Knizhnik and Bershadsky. The case $N=3$ is worked out in detail. We sho...
1992-05-26
2009-10-22
[ "hep-th" ]
G.W. Delius, M.T. Grisaru and P. van Nieuwenhuizen
hep-th/9205092
Gauge Invariance for Generally Covariant Systems
Previous analyses on the gauge invariance of the action for a generally covariant system are generalized. It is shown that if the action principle is properly improved, there is as much gauge freedom at the endpoints for an arbitrary gauge system as there is for a system with ``internal'' gauge symmetries. The key poin...
1992-05-26
2009-10-22
[ "hep-th" ]
Marc Henneaux, Claudio Teitelboim, J. David Vergara
hep-th/9205087
Differential Calculus on the Quantum Superspace and Deformation of Phase Space
We investigate non-commutative differential calculus on the supersymmetric version of quantum space where the non-commuting super-coordinates consist of bosonic as well as fermionic (Grassmann) coordinates. Multi-parametric quantum deformation of the general linear supergroup, $GL_q(m|n)$, is studied and the explicit f...
1992-05-26
2009-10-22
[ "hep-th" ]
Tatsuo Kobayashi and Tsuneo Uematsu
hep-th/9205088
Geometry of Batalin-Vilkovisky quantization
The present paper is devoted to the study of geometry of Batalin-Vilkovisky quantization procedure. The main mathematical objects under consideration are P-manifolds and SP-manifolds (supermanifolds provided with an odd symplectic structure and, in the case of SP-manifolds, with a volume element). The Batalin-Vilkovisk...
1992-05-26
2009-10-22
[ "hep-th" ]
Albert Schwarz
hep-th/9205094
Running Gauge Couplings and Thresholds in the Type II Superstring
A distinctive feature of string unification is the possibility of unification by a non-simply-laced group. This occurs most naturally in four dimensional type~II string models where the gauge symmetry is realized by Kac-Moody algebras at different levels. We investigate the running coupling constants and the one-loop t...
1992-05-26
2010-11-15
[ "hep-th" ]
L. Dolan and James T. Liu
hep-th/9205106
Matrix Model for Discretized Moduli Space
We study the algebraic geometrical background of the Penner--Kontsevich matrix model with the potential $N\alpha \tr {\bigl(- \fr 12 \L X\L X +\log (1-X)+X\bigr)}$. We show that this model describes intersection indices of linear bundles on the discretized moduli space right in the same fashion as the Kontsevich model ...
1992-05-26
2009-10-22
[ "hep-th" ]
L.Chekhov
hep-th/9205091
Monopoles and Instantons in String Theory
In recent work, several classes of solitonic solutions of string theory with higher-membrane structure have been obtained. These solutions can be classified according to the symmetry possessed by the solitons in the subspace of the spacetime transverse to the membrane. Solitons with four-dimensional spherical symmetry ...
1992-05-26
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9205086
Fractional Superspace Formulation of Generalized Super-Virasoro Algebras
We present a fractional superspace formulation of the centerless parasuper-Viraso-ro and fractional super-Virasoro algebras. These are two different generalizations of the ordinary super-Virasoro algebra generated by the infinitesimal diffeomorphisms of the superline. We work on the fractional superline parametrized by...
1992-05-26
2009-10-22
[ "hep-th" ]
Stephane Durand
hep-th/9205085
Composite Operators in QCD
We give a formula for the derivatives of a correlation function of composite operators with respect to the parameters (i.e., the strong fine structure constant and the quark mass) of QCD in four-dimensional euclidean space. The formula is given as spatial integration of the operator conjugate to a parameter. The operat...
1992-05-25
2009-10-22
[ "hep-th" ]
Hidenori Sonoda
hep-th/9205084
Operator Coefficients for Composite Operators in the $(\phi^4)_4$ Theory
In a previous paper we derived a relation between the operator product coefficients and anomalous dimensions. We explore this relation in the $(\phi^4)_4$ theory and compute the coefficient functions in the products of $\phi^2$ and $\phi^4$ to first order in the parameter $\lambda$. The calculation results in two-loop ...
1992-05-25
2009-10-22
[ "hep-th" ]
Hidenori Sonoda
hep-th/9205083
Solitons reduced from Heterotic fivebranes
In view of the expectation that the solitonic sector of the lower dimensional world may be originated from the solitonic sector of string theory, various solitonic solutions are reduced from the heterotic fivebrane solutions in the ten-dimensional heterotic string theory. These solitons in principle can appear after pr...
1992-05-25
2007-05-23
[ "hep-th" ]
HoSeong La
hep-th/9205082
Simple-Current Symmetries, Rank-Level Duality, and Linear Skein Relations for Chern-Simons Graphs
A previously proposed two-step algorithm for calculating the expectation values of Chern-Simons graphs fails to determine certain crucial signs. The step which involves calculating tetrahedra by solving certain non- linear equations is repaired by introducing additional linear equations. As a first step towards a new a...
1992-05-24
2009-10-22
[ "hep-th" ]
Stephen G. Naculich, Harold A. Riggs, and Howard J. Schnitzer
hep-th/9205081
A Heterotic Multimonopole Solution
An exact multimonopole solution of heterotic string theory is presented. The solution is constructed by a modification of the 't Hooft ansatz for a four-dimensional instanton. An analogous solution in Yang-Mills field theory saturates a Bogomoln'yi bound and possesses the topology and far field limit of a multimonopole...
1992-05-23
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9205079
Duality of string amplitudes in a curved background
We initiate a program to study the relationship between the target space, the spectrum and the scattering amplitudes in string theory. We consider scattering amplitudes following from string theory and quantum field theory on a curved target space, which is taken to be the $SU(2)$ group manifold, with special attention...
1992-05-22
2010-11-01
[ "hep-th" ]
M{\aa}ns Henningson
hep-th/9205080
Canonical Transformations in Quantum Mechanics
Three elementary canonical transformations are shown both to have quantum implementations as finite transformations and to generate, classically and infinitesimally, the full canonical algebra. A general canonical transformation can, in principle, be realized quantum mechanically as a product of these transformations. ...
1992-05-22
2008-02-03
[ "hep-th" ]
Arlen Anderson
hep-th/9205078
Four Dimensional 2-Brane Solution in Chiral Gauged Wess-Zumino-Witten Model
An exact conformal field theory describing a four dimensional 2-brane solution is found by considering a chiral gauged Wess-Zumino -Witten theory corresponding to $SL(2, R)\times R$ , where one gauges the one dimensional $U(1)$ subgroup together with a translation in $R$. The backgrounds for string propagation are expl...
1992-05-21
2015-06-26
[ "hep-th" ]
Swapna Mahapatra
hep-th/9205075
The N=2(4) string is self-dual N=4 Yang-Mills
N=2 string amplitudes, when required to have the Lorentz covariance of the equivalent N=4 string, describe a self-dual form of N=4 super Yang-Mills in 2+2 dimensions. Spin-independent couplings and the ghost nature of SO(2,2) spacetime make it a topological-like theory with vanishing loop corrections.
1992-05-20
2015-06-26
[ "hep-th" ]
W. Siegel
hep-th/9205077
Edge Currents and Vertex Operators for Chern-Simons Gravity
We apply elementary canonical methods for the quantization of 2+1 dimensional gravity, where the dynamics is given by E. Witten's $ISO(2,1)$ Chern-Simons action. As in a previous work, our approach does not involve choice of gauge or clever manipulations of functional integrals. Instead, we just require the Gauss law c...
1992-05-20
2015-06-26
[ "hep-th" ]
G. Bimonte, K. S. Gupta, A. Stern
hep-th/9205071
Novel Symmetry of Non-Einsteinian Gravity in Two Dimensions
The integrability of $R^2$-gravity with torsion in two dimensions is traced to an ultralocal dynamical symmetry of constraints and momenta in Hamiltonian phase space. It may be interpreted as a quadratically deformed $iso(2,1)$-algebra with the deformation consisting of the Casimir operators of the undeformed algebra. ...
1992-05-20
2011-07-19
[ "hep-th" ]
H. Grosse, W. Kummer, P. Pre\v{s}najder and D.J. Schwarz
hep-th/9205073
Non-perturbative 2d quantum gravity and hamiltonians unbounded from below
We show how the stochastic stabilization provides both the weak coupling genus expansion and a strong coupling expansion of 2d quantum gravity. The double scaling limit is described by a hamiltonian which is unbounded from below, but which has a discrete spectrum.
1992-05-20
2015-06-26
[ "hep-th" ]
J. Ambjorn and C.F. Kristjansen
hep-th/9205076
The Critical Point of Unoriented Random Surfaces with a Non-Even Potential
The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model. The double-scaling limit of the recursion relation leads to a Miura transformation relating the contributions to the free energy comin...
1992-05-20
2016-08-14
[ "hep-th" ]
M.A. Mart\'in-Delgado
hep-th/9205072
Meromorphic c=24 Conformal Field Theories
Modular invariant conformal field theories with just one primary field and central charge $c=24$ are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In ...
1992-05-20
2009-10-22
[ "hep-th" ]
A. N. Schellekens
hep-th/9205074
Symmetries and Motions in Manifolds
In these lectures the relations between symmetries, Lie algebras, Killing vectors and Noether's theorem are reviewed. A generalisation of the basic ideas to include velocity-dependend co-ordinate transformations naturally leads to the concept of Killing tensors. Via their Poisson brackets these tensors generate an {\em...
1992-05-20
2011-04-15
[ "hep-th", "math-ph", "math.MP" ]
J. W. van Holten and R. H. Rietdijk
hep-th/9205066
Topological 2-form Gravity in Four Dimensions
A kind of topological field theory is proposed as a candidate to describe the global structure of the 2-form Einstein gravity with or without a cosmological constant. Indeed in the former case, we show that a quantum state in the candidate gives an exact solution of the Wheeler-DeWitt equation. The BRST quantization ba...
1992-05-19
2009-10-22
[ "hep-th" ]
H.Y. Lee, A. Nakamichi and T. Ueno