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hep-th/9307051
Delicacies of the Mass Perturbation in the Schwinger Model on a Circle
The Hilbert bundle for the massless fermions of the Schwinger model on a circle, over the space of gauge field configurations, is topologically non-trivial (twisted). The corresponding bundle for massive fermions is topologically trivial (periodic). Since the structure of the fermionic Hilbert bundle changes discontinu...
1993-07-07
2009-10-22
[ "hep-th" ]
M. B. Paranjape
hep-th/9307045
String Field Theory of Noncritical Strings
We construct the Hamiltonian operator of the string field theory for $c=0$ string theory. It describes how strings evolve in the coordinate frame, which is defined by using the geodesic distance on the worldsheet. The Hamiltonian consists of three-string interaction terms and a tadpole term. We show that one can derive...
1993-07-07
2009-10-22
[ "hep-th" ]
Nobuyuki Ishibashi and Hikaru Kawai
hep-th/9307052
Aspects of Exactly Solvable Quantum-Corrected 2D Dilaton Gravity Theories
After reviewing the basic aspects of the exactly solvable quantum-corrected dilaton-gravity theories in two dimensions, we discuss a (subjective) selection of other aspects: a) supersymmetric extensions, b) canonical formalism, ADM-mass, and the functional integral measure, and c) a positive energy theorem and its appl...
1993-07-07
2011-04-15
[ "hep-th", "gr-qc" ]
Adel Bilal
hep-th/9307047
Relativistic Quantum Theory with Fractional Spin and Statistics
These lectures discuss the formulation of quantum mechanics with fractional spin and statistics in 2+1 dimensions in a relativistic setting, emphasizing the path-integral approach. The non-relativistic theory is reviewed from a path-integral viewpoint. The group-theoretical underpinnings of relativistic fractional spin...
1993-07-07
2007-05-23
[ "hep-th" ]
Stefano Forte
hep-th/9307049
Vacuum interpolation in supergravity via super p-branes
We show that many of the recently proposed supersymmetric p-brane solutions of d=10 and d=11 supergravity have the property that they interpolate between Minkowski spacetime and a compactified spacetime, both being supersymmetric supergravity vacua. Our results imply that the effective worldvolume action for small fluc...
1993-07-07
2009-10-07
[ "hep-th" ]
G.W. Gibbons and P.K. Townsend
hep-th/9307048
Abelian Current Algebra and the Virasoro Algebra on the Lattice
We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws.
1993-07-07
2009-10-22
[ "hep-th" ]
L. Faddeev and A.Yu. Volkov
hep-th/9307046
A BRST Analysis of $W$-symmetries
We perform a classical BRST analysis of the symmetries corresponding to a generic $w_N$-algebra. An essential feature of our method is that we write the $w_N$-algebra in a special basis such that the algebra manifestly has a ``nested'' set of subalgebras $v_N^N \subset v_N^{N-1} \subset \dots \subset v_N^2 \equiv w_N$ ...
1993-07-07
2009-10-22
[ "hep-th" ]
E. Bergshoeff, H.J. Boonstra, S. Panda and M. de Roo
hep-th/9307037
gl(N,N) Current Algebras and Topological Field Theories
The conformal field theory for the $gl(N,N)$ affine Lie superalgebra in two space-time dimensions is studied. The energy-momentum tensor of the model, with vanishing Virasoro anomaly, is constructed. This theory has a topological symmetry generated by operators of dimensions 1, 2 and 3, which are represented as normal-...
1993-07-06
2009-10-22
[ "hep-th" ]
J. M. Isidro and A. V. Ramallo
hep-th/9307030
A new family of $SU(2)$ symmetric integrable sigma models
(Minor corrections and reference added)
1993-07-06
2011-04-20
[ "hep-th" ]
J. Balog, P. Forg\'acs, Z. Horv\'ath and L. Palla
hep-th/9307034
Scale anomalies in non-relativistic field theories in 2+1 dimensions
{}From the one-loop effective potential for a gas of non-relativistic bosons in two spatial dimensions interacting via a delta-function potential at zero-temperature and finite chemical potential, the anomaly of the energy-momentum tensor follows directly. It is also similarly derived when the bosons have an additional...
1993-07-06
2009-10-22
[ "hep-th", "cond-mat" ]
T. Haugset and F. Ravndal
hep-th/9307036
The Dynamics of Relativistic Membranes I: Reduction to 2-dimensional Fluid Dynamics
We greatly simplify the light-cone gauge description of a relativistic membrane moving in Minkowski space by performing a field-dependent change of variables which allows the explicit solution of all constraints and a Hamiltonian reduction to a $SO(1,3)$ invariant $2+1$-dimensional theory of isentropic gas dynamics, wh...
1993-07-06
2011-05-05
[ "hep-th" ]
Martin Bordemann and Jens Hoppe
hep-th/9307043
BRST Operator for Superconformal Algebras with Quadratic Nonlinearity
We construct the quantum BRST operators for a large class of superconformal and quasi--superconformal algebras with quadratic nonlinearity. The only free parameter in these algebras is the level of the (super) Kac-Moody sector. The nilpotency of the quantum BRST operator imposes a condition on the level. We find this c...
1993-07-06
2009-10-22
[ "hep-th" ]
Z. Khviengia and E. Sezgin
hep-th/9307039
Doubly Supersymmetric Null Strings and String Tension Generation
We propose a twistor--like formulation of N=1, D=3,4,6 and 10 null superstrings. The model possesses N=1 target space supersymmetry and n=D-2 local worldsheet supersymmetry, the latter replaces the kappa-symmetry of the conventional approach to the strings. Adding a Wess--Zumino term to a null superstring action we obs...
1993-07-06
2009-10-22
[ "hep-th" ]
Igor A. Bandos, Dmitrij P. Sorokin, Mario Tonin and Dmitrij V. Volkov
hep-th/9307038
Computing the Complete Massless Spectrum of a Landau-Ginzburg Orbifold
We develop techniques to compute the complete the massless spectrum in heterotic string compactification on N=2 supersymmetric Landau-Ginzburg orbifolds. This includes not just the familiar charged fields, but also the gauge singlets. The number of gauge singlets can vary in the moduli space of a given compactification...
1993-07-06
2010-04-07
[ "hep-th" ]
Shamit Kachru and Edward Witten
hep-th/9307033
Symplectic Structure of 2D Dilaton Gravity
We analyze the symplectic structure of two-dimensional dilaton gravity by evaluating the symplectic form on the space of classical solutions. The case when the spatial manifold is compact is studied in detail. When the matter is absent we find that the reduced phase space is a two-dimensional cotangent bundle and deter...
1993-07-06
2009-01-16
[ "hep-th" ]
A. Mikovic and M. Navarro
hep-th/9307035
The Topological Charges of the $a_n^{(1)}$ Affine Toda Solitons
The topological charges of the \an affine Toda solitons are considered. A general formula is presented for the number of charges associated with each soliton, as well as an expression for the charges themselves. For each soliton the charges are found to lie in the corresponding fundamental representation, though in gen...
1993-07-06
2008-11-26
[ "hep-th" ]
W.A. McGhee
hep-th/9307042
Conjectures on Non-Local Effects in String Black Holes
We consider modifications to general relativity by the non-local (classical and quantum) string effects for the case of a D-dimensional Scwarzschild black hole. The classical non-local effects do not alter the spacetime topology (the horizon remains unshifted, at least perturbatively). We suggest a simple analytic cont...
1993-07-06
2010-11-01
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9307044
Wave Function Evolution of a Dissipative System
For a dissipative system with Ohmic friction, we obtain a simple and exact solution for the wave function of the system plus the bath. It is described by the direct product in two independent Hilbert space. One of them is described by an effective Hamiltonian, the other represents the effect of the bath, i.e., the Brow...
1993-07-06
2008-11-26
[ "hep-th" ]
Li Hua Yu, Chang-Pu Sun
hep-th/9307040
N=2 gauged WZW models and the elliptic genus
Witten recently gave further evidence for the conjectured relationship between the $A$ series of the $N=2$ minimal models and certain Landau-Ginzburg models by computing the elliptic genus for the latter. The results agree with those of the $N=2$ minimal models, as can be calculated from the known characters of the dis...
1993-07-06
2009-10-22
[ "hep-th" ]
M{\aa}ns Henningson
hep-th/9307031
Fusion Algebras of Fermionic Rational Conformal Field Theories via a Generalized Verlinde Formula
We prove a generalization of the Verlinde formula to fermionic rational conformal field theories. The fusion coefficients of the fermionic theory are equal to sums of fusion coefficients of its bosonic projection. In particular, fusion coefficients of the fermionic theory connecting two conjugate Ramond fields with the...
1993-07-06
2009-10-22
[ "hep-th" ]
Wolfgang Eholzer, Ralf H\"ubel
hep-th/9307032
Is it possible to extend the deformed Weyl algebra $W_q(n)$ to a Hopf algebra?
We argue that the algebra $W_q(n)$, generated by $n$ pairs of deformed $q$-bosons, does not allow a Hopfalgebra structure. To this end we show that it is impossible to define a comultiplication even for the usual, nondeformed case. We indicate how the comultiplication on $U_q[osp(1/2n)]$ can be used in order to constru...
1993-07-06
2008-02-03
[ "hep-th", "math.QA" ]
T. D. Palev
hep-th/9307029
$N=2$ super $W$ algebra in half-twisted Landau-Ginzburg model
We investigate $N=2$ extended superconformal symmetry, using the half-twisted Landau-Ginzburg models. The first example is the $D_{2n+2}$ -type minimal model. It has been conjectured that this model has a spin $n$ super $W$ current. We checked this by the direct computations of the BRS cohomology class up to $n=4$. We ...
1993-07-06
2015-06-26
[ "hep-th" ]
Kenji Mohri
hep-th/9307041
Manin triples and $N=2$ superconformal field theory
This work was inspired by the article of Parkhomenko, who drew attention to the central role played in the work of Spindel, Sevrin, Troust and van Proyen, by Manin triples. These authors have shown how to associate to a Manin triple an $N=2$ superconformal field theory (the work of Kazama-Suzuki is a special case of th...
1993-07-06
2008-02-03
[ "hep-th", "math.QA" ]
Ezra Getzler (MIT)
hep-th/9307026
Quadratic brackets from symplectic forms
We give a physicist oriented survey of Poisson-Lie symmetries of classical systems. We consider finite dimensional geometric actions and the chiral WZNW model as examples for the general construction. An essential point is that quadratic Poisson bracets appear for group--like variables. It is believed that after quanti...
1993-07-05
2009-10-22
[ "hep-th" ]
Anton Alekseev and Ivan Todorov
hep-th/9307028
Extrinsic Curvature Induced 2-d Gravity
Abtract: 2-dimensional fermions are coupled to extrinsic geometry of a conformally immersed surface in ${\bf R}^3$ through gauge coupling. By integrating out the fermions, we obtain a WZNW action involving extrinsic curvature of the surface. Restricting the resulting effective action to surfaces of $h\sqrt g=1$, an exp...
1993-07-05
2007-05-23
[ "hep-th" ]
K.S.Viswanathan and R.Parthasarathy
hep-th/9307027
The WZNW Model at Two Loops
We study perturbatively the (conformal) WZNW model. At one loop we compute one-particle irreducible two- and three-point current correlation functions, both in the conventional version and in the classically equivalent, chiral, nonlocal, induced version of the model. At two loops we compute the two-point function and f...
1993-07-05
2009-10-22
[ "hep-th" ]
B. de Wit, M.T. Grisaru, and P. van Nieuwenhuizen
hep-th/9307021
Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations
The relation between two--dimensional integrable systems and four--dimen\-sional self--dual Yang--Mills equations is considered. Within the twistor description and the zero--curvature representation a method is given to associate self--dual Yang-Mills connections with integrable systems of the Korteweg--de Vries and ...
1993-07-04
2011-07-19
[ "hep-th", "nlin.SI", "solv-int" ]
Francisco Guil and Manuel Ma\~nas
hep-th/9307020
Scaling Self-Similar Formulation of the String Equations of the Hermitian Matrix Model
The string equation appearing in the double scaling limit of the Hermitian one--matrix model, which corresponds to a Galilean self--similar condition for the KdV hierarchy, is reformulated as a scaling self--similar condition for the Ur--KdV hierarchy. A non--scaling limit analysis of the one--matrix model has led to t...
1993-07-04
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
Manuel Ma\~nas
hep-th/9307025
Euclidian 2D Gravity with Torsion
Closing a gap in the literature on the subject, the local solutions of 2D-gravity with torsion are given for Euclidian signature. For the topology of a cylinder the system is quantized.
1993-07-03
2007-05-23
[ "hep-th" ]
P.Schaller, T.Strobl
hep-th/9307023
Potential Flow Of The Renormalisation Group In A Simple Two Component Model
The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with $\phi^4$ self interaction coupled, via Yukawa coupling, to a fermion in flat four dimensional space. The RG flow on the two dimensional spa...
1993-07-03
2015-06-26
[ "hep-th" ]
Brian P. Dolan
hep-th/9307024
The Renormalisation Group Equation As An Equation For Lie Transport Of Amplitudes
It is shown that the renormalisation group (RG) equation can be viewed as an equation for Lie transport of physical amplitudes along the integral curves generated by the $\beta$-functions of a quantum field theory. The anomalous dimensions arise from Lie transport of basis vectors on the space of couplings. The RG equa...
1993-07-03
2016-09-06
[ "hep-th" ]
Brian P. Dolan
hep-th/9307015
Deformation Theory of Holomorphic Vector Bundles, Extended Conformal Symmetry and Extensions of 2D Gravity
Developing on the ideas of R. Stora and coworkers, a formulation of two dimensional field theory endowed with extended conformal symmetry is given, which is based on deformation theory of holomorphic and Hermitian spaces. The geometric background consists of a vector bundle $E$ over a closed surface $\Sigma$ endowed wi...
1993-07-02
2010-04-06
[ "hep-th" ]
Roberto Zucchini
hep-th/9307017
Akns Hierarchy, Self-Similarity, String Equations and the Grassmannian
In this paper the Galilean, scaling and translational self--similarity conditions for the AKNS hierarchy are analysed geometrically in terms of the infinite dimensional Grassmannian. The string equations found recently by non--scaling limit analysis of the one--matrix model are shown to correspond to the Galilean self-...
1993-07-02
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
F.Guil and M.Manas
hep-th/9307009
Flat structure for the simple elliptic singularity of type $\widetilde {\bf E_6}$ and Jacobi form
In order to construct the inverse mapping of the period mapping for the primitive form for the semi-universal deformation of a simple elliptic singularity, K.Saito introduced in [5] the ``flat structure'' for the extended affine root system. In section 3, we construct explicitly the flat theta invariants in the case of...
1993-07-02
2008-02-03
[ "hep-th", "math.QA", "math.RT" ]
Ikuo Satake
hep-th/9307011
Quantum mechanics and quantum Hall effect on Riemann surfaces
The quantum mechanics of a system of charged particles interacting with a magnetic field on Riemann surfaces is studied. We explicitly construct the wave functions of ground states in the case of a metric proportional to the Chern form of the $\theta$-bundle, and the wave functions of the Landau levels in the case of t...
1993-07-02
2009-10-22
[ "hep-th", "cond-mat" ]
R. Iengo and D. Li
hep-th/9307018
Generalized Reduction Procedure: Symplectic and Poisson Formalism
We present a generalized reduction procedure which encompasses the one based on the momentum map and the projection method. By using the duality between manifolds and ring of functions defined on them, we have cast our procedure in an algebraic context. In this framework we give a simple example of reduction in the non...
1993-07-02
2009-10-22
[ "hep-th" ]
J. Grabowski, G. Landi, G. Marmo and G. Vilasi
hep-th/9307010
Implications of Conformal Invariance in Field Theories for General Dimensions
The requirements of conformal invariance for two and three point functions for general dimension $d$ on flat space are investigated. A compact group theoretic construction of the three point function for arbitrary spin fields is presented and it is applied to various cases involving conserved vector operators and the e...
1993-07-02
2008-11-26
[ "hep-th" ]
H. Osborn and A. Petkos
hep-th/9307008
Quantum affine algebras and universal R-matrix with spectral parameter, II
This paper is an extended version of our previous short letter \cite{ZG2} and is attempted to give a detailed account for the results presented in that paper. Let $U_q({\cal G}^{(1)})$ be the quantized nontwisted affine Lie algebra and $U_q({\cal G})$ be the corresponding quantum simple Lie algebra. Using the previous ...
1993-07-02
2008-02-03
[ "hep-th", "math.QA" ]
Yao-Zhong Zhang and Mark D. Gould
hep-th/9307007
Quantum Affine Algebras and Universal $R$-Matrix with Spectral Parameter
Using the previous obtained universal $R$-matrix for the quantized nontwisted affine Lie algebras $U_q(A_1^{(1)})$ and $U_q(A_2^{(1)})$, we determine the explicitly spectral-dependent universal $R$-matrix for the corresponding quantum Lie algebras $U_q(A_1)$ and $U_q(A_2)$. As their applications, we reproduce the well-...
1993-07-02
2011-07-19
[ "hep-th", "math.QA" ]
Yao-Zhong Zhang and Mark D. Gould
hep-th/9307019
Quantum Mechanics as Complex Probability Theory
Realistic quantum mechanics based on complex probability theory is shown to have a frequency interpretation, to coexist with Bell's theorem, to be linear, to include wavefunctions which are expansions in eigenfunctions of Hermitian operators and to describe both pure and mixed systems. Illustrative examples are given. ...
1993-07-02
2009-10-22
[ "hep-th", "cond-mat", "gr-qc" ]
S. Youssef
hep-th/9307014
Covariant Pauli-Villars Regularization of Quantum Gravity at the One Loop Order
We study a regularization of the Pauli-Villars kind of the one loop gravitational divergences in any dimension. The Pauli-Villars fields are massive particles coupled to gravity in a covariant and nonminimal way, namely one real tensor and one complex vector. The gauge is fixed by means of the unusual gauge-fixing that...
1993-07-02
2009-10-22
[ "hep-th" ]
Damiano Anselmi
hep-th/9307022
Jet Bundles in Quantum Field Theory: The BRST-BV method
The geometric interpretation of the Batalin-Vilkovisky antibracket as the Schouten bracket of functional multivectors is examined in detail. The identification is achieved by the process of repeated contraction of even functional multivectors with fermionic functional 1-forms. The classical master equation may then be ...
1993-07-02
2010-04-06
[ "hep-th" ]
Paul McCloud
hep-th/9307012
Some Elements of Connes' Non-Commutative Geometry, And Space-Time Geometry
Contribution to the Proceedings in honour of C.N. Yang, editor S-T Yau. To
1993-07-02
2015-03-10
[ "hep-th" ]
A.H. Chamseddine and J. Fr\"ohlich
hep-th/9307013
Potentials for (p,0) and (1,1) supersymmetric sigma models with torsion
Using (1,0) superfield methods, we determine the general scalar potential consistent with off-shell (p,0) supersymmetry and (1,1) supersymmetry in two-dimensional non-linear sigma models with torsion. We also present an extended superfield formulation of the (p,0) models and show how the (1,1) models can be obtained fr...
1993-07-02
2009-10-09
[ "hep-th" ]
C.M. Hull, G. Papadopoulos and P.K. Townsend
hep-th/9307016
String Equations for the Unitary Matrix Model and the Periodic Flag Manifold
The periodic flag manifold (in the Sato Grassmannian context) description of the modified Korteweg--de Vries hierarchy is used to analyse the translational and scaling self--similar solutions of this hierarchy. These solutions are characterized by the string equations appearing in the double scaling limit of the symmet...
1993-07-02
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
Manuel Manas and Partha Guha
hep-th/9307005
A Note on Effective String Theory
Motivated by the possibility of an effective string description for the infrared limit of pure Yang-Mills theory, we present a toy model for an effective theory of random surfaces propagating in a target space of $D>2$. We show that the scaling exponents for the fixed area partition function of the theory are apparentl...
1993-07-01
2015-06-26
[ "hep-th" ]
S. Chaudhuri and D. Minic
hep-th/9307001
String-Based Methods in Perturbative Gravity
String theory implies a relatively modest growth in computational complexity for perturbative gravity calculations as compared to gauge theory calculations, contrary to field theory expectations. An explicit string-based calculation, which would be extremely difficult using conventional techniques, is presented to illu...
1993-07-01
2011-09-29
[ "hep-th", "hep-ph" ]
Z. Bern, D.C. Dunbar, and T. Shimada
hep-th/9307002
Review of free-fermionic 4d string models
I review the main properties of four-dimensional strings constructed with free-fermions on the world-sheet. In particular I discuss possible model independent low energy predictions related to the existence of states with fractional electric charges, the computation of the string unification scale, the string model bui...
1993-07-01
2007-05-23
[ "hep-th", "hep-ph" ]
I. Antoniadis
hep-th/9307006
Bosonization of $QED_3$ with an induced Chern - Simons term
We extend the bosonization of $2+1$ - dimensional QED with one fermionic flavor performed previously to the case of QED with an induced Chern - Simons term. The coefficient of this term is quantized: $e^2n/8\pi$, $n\in {\bf Z}$. The fermion operators are constructed in terms of the bosonic fields $A_i$ and $E_i$. The c...
1993-07-01
2009-10-22
[ "hep-th" ]
A. Kovner and P. S. Kurzepa
hep-th/9306163
The matreoshka of supersymmetric self-dual theories
Extended super self-dual systems have a structure reminiscent of a ``matreoshka''. For instance, solutions for N=0 are embedded in solutions for N=1, which are in turn embedded in solutions for N=2, and so on. Consequences of this phenomenon are explored. In particular, we present an explicit construction of local solu...
1993-06-30
2009-10-22
[ "hep-th" ]
Ch. Devchand and V. Ogievetsky
hep-th/9306158
D=(0|2) Dirac--Maxwell--Einstein Theory as a Way for Describing Supersymmetric Quartions
Drawing an analogy with the Dirac theory of fermions interacting with electromagnetic and gravitational field we write down supersymmetric equations of motion and construct a superfield action for particles with spin 1/4 and 3/4 (quartions), where the role of quartion momentum in effective (2+1)--dimensional space-time...
1993-06-30
2008-11-26
[ "hep-th" ]
Dmitrij P. Sorokin and Dmitrij V. Volkov
hep-th/9306161
Functional Schroedinger Equation for Fermions in External Gauge Fields
We discuss the functional Schroedinger picture for fermions in external fields for both stationary and time-dependent problems. We give formal results for the ground state and the solution of the time-dependent Schroedinger equation for QED in arbitrary dimensions, while more explicit results are obtained in two dimens...
1993-06-30
2009-10-22
[ "hep-th" ]
Claus Kiefer and Andreas Wipf
hep-th/9306164
Affine Algebras, $N{=}2$ Superconformal Algebras, and Gauged WZNW Models
We find a canonical $N{=}2$ superconformal algebra (SCA) in the BRST complex associated to any affine Lie algebra $\hat{\mathbf{h}}$ with $\mathbf{h}$ semisimple. In contrast with the similar known results for the Virasoro, $N{=}1$ supervirasoro, and $W_3$ algebras, this SCA does not depend on the particular "matter" r...
1993-06-30
2020-10-19
[ "hep-th" ]
Jos\'e M. Figueroa-O'Farrill
hep-th/9307004
Self-Dual Spin-3 And 4 Theories
We present self-dual spin-3 and 4 actions using relevant dreibein fields. since these actions start with a Chern-Simons like kinetic term (and therefore cannot be obtained through dimensional reduction) one might wonder whether they need the presence of auxiliary ghost-killings fields. It turns out that they must conta...
1993-06-30
2007-05-23
[ "hep-th" ]
C. Aragone & A. Khoudeir
hep-th/9306157
Elliptic Genera and the Landau-Ginzburg Approach to N=2 Orbifolds
We compute the elliptic genera of orbifolds associated with $N=2$ super--conformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of the macroscopic Landau-Ginzburg orbifolds with those of the corresponding microscopic $N=2$ orbifolds further supports the conjectured ident...
1993-06-30
2016-09-06
[ "hep-th" ]
P. Di Francesco, O. Aharony and S. Yankielowicz
hep-th/9306162
Fusion rules in conformal field theory
Several aspects of fusion rings and fusion rule algebras, and of their manifestations in twodimensional (conformal) field theory, are described: diagonalization and the connection with modular invariance; the presentation in terms of quotients of polynomial rings; fusion graphs; various strategies that allow for a part...
1993-06-30
2009-10-22
[ "hep-th" ]
J. Fuchs
hep-th/9306160
Super Triple Systems and Applications to Para-Statistics and Yand-Baxter Equation
We introduce the notion of ortho-symplectic super triple system, and apply it to find solutions of super Yang-Baxter equation. Also, the para-statistics are formulated as a Lie-super triple system.
1993-06-30
2007-05-23
[ "hep-th" ]
S. Okubo
hep-th/9307003
Massive Vector Chern-Simons Gravity
We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term.This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneously broke...
1993-06-30
2008-11-26
[ "hep-th" ]
C. Aragone & P.J. Arias & A. Khoudeir
hep-th/9306156
Recent Developments in Fractional Superstrings
Fractional superstrings experience new types of ``internal projections'' which alter or deform their underlying worldsheet conformal field theories. In this talk I summarize some recent results concerning both the worldsheet theory which remains after the internal projections have acted, and the spacetime statistics pr...
1993-06-30
2016-09-06
[ "hep-th" ]
Keith R. Dienes
hep-th/9306159
Helicity in Classical Electrodynamics and Turbulence
For the electromagnetic fields, hydrodynamic media and turbulent flows we consider the relationship between a topological characteristic of vector fields known as helicity and the angular momentum of the medium, and discuss, in this respect, the problem of helicity and angular momentum transfer from the electromagnetic...
1993-06-30
2007-05-23
[ "hep-th" ]
Aleksej V. Chechkin, Dmitrij P. Sorokin and Vladimir V. Yanovsky
hep-th/9306155
Linear $r$-matrix algebra for classical separable systems
We consider a hierarchy of the natural type Hamiltonian systems of $n$ degrees of freedom with polynomial potentials separable in general ellipsoidal and general paraboloidal coordinates. We give a Lax representation in terms of $2\times 2$ matrices for the whole hierarchy and construct the associated linear $r$-matrix...
1993-06-29
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
J. C. Eilbeck, V. Z. Enol'skii, Vadim B. Kuznetsov and A. V. Tsiganov
hep-th/9306154
Effective action in spherical domains
The effective action on an orbifolded sphere is computed for minimally coupled scalar fields. The results are presented in terms of derivatives of Barnes zeta-functions and it is shown how these may be evaluated. Numerical values are shown. An analytical, heat-kernel derivation of the Ces\`aro-Fedorov formula for the n...
1993-06-29
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
J.S.Dowker
hep-th/9306152
Turbulence as Statistics of Vortex Cells
We develop the formulation of turbulence in terms of the functional integral over the phase space configurations of the vortex cells. The phase space consists of Clebsch coordinates at the surface of the vortex cells plus the Lagrange coordinates of this surface plus the conformal metric. Using the Hamiltonian dynamics...
1993-06-29
2008-02-03
[ "hep-th", "cond-mat", "hep-lat" ]
A.A.Migdal
hep-th/9306153
2D Gravity and Random Matrices
We review recent progress in 2D gravity coupled to $d<1$ conformal matter, based on a representation of discrete gravity in terms of random matrices. We discuss the saddle point approximation for these models, including a class of related $O(n)$ matrix models. For $d<1$ matter, the matrix problem can be completely solv...
1993-06-29
2010-11-01
[ "hep-th" ]
P. Di Francesco, P. Ginsparg, and J. Zinn-Justin
hep-th/9306151
Gauging of T-Duality Invariant Worldsheet String Actions
T-Duality invariant worldsheet string actions, recently written down by Schwarz and Sen, are coupled to the worldsheet gauge fields. It is shown that the integration of the dual coordinates gives the conventional, vector, axial and chiral, gauged string actions for the appropriate choice of the gauged isometries. Alter...
1993-06-28
2009-10-22
[ "hep-th" ]
Alok Kumar
hep-th/9306149
Finite-dimensional representations of the quantum superalgebra $U_q[gl(n/m)]$ and related q-identities
Explicit expressions for the generators of the quantum superalgebra $U_q[gl(n/m)]$ acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a Gel'fand-Zetlin basis is known. The verification of the quantum superalgebra relat...
1993-06-28
2009-10-22
[ "hep-th", "math.QA" ]
T. D. Palev, N. I. Stoilova and J. Van der Jeugt
hep-th/9306148
Thermal Green's Functions from Quantum Mechanical Path Integrals II: Inclusion of Fermions
In a previous paper we have shown how, for bosonic fields, the generating functional in both relativistic quantum field theory and thermal field theory can be evaluated by use of a standard quantum mechanical path integral. In this paper we extend this method to include fermionic fields. A particular problem is posed b...
1993-06-28
2009-10-22
[ "hep-th", "hep-ph" ]
D G C McKeon and a K Rebhan
hep-th/9306144
Quantum Mechanics on Manifolds
A definition of quantum mechanics on a manifold $ M $ is proposed and a method to realize the definition is presented. This scheme is applicable to a homogeneous space $ M = G / H $. The realization is a unitary representation of the transformation group $ G $ on the space of vector bundle-valued functions. When $ H \n...
1993-06-28
2007-05-23
[ "hep-th" ]
Shogo Tanimura
hep-th/9306147
Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity
The Batalin--Vilkovisky (BV) formalism is a useful framework to study gauge theories. We summarize a simple procedure to find a a gauge--fixed action in this language and a way to obtain one--loop anomalies. Calculations involving the antifields can be greatly simplified by using a theorem on the antibracket cohomology...
1993-06-28
2016-09-06
[ "hep-th" ]
S. Vandoren and A. Van Proeyen
hep-th/9306150
Uniformization theory and 2D gravity I. Liouville action and intersection numbers
This is the first part of an investigation concerning the formulation of 2D gravity in the framework of the uniformization theory of Riemann surfaces. As a first step in this direction we show that the classical Liouville action appears in the expression of the correlators of topological gravity. Next we derive an ineq...
1993-06-28
2009-10-22
[ "hep-th", "alg-geom", "gr-qc", "math.AG" ]
M. Matone
hep-th/9306145
Simple currents versus orbifolds with discrete torsion -- a complete classification
We give a complete classification of all simple current modular invariants, extending previous results for $(\Zbf_p)^k$ to arbitrary centers. We obtain a simple explicit formula for the most general case. Using orbifold techniques to this end, we find a one-to-one correspondence between simple current invariants and su...
1993-06-28
2016-09-06
[ "hep-th" ]
M. Kreuzer and A. N. Schellekens
hep-th/9306146
Thermodynamics and Form Factors of Supersymmetric Integrable Field Theories
We study on-shell and off-shell properties of the supersymmetric sinh-Gordon and perturbed SUSY Yang-Lee models using the thermodynamic Bethe ansatz and form factors. Identifying the supersymmetric models with the Eight Vertex Free Fermion Model, we derive inversion relation for inhomogeneous transfer matrix and TBA eq...
1993-06-28
2009-10-22
[ "hep-th" ]
Changrim Ahn
hep-th/9306133
Regularization of current algebra
In this talk I want to explain the operator substractions needed to regularize gauge currents in a second quantized theory. The case of space-time dimension $3+1$ is considered in detail. In presence of chiral fermions the regularization effects a modification of the local commutation relations of the currents by local...
1993-06-27
2007-05-23
[ "hep-th" ]
Jouko Mickelsson
hep-th/9306143
Graph IRF Models and Fusion Rings
Recently, a class of interaction round the face (IRF) solvable lattice models were introduced, based on any rational conformal field theory (RCFT). We investigate here the connection between the general solvable IRF models and the fusion ones. To this end, we introduce an associative algebra associated to any graph, as...
1993-06-27
2008-02-03
[ "hep-th", "alg-geom", "math.QA" ]
Doron Gepner (Caltech and Weizmann)
hep-th/9306141
States and quantum effects in the collective field theory of a deformed matrix model
We derive an equation which gives the tree-level scattering amplitudes for tachyons in the black hole background using the exact states of the collective field hamiltonian corresponding to a deformed matrix model recently proposed by Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit expression ...
1993-06-27
2009-10-22
[ "hep-th" ]
Kresimir Demeterfi and Joao P. Rodrigues
hep-th/9306142
The Canonical Symmetry and Hamiltonian Formalism. II. Hamiltonian Operators
It is shown how the canonical symmetry is used to look for the hierarchy of the Hamiltonian operators relevant to the system under consideration. It appears that only the invariance condition can be used to solve the problem.
1993-06-27
2007-05-23
[ "hep-th" ]
A. N. Leznov and A. V. Razumov
hep-th/9306139
Solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded modules
We explicitly write dowm integral formulas for solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded -- neither highest nor lowest weight -- $\gtsl_{n+1}$-modules. The formulas are closely related to WZNW model at a rational level.
1993-06-26
2011-07-19
[ "hep-th", "math.QA" ]
Kenji Iohara, Feodor Malikov
hep-th/9306140
$N=2$ Super-Weyl Symmetry, Super-Liouville Theory and Super-Riemannian Surfaces
The finite form of the $N=2$ super-Weyl transformations in the chiral and twisted-chiral irreducible formulations of the two-dimensional $N=2$ superfield supergravity are found in $N=2$ superspace. The super-Weyl anomaly of the $N=2$ extended fermionic string theory is computed in terms of the $N=2$ superfields, by usi...
1993-06-26
2010-04-06
[ "hep-th" ]
Sergei V. Ketov and Sven-Olaf Moch
hep-th/9306137
Integral Intertwining Operators and Complex Powers of Differential ($q-$Difference) Operators
We study a family of modules over Kac-Moody algebras realized in multi-valued functions on a flag manifold and find integral representations for intertwining operators acting on these modules. These intertwiners are related to some expressions involving complex powers of Lie algebra generators. When applied to affine...
1993-06-26
2008-02-03
[ "hep-th", "math.QA" ]
Boris Feigin and Feodor Malikov
hep-th/9306138
Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups
We introduce and study action of quantum groups on skew polynomial rings and related rings of quotients. This leads to a ``q-deformation'' of the Gel'fand-Kirillov conjecture which we partially prove. We propose a construction of automorphisms of certain non-commutaive rings of quotients coming from complex powers of q...
1993-06-26
2011-07-19
[ "hep-th", "math.QA" ]
Kenji Iohara and Feodor Malikov
hep-th/9306134
$W_3$ strings, parafermions and the Ising model
We show that any covariant scattering amplitude of the $W_3$ string will contain, as part of its integrand, a factor that obeys the differential equations satisfied by an Ising model correlation function. This factor can thus be identified with such a correlation function, in agreement with a previous result of the aut...
1993-06-25
2009-10-22
[ "hep-th" ]
M. Freeman and P. West
hep-th/9306130
Moduli Space of Topological 2-form Gravity
We propose a topological version of four-dimensional (Euclidean) Einstein gravity, in which anti-self-dual 2-forms and an SU(2) connection are used as fundamental fields. The theory describes the moduli space of conformally self-dual Einstein manifolds. In the presence of a cosmological constant, we evaluate the index ...
1993-06-25
2009-10-22
[ "hep-th" ]
Mitsuko Abe, A. Nakamichi and T. Ueno
hep-th/9306132
A New Symmetry for QED
We demonstrate that QED exhibits a previously unobserved symmetry. Some consequences are discussed.
1993-06-25
2009-10-22
[ "hep-th" ]
Martin Lavelle and David McMullan
hep-th/9306136
Subdivision Analysis of Topological $Z_{p}$ Lattice Gauge Theory
We analyze the subdivision properties of certain lattice gauge theories for the discrete abelian groups $Z_{p}$, in four dimensions. In these particular models we show that the Boltzmann weights are invariant under all $(k,l)$ subdivision moves, when the coupling scale is a $p$th root of unity. For the case of manifold...
1993-06-25
2007-05-23
[ "hep-th", "hep-lat" ]
D. Birmingham and M. Rakowski
hep-th/9306135
Regularisation of non-local actions in two-dimensional field theories
Taking the induced action for gauge fields coupled to affine currents as an example, we show how loop calculations in non-local two-dimensional field theories can be regulated. Our regularisation method for one loop is based on the method of Pauli and Villars. We use it to calculate the renormalisation factors for the ...
1993-06-25
2009-10-22
[ "hep-th" ]
A. Sevrin, R. Siebelink and W. Troost
hep-th/9306127
Isospectral Flow and Liouville-Arnold Integration in Loop Algebras
A number of examples of Hamiltonian systems that are integrable by classical means are cast within the framework of isospectral flows in loop algebras. These include: the Neumann oscillator, the cubically nonlinear Schr\"odinger systems and the sine-Gordon equation. Each system has an associated invariant spectral curv...
1993-06-25
2015-06-26
[ "hep-th", "nlin.SI", "solv-int" ]
John Harnad
hep-th/9306131
On the Physical Propagators of QED
The true variables in QED are the transverse photon components and Dirac's physical electron, constructed out of the fermionic field and the longitudinal components of the photon. We calculate the propagators in terms of these variables to one loop and demonstrate their gauge invariance. The physical electron propagato...
1993-06-25
2009-10-22
[ "hep-th", "hep-ph" ]
Martin Lavelle and David McMullan
hep-th/9306129
Factoring out free fields
For a generic $\Ww$ algebra, we give an algorithmic procedure for factoring out all fields of dimension $1/2$, both bosonic and fermionic, and some fields of dimension $1$. This generalizes and makes more explicit the Goddard-Schwimmer theorem for free fermions. We also show how the induced gravity theory for the origi...
1993-06-25
2008-02-03
[ "hep-th" ]
A. Deckmyn and K. Thielemans
hep-th/9306126
$SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents
It is shown that $SL(n,R)$ KdV hierarchy can be expressed as definite nonpolynomials in Kac Moody currents and their derivatives by the action of Borel subgroup of $SL(n,R)$ on the phase space of centrally extended $sl(n,R)$ Kac Moody currents. Construction of Lax pair is shown, confirming Drinfeld Sokolov type Hamilto...
1993-06-24
2007-05-23
[ "hep-th" ]
Sasanka Ghosh and Samir K. Paul
hep-th/9306125
Five-Brane Effective Field Theory on Calabi-Yau Threefolds
We consider the compactification of the dual form of $N=1$ $D=10$ supergravity on a six-dimensional Calabi-Yau manifold. An $N=1$ off-shell supergravity effective Lagrangian in four dimensions can be constructed in a dual version of the gravitational sector (new-minimal supergravity form). Superspace duality has a simp...
1993-06-24
2010-04-06
[ "hep-th" ]
R. D'Auria, S. Ferrara and M. Villasante
hep-th/9306123
Mellin-Barnes Representation for the Genus-g Finite Temperature String Theory
The Mellin-Barnes representation for the free energy of the genus-$g$ string is constructed. It is shown that the interactions of the open bosonic string do not modify the critical (Hagedorn) temperature. However,for the sectors having a spinor structure, the critical temperature exists also for all $g$ and depends on ...
1993-06-23
2019-08-17
[ "hep-th" ]
A.A. Bytsenko, E. Elizalde, S.D. Odintsov, S. Zerbini
hep-th/9306122
Quantum Background Independence In String Theory
Not only in physical string theories, but also in some highly simplified situations, background independence has been difficult to understand. It is argued that the ``holomorphic anomaly'' of Bershadsky, Cecotti, Ooguri, and Vafa gives a fundamental explanation of some of the problems. Moreover, their anomaly equation ...
1993-06-23
2007-05-23
[ "hep-th" ]
Edward Witten
hep-th/9306121
Exact Solution for the Most General Minimally Coupled One Dimensional Lattice Gauge Theory
We consider one dimensional lattice gauge theories constructed by the minimal coupling prescription. It is shown that these theories are exactly solvable in the thermodynamic limit. After considering the most general case, we discuss some special cases on finite lattices, and also work out some examples. There is no ph...
1993-06-23
2009-10-22
[ "hep-th" ]
M. Khorrami
hep-th/9306124
Exact Dynamics of Quantum Dissipative System in Constant External Field
The quantum dynamics of a simplest dissipative system, a particle moving in a constant external field , is exactly studied by taking into account its interaction with a bath of Ohmic spectral density. We apply the main idea and methods developed in our recent work [1] to quantum dissipative system with constant externa...
1993-06-23
2019-08-17
[ "hep-th" ]
Sun, C.P and L.H.Yu
hep-th/9306117
Differential Regularization of a Non-relativistic Anyon Model
Differential regularization is applied to a field theory of a non-relativistic charged boson field $\phi$ with $\lambda (\phi {}^{*} \phi)^2$ self-interaction and coupling to a statistics-changing $U(1)$ Chern-Simons gauge field. Renormalized configuration-space amplitudes for all diagrams contributing to the $\phi {}^...
1993-06-22
2009-10-08
[ "hep-th" ]
D. Z. Freedman, G. Lozano and N. Rius
hep-th/9306115
Does noncommutative geometry predict nonlinear Higgs mechanism?
It is argued that the noncommutative geometry construction of the standard model predicts a nonlinear symmetry breaking mechanism rather than the orthodox Higgs mechanism. Such models have experimentally verifiable consequences.
1993-06-22
2009-10-22
[ "hep-th", "hep-ph" ]
Jan Sladkowski
hep-th/9306112
Integrable extensions of the rational and trigonometric $A_N$ Calogero Moser potentials
We describe the $R$-matrix structure associated with integrable extensions, containing both one-body and two-body potentials, of the $A_N$ Calogero-Moser $N$-body systems. We construct non-linear, finite dimensional Poisson algebras of observables. Their $N \rightarrow \infty$ limit realize the infinite Lie algebras ...
1993-06-22
2009-10-22
[ "hep-th" ]
Jean Avan
hep-th/9306119
Connection on the theory space
By studying the geometric properties of correlation functions on the theory space, we are naturally led to a connection for the infinite dimensional vector bundle of composite fields over the theory space. We show how the short distance singularities of the theory are determined by the geometry of the theory space, i.e...
1993-06-22
2008-02-03
[ "hep-th" ]
Hidenori Sonoda
hep-th/9306120
Embedded Defects
We give a prescription for embedding classical solutions and, in particular, topological defects in field theories which are invariant under symmetry groups that are not necessarily simple. After providing examples of embedded defects in field theories based on simple groups, we consider the electroweak model and show ...
1993-06-22
2010-11-01
[ "hep-th" ]
Manuel Barriola, Tanmay Vachaspati and Martin Bucher
hep-th/9306114
Field-enlarging transformations and chiral theories
A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of different models discussed in the literature. The problem of superfluous degrees of freedom and their influence on quantiza...
1993-06-22
2015-06-26
[ "hep-th", "hep-ph" ]
Jan Sladkowski