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hep-th/9407009
Elliptic Genera of N=2 Hermitian Symmetric Space Models
Expressions are given for the elliptic genera of the Kazama-Suzuki models associated with hermitian symmetric spaces when the problems of field identifications are absent. We use the models' known Coulomb gas descriptions.
1994-07-03
2009-10-28
[ "hep-th" ]
Toshiya Kawai
hep-th/9407012
Seeking Inspiration from the Standard Model in Order to Go Beyond it
We look at various features of the Standard Model with the purpose of exploring some possibilities of how to seek physical laws beyond it, i.e. at even smaller distances. Only parameters and structure which are not calculable from the Standard Model is considered useful information. Ca. $90$ bits of information contain...
1994-07-03
2007-05-23
[ "hep-th" ]
Holger Bech Nielsen, Svend Erik Rugh and Christian Surlykke
hep-th/9407008
A Possible Resolution of the Black Hole Information Puzzle
The problem of information loss is considered under the assumption that the process of black hole evaporation terminates in the decay of the black hole interior into a baby universe. We show that such theories can be decomposed into superselection sectors labeled by eigenvalues of the third-quantized baby universe fiel...
1994-07-02
2009-09-17
[ "hep-th", "gr-qc" ]
Joseph Polchinski and Andrew Strominger
hep-th/9407005
Dynamical Topology Change, Compactification and Waves in a Stringy Early Universe
Exact string solutions are presented, where moduli fields are varying with time. They provide examples where a dynamical change of the topology of space is occurring. Some other solutions give cosmological examples where some dimensions are compactified dynamically or simulate pre-big bang type scenarios. Some lessons ...
1994-07-01
2008-02-03
[ "hep-th", "astro-ph", "gr-qc" ]
E. Kiritsis and C. Kounnas
hep-th/9407001
The Conical Singularity And Quantum Corrections To Entropy Of Black Hole
For general finite temperature different from the Hawking one there appears a well known conical singularity in the Euclidean classical solution of gravitational equations. The method of regularizing the cone by regular surface is used to determine the curvature tensors for such a metrics. This allows one to calculate ...
1994-07-01
2010-11-01
[ "hep-th" ]
S.N.Solodukhin
hep-th/9407003
Convex Bases of PBW type for Quantum Affine Algebras
This note has two purposes. First we establish that the map defined in [L, $\S 40.2.5$ (a)] is an isomorphism for certain admissible sequences. Second we show the map gives rise to a convex basis of Poincar\'e--Birkhoff--Witt (PBW) type for $\bup$, an affine untwisted quantized enveloping algebra of Drinfel$'$d and Jim...
1994-07-01
2009-10-28
[ "hep-th", "math.QA" ]
Jonathan Beck
hep-th/9407007
Fractons in Twisted Multiflavor Schwinger Model
We consider two-dimensional QED with several fermion flavors on a finite spatial circle. A modified version of the model with {\em flavor-dependent} boundary conditions $\psi_p(L) = e^{2\pi ip/ N} \psi_p(0)$, $p = 1, \ldots , N$ is discussed ($N $ is the number of flavors). In this case a non-contactable contour in the...
1994-07-01
2009-09-25
[ "hep-th" ]
M. Shifman and A. Smilga
hep-th/9407006
Path-integral quantization of $W_\infty$ gravity
We consider the anomalies of $W_\infty$ gravity in the context of path-integralquantization. We derive the ghost-loop anomalies to all orders in $\hbar$ directly from the path-integral measure by the Fujikawa method. We also show that in the matter sector the higher-loop anomalies can be obtained by implementation of t...
1994-07-01
2009-10-28
[ "hep-th" ]
R. Mohayaee
hep-th/9406211
Representation theory and tensor product theory for vertex operator algebras
We first formulate a definition of tensor product for two modules for a vertex operator algebra in terms of a certain universal property and then we give a construction of tensor products. We prove the unital property of the adjoint module and the commutativity of tensor products, up to module isomorphism. We relate th...
1994-07-01
2009-09-25
[ "hep-th", "math.QA" ]
Hai-sheng Li
hep-th/9407002
Real decoupling ghost quantization of the CGHS model for two dimensional black holes
A complete RST quantization of a CGHS model plus Strominger term is carried out. In so doing a conformal invariant theory with $\kappa=\frac{N}{12}$ is found, that is, without ghosts contribution. The physical consequences of the model are analysed and positive definite Hawking radiation is found.
1994-07-01
2009-10-28
[ "hep-th" ]
S. Liberati
hep-th/9407004
Gravitational Phenomena from Superstrings in Curved Spacetime
The four-dimensional superstring solutions define at low energy effective supergravity theories. A class of them extends successfully the validity of the standard model up to the string scale (${\cal O}(10^{17})~TeV$). We stress the importance of string corrections which are relevant for low energy (${\cal O}(1)~TeV$) ...
1994-07-01
2007-05-23
[ "hep-th", "astro-ph", "gr-qc" ]
E. Kiritsis and C. Kounnas
hep-th/9406209
Remarks on Thermal Strings outside Black Holes
We discuss the semiclassical approximation to the level density of (super) strings propagating in non-compact coset manifolds $G/H$. We show that the WKB ansatz agrees with heuristic red-shift arguments with respect to the ``exact" sigma model metric, up to some deviations from minimal coupling, parametrized by the dil...
1994-06-30
2010-11-01
[ "hep-th" ]
J.L.F. Barbon
hep-th/9406213
Schroedinger Self-adjoint Extension and Quantum Field Theory
We argue that the results obtained using the quantum mechanical method of self-adjoint extension of the Schr\"odinger Hamiltonian can also be derived using Feynman perturbation theory in the investigation of the corresponding non-relativistic field theories. We show that this is indeed what happens in the study of an a...
1994-06-30
2009-10-28
[ "hep-th" ]
G. Amelino-Camelia and D. Bak
hep-th/9406214
The Supersymmetric Two Boson Hierarchies
We construct the most general supersymmetric two boson system that is integrable. We obtain the Lax operator and the nonstandard Lax representation for this system. We show that, under appropriate redefinition of variables, this reduces to the supersymmetric nonlinear Schr\"odinger equation without any arbitrary parame...
1994-06-30
2009-10-28
[ "hep-th" ]
J. C. Brunelli and A. Das
hep-th/9406203
Coset Realization of Unifying W-Algebras
We construct several quantum coset W-algebras, e.g. sl(2,R)/U(1) and sl(2,R)+sl(2,R) / sl(2,R), and argue that they are finitely nonfreely generated. Furthermore, we discuss in detail their role as unifying W-algebras of Casimir W-algebras. We show that it is possible to give coset realizations of various types of unif...
1994-06-30
2009-10-28
[ "hep-th" ]
R. Blumenhagen, W. Eholzer, A. Honecker, K. Hornfeck, R. Huebel
hep-th/9406217
Matter couplings in partially broken extended supersymmetry
We use nonlinear realizations to describe the spontaneous breaking of $N=2$ supersymmetry to $N=1$ in four dimensions. We identify the Goldstone multiplet with an $N=1$ chiral superfield, and show that chiral $N=1$ matter is consistent with the partially broken $N=2$ supersymmetry. We find that the chiral matter can be...
1994-06-30
2008-11-26
[ "hep-th" ]
J. Bagger and A. Galperin
hep-th/9406205
Bicovariant differential calculus on quantum groups from Poisson Lie structures
The aim of this lecture is to give a pedagogical explanation of the notion of a Poisson Lie structure on the external algebra of a Poisson Lie group which was introduced in our previous papers. Using this notion as a guide we construct quantum external algebras on $SL_q(N)$ with proper (classical) dimension.
1994-06-30
2008-02-03
[ "hep-th", "math.QA" ]
I. Ya. Aref'eva, G. E. Arutyunov and P. B. Medvedev
hep-th/9406206
A Canonical Approach to Duality Transformations
We show that Buscher's abelian duality transformation rules can be recovered in a very simple way by performing a canonical transformation first suggested by Giveon, Rabinovici and Veneziano. We explore the properties of this transformation, and also discuss some aspects of non-abelian duality.
1994-06-30
2011-05-05
[ "hep-th" ]
E. Alvarez, L. Alvarez-Gaume and Y. Lozano
hep-th/9406208
"Topological" Formulation of Effective Vortex Strings
We present a ``topological'' formulation of arbitrarily shaped vortex strings in four dimensional field theory. By using a large Higgs mass expansion, we then evaluate the effective action of the closed Abrikosov-Nielsen-Olesen vortex string. It is shown that the effective action contains the Nambu-Goto term and an ext...
1994-06-30
2010-11-01
[ "hep-th", "astro-ph", "hep-ph" ]
Masatoshi Sato and Shigeaki Yahikozawa
hep-th/9406207
String Field Theory in the Temporal Gauge
We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of them. Results of boundary conformal field theory are useful in making a connection b...
1994-06-30
2009-10-28
[ "hep-th" ]
M. Ikehara, N. Ishibashi, H. kawai, T. Mogami, R. Nakayama and N. Sasakura
hep-th/9406215
Quantum integrability of nonultralocal models through Baxterisation of quantised braided algebra
A scheme suitable for describing quantum nonultralocal models including supersymmetric ones is proposed. Braided algebras are generalised to be used through Baxterisation for constructing braided quantum Yang--Baxter equations. Supersymmetric and some known nonultralocal models are derived in the framework of the prese...
1994-06-30
2008-12-18
[ "hep-th" ]
Ladislav Hlavaty and Anjan Kundu
hep-th/9406212
Perturbative Renormalizations of Anyon Quantum Mechanics
In bosonic end perturbative calculations for quantum mechanical anyon systems a regularization and renormalization procedure, analogous to those used in field theory, is necessary. I examine the reliability and the physical interpretation of the most commonly used bosonic end regularization procedures. I then use the r...
1994-06-30
2009-10-28
[ "hep-th" ]
G. Amelino-Camelia
hep-th/9406210
Entropy for dilatonic black hole
The area formula for entropy is extended to the case of a dilatonic black hole. The entropy of a scalar field in the background of such a black hole is calculated semiclassically. The area and cutoff dependences are normal {\it except in the extremal case}, where the area is zero but the entropy nonzero.
1994-06-30
2013-11-13
[ "hep-th" ]
A. Ghosh and P. Mitra (Saha Institute of Nuclear Physics)
hep-th/9406216
Low energy effective string cosmology
We give the general analytic solutions derived from the low energy string effective action for four dimensional Friedmann-Robertson-Walker models with dilaton and antisymmetric tensor field, considering both long and short wavelength modes of the $H$-field. The presence of a homogeneous $H$-field significantly modifies...
1994-06-30
2009-10-28
[ "hep-th", "gr-qc" ]
E. J. Copeland, Amitabha Lahiri and David Wands
hep-th/9406218
Environmentally Friendly Renormalization in Finite-Temperature Field Theory
Contribution to the proceedings of the NATO workshop on the Electroweak Phase Transition and the Early Universe, Sintra, March 1994. To be published by Plenum Press.
1994-06-30
2007-05-23
[ "hep-th" ]
M.A. van Eijck, Denjoe O'Connor and C.R.Stephens
hep-th/9406204
Topics in Quantum Dynamics
The paper consists of two parts. In the first part Schroedinger's equation for a charged quantum particle in a Galilei-Newton curved space-time is derived in a fully geometrical way. Gravitational and electromagnetic fields are coded into space metric and space-time connection. The fundamental geometrical object is a q...
1994-06-30
2009-09-25
[ "hep-th" ]
A. Jadczyk
hep-th/9406193
A Theory for the Conformal Factor in Quantum $R^2$ Gravity
A new theory for the conformal factor in R$^2$-gravity is developed. The infrared phase of this theory, which follows from the one-loop renormalization group equations for the whole quantum R$^2$-gravity theory is described. The one-loop effective potential for the conformal factor is found explicitly and a mechanism f...
1994-06-29
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9406197
Integrable vector perturbations of W-invariant theories and their quantum group symmetry
Perturbations of $WD_n$ and $W_3$ conformal theories which generalize the $(1,2)$ perturbations of conformal minimal models are shown to be integrable by counting argument. $A_{2n-1,q}^{(2)}$ and $D_{4,q}^ {(3)}$ symmetries of corresponding S-matrices are conjectured and proved by explicit construction of conserved non...
1994-06-29
2008-02-03
[ "hep-th" ]
A. Babichenko
hep-th/9406199
Fixed-Point Structure of Scalar Fields
We search for alternatives to the trivial $\phi^4$ field theory by including arbitrary powers of the self-coupling. Such theories are renormalizable when the natural cutoff dependencies of the coupling constants are taken into account. We find a continuum of fixed points, which includes the well-known Gaussian fixed po...
1994-06-29
2009-10-28
[ "hep-th" ]
Kenneth Halpern and Kerson Huang
hep-th/9406198
Putting string/string duality to the test
After simultaneous compactification of spacetime and worldvolume on $K3$, the $D=10$ heterotic fivebrane with gauge group $SO(32)$ behaves like a $D=6$ heterotic string with gauge group $SO(28) \times SU(2)$, but with Kac--Moody levels different from those of the fundamental string. Thus the string/fivebrane duality co...
1994-06-29
2009-10-28
[ "hep-th" ]
M. J. Duff and R. Minasian
hep-th/9406201
Finite Black Hole Entropy and String Theory
An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of energy. Several authors have shown that in the context of Hawking radiation a li...
1994-06-29
2011-07-19
[ "hep-th" ]
Michael McGuigan
hep-th/9406192
Collective Field Theory of the Fractional Quantum Hall Edge State and the Calogero-Sutherland Model
\noindent Using hydrodynamic collective field theory approach we show that one-particle density matrix of the $\nu=1/m$ fractional quantum Hall edge state interpolates between chiral Luttinger liquid behavior $\langle \psi^{\dagger}(r) \psi(0) \rangle \sim r^{-m} $ and Calogero-Sutherland model behavior $\langle \psi^{...
1994-06-29
2009-10-28
[ "hep-th", "cond-mat" ]
S. Iso and S.J. Rey
hep-th/9406200
Physical Aspects of Differential Calculi on Commutative Algebras
The central structure in various versions of noncommutative geometry is a differential calculus on an associative algebra. This is an analogue of the calculus of differential forms on a manifold. In this short review we collect examples of differential calculi on commutative algebras (which can be regarded as algebras ...
1994-06-29
2008-02-03
[ "hep-th", "gr-qc" ]
F. M"uller-Hoissen
hep-th/9406195
Quantum Hamiltonian Reduction of the Schwinger Model
We reexamine a unitary-transformation method of extracting a physical Hamiltonian from a gauge field theory after quantizing all degrees of freedom including redundant variables. We show that this {\it quantum Hamiltonian reduction} method suffers from crucial modifications arising from regularization of composite oper...
1994-06-29
2009-10-28
[ "hep-th" ]
Kazunori Itakura and Koichi Ohta
hep-th/9406196
An involution and dynamics for the $q$-deformed quantum top
It is known that the involution corresponding to the compact form is incompatible with comultiplication for quantum groups at $|q|=1$. In this paper we consider the quantum algebra of functions on the deformed space $T^{*}G_{q}$ which includes both the quantum group and the quantum universal enveloping algebra as subal...
1994-06-29
2008-11-26
[ "hep-th" ]
A.Yu.Alekseev and L.D.Faddeev
hep-th/9406191
Quantum Dynamics in Regions of Quaternionic Curvature
The complex unit appearing in the equations of quantum mechanics is generalised to a quaternionic structure on spacetime, leading to the consideration of complex quantum mechanical particles whose dynamical behaviour is governed by inhomogeneous Dirac and Schr\"{o}dinger equations. Mixing of hyper-complex components of...
1994-06-29
2007-05-23
[ "hep-th" ]
S.P.Brumby and G.C.Joshi
hep-th/9406194
Yangian Double and Rational R-matrix
Studying the algebraic structure of the double ${\cal D}Y(g)$ of the yangian $Y(g)$ we present the triangular decomposition of ${\cal D}Y(g)$ and a factorization for the canonical pairing of the yangian with its dual inside ${\cal D}Y(g)$. As a consequence we obtain an explicit formula for the universal R-matrix $R$ of...
1994-06-29
2008-02-03
[ "hep-th", "math.QA" ]
Sergei Khoroshkin (ITEP, Moscow), Valeriy N. Tolstoy (Moscow State University)
hep-th/9406190
A nonmeromorphic extension of the moonshine module vertex operator algebra
We describe a natural structure of an abelian intertwining algebra (in the sense of Dong and Lepowsky) on the direct sum of the untwisted vertex operator algebra constructed {}from the Leech lattice and its (unique) irreducible twisted module. When restricting ourselves to the moonshine module, we obtain a new and conc...
1994-06-29
2008-02-03
[ "hep-th", "math.QA" ]
Yi-Zhi Huang
hep-th/9406183
Completeness of ``Good'' Bethe Ansatz Solutions of a Quantum Group Invariant Heisenberg Model
The $sl_q(2)$-quantum group invariant spin 1/2 XXZ-Heisenberg model with open boundary conditions is investigated by means of the Bethe ansatz. As is well known, quantum groups for $q$ equal to a root of unity possess a finite number of ``good'' representations with non-zero q-dimension and ``bad'' ones with vanishing ...
1994-06-28
2010-11-01
[ "hep-th" ]
G. Juettner and M. Karowski
hep-th/9406181
Cosmology and Models of Supersymmetry Breaking in String Theory
Supersymmetry breaking in string theory is expected to occur when moduli fields acquire non-trivial expectation values. In the early universe these fields start out displaced from their final destinations. I present some recent ideas about the cosmological evolution of the dilaton modulus field on the way to its vacuum...
1994-06-28
2007-05-23
[ "hep-th" ]
R. Brustein
hep-th/9406184
Is Complex Probability Theory Consistent with Bell's Theorem?
Bayesian complex probability theory is shown to be consistent with Bell's theorem and with other recent limitations on local realistic theories which agree with the predictions of quantum mechanics.
1994-06-28
2009-10-28
[ "hep-th", "gr-qc" ]
Saul Youssef
hep-th/9406202
Quantization of the Gravitational Constant in Odd-Dimensional Gravity
It is pointed out that the action recently proposed by Ba\~nados et al. for gravitation in odd dimensions higher (and lower) than four, provides a natural quantization for the gravitational constant. These theories possess no dimensionful parameters and hence they may be power counting renormalizable.
1994-06-28
2009-10-28
[ "hep-th", "gr-qc" ]
J.Zanelli
hep-th/9406188
The Standard Model with gravity couplings
In this paper, we examine the coupling of matter fields to gravity within the framework of the Standard Model of particle physics. The coupling is described in terms of Weyl fermions of a definite chirality, and employs only (anti)self-dual or left-handed spin connection fields. It is known from the work of Ashtekar an...
1994-06-28
2011-09-09
[ "hep-th", "gr-qc", "hep-ph" ]
Lay Nam Chang and Chopin Soo
hep-th/9406180
Analytic Bethe Ansatz for Fundamental Representations of Yangians
We study the analytic Bethe ansatz in solvable vertex models associated with the Yangian $Y(X_r)$ or its quantum affine analogue $U_q(X^{(1)}_r)$ for $X_r = B_r, C_r$ and $D_r$. Eigenvalue formulas are proposed for the transfer matrices related to all the fundamental representations of $Y(X_r)$. Under the Bethe ansatz ...
1994-06-28
2018-01-18
[ "hep-th" ]
Atsuo Kuniba and Junji Suzuki
hep-th/9406182
Quantum Backreaction on ``Classical'' Variables
A mathematically consistent procedure for coupling quasiclassical and quantum variables through coupled Hamilton-Heisenberg equations of motion is derived from a variational principle. During evolution, the quasiclassical variables become entangled with the quantum variables with the result that the value of the quasic...
1994-06-28
2009-10-28
[ "hep-th" ]
Arlen Anderson
hep-th/9406186
Differential calculus on q-Minkowski space
We wish to report here on a recent approach to the non-commutative calculus on $q$-Minkowski space which is based on the reflection equations with no spectral parameter. These are considered as the expression of the invariance (under the coaction of the $q$-Lorentz group) of the commutation properties which define the ...
1994-06-28
2008-02-03
[ "hep-th", "math.QA" ]
J. A. de Azc\'arraga and F. Rodenas (FTUV/IFIC/Valencia)
hep-th/9406185
Local Systems of Vertex Operators, Vertex Superalgebras and Modules
We give an analogue for vertex operator algebras and superalgebras of the notion of endomorphism ring of a vector space by means of a notion of ``local system of vertex operators'' for a (super) vector space. We first prove that any local system of vertex operators on a (super) vector space $M$ has a natural vertex (su...
1994-06-28
2008-02-03
[ "hep-th", "math.QA" ]
Hai-sheng Li
hep-th/9406187
Effective potential for nonrelativistic non-Abelian Chern-Simons matter system in constant background fields
We present the effective potential for nonrelativistic matter coupled to non-Abelian Chern-Simons gauge fields. We perform the calculation using a functional method in constant background fields to satisfy Gauss's law and to simplify the computation. Both the quantum gauge and matter fields are integrated over. The gau...
1994-06-28
2011-07-19
[ "hep-th" ]
D. Caenepeel and M. Leblanc
hep-th/9406175
On $E_{10}$ and the DDF construction
An attempt is made to understand the root spaces of Kac Moody algebras of hyperbolic type, and in particular $E_{10}$, in terms of a DDF construction appropriate to a subcritical compactified bosonic string. While the level-one root spaces can be completely characterized in terms of transversal DDF states (the level-ze...
1994-06-27
2010-11-01
[ "hep-th" ]
R.W. Gebert and H. Nicolai
hep-th/9406189
Duality Invariant Superstring Actions
Worldsheet supersymmetric string action is written in duality invariant form for flat as well as curved backgrounds. First the action in flat backgrounds is written by introducing auxiliary fields. We also give the superfield form of this action and obtain the offshell supersymmetry algebra. The action has a modified L...
1994-06-27
2011-07-19
[ "hep-th" ]
Abbas Ali
hep-th/9406173
Discrete Quantum Field Theories and the Intersection Form
It is shown that the standard mod-$p$ valued intersection form can be used to define Boltzmann weights of subdivision invariant lattice models with gauge group $Z_{p}$. In particular, we discuss a four dimensional model which is based upon the assignment of field variables to the $2$-simplices of the simplicial complex...
1994-06-27
2015-06-26
[ "hep-th" ]
Danny Birmingham and Mark Rakowski
hep-th/9406174
Elements of nonlinear quantum mechanics (Part II): Triple bracket generalization of quantum mechanics
A new version of NLQM is formulated in terms of the generalized Nambu dynamics. The generalization is free from the difficulties of earlier approaches. The paper is a second part of "Elements of NLQM (I): NL Schrodinger equation and two-level atoms".
1994-06-27
2007-05-23
[ "hep-th" ]
Marek Czachor
hep-th/9406178
Introduction to Duality
We describe the duality between different geometries which arises by considering the classical and quantum harmonic map problem. To appear in ``Essays on Mirror Manifolds II''.
1994-06-27
2007-05-23
[ "hep-th" ]
Amit Giveon and Martin Rocek
hep-th/9406179
Instanton Effects in Matrix Models and String Effective Lagrangians
We perform an explicit calculation of the lowest order effects of single eigenvalue instantons on the continuous sector of the collective field theory derived from a $d=1$ bosonic matrix model. These effects consist of certain induced operators whose exact form we exhibit.
1994-06-27
2009-10-28
[ "hep-th" ]
R. Brustein, M. Faux and B. Ovrut
hep-th/9406177
Regularization and Quantization of Higher Dimensional Current Algebras
We present some recently discovered infinite dimensional Lie algebras that can be understood as extensions of the algebra Map(M,g) of maps from a compact p-dimensional manifold to some finite dimensional Lie algebra g. In the first part of the paper, we describe the physical motivations for the study of these algebras....
1994-06-27
2015-06-26
[ "hep-th" ]
G. Ferretti (Chalmers University, G\"oteborg Sweden)
hep-th/9406176
Global Aspects of Symmetries in Sigma Models with Torsion
It is shown that non-trivial topological sectors can prevent the quantum mechanical implementation of the symmetries of the classical field equations of sigma models with torsion. The associated anomaly is computed, and it is shown that it depends on the homotopy class of the topological sector of the theory and the gr...
1994-06-27
2007-05-23
[ "hep-th" ]
G. Papadopoulos
hep-th/9406172
Quantum determinants
We show how to construct central and grouplike quantum determinants for FRT algebras A(R). As an application of the general construction we give a quantum determinant for the q-Lorentz group.
1994-06-26
2008-02-03
[ "hep-th", "math.QA" ]
Ulrich Meyer
hep-th/9406171
Topological Structure in ${\hat c}=1$ Fermionic String Theory
$\chat=1$ fermionic string theory, which is considered as a fermionic string theory in two dimension, is shown to decompose into two mutually independent parts, one of which can be viewed as a topological model and the other is irrelevant for the theory. The physical contents of the theory is largely governed by this t...
1994-06-25
2011-07-19
[ "hep-th" ]
Shinji Hirano and Hiroshi Ishikawa
hep-th/9406170
From geometric quantization to Moyal quantization
We show how the Moyal product of phase-space functions, and the Weyl correspondence between symbols and operator kernels, may be obtained directly using the procedures of geometric quantization, applied to the symplectic groupoid constructed by ``doubling'' the phase space.
1994-06-24
2009-10-28
[ "hep-th" ]
Jose M. Gracia-Bondia and Joseph C. Varilly
hep-th/9406164
Geometry of Fermionic Constraints in Superstring Theories
Considered are superparticle and superstring models invariant under supersymmetry in a target superspace and local extended worldsheet supersymmetry the latter replacing the fermionic $\kappa$--symmetry of the conventional Green--Schwarz formulations. (Talk given at the Conference on Geometry of Constrained Dynamical S...
1994-06-24
2007-05-23
[ "hep-th" ]
Dmitrij Sorokin
hep-th/9406163
Newtonian Potential in Quantum Regge Gravity
We show how the Newtonian potential between two heavy masses can be computed in simplicial quantum gravity. On the lattice we compute correlations between Wilson lines associated with the heavy particles and which are closed by the lattice periodicity. We check that the continuum analog of this quantity reproduces the ...
1994-06-24
2009-10-28
[ "hep-th" ]
Herbert W. Hamber (CERN) and Ruth M. Williams (DAMTP)
hep-th/9406165
Some Features of Blown-Up Nonlinear $\sigma$-Models
In terms of the gauged nonlinear $\sigma$-models, we describe some results and implications of solving the following problem: Given a smooth symplectic manifold as target space with a quasi-free Hamiltonian group action, perform the symplectic blowing up of the point singularity and identify the blow-up modes in the co...
1994-06-24
2010-04-06
[ "hep-th" ]
H.B. Gao and H. R\"omer
hep-th/9406168
q-deformed Fourier Theory
We solve the problem of Fourier transformation for the one-dimensional $q$-deformed Heisenberg algebra. Starting from a matrix representation of this algebra we observe that momentum and position are unbounded operators in the Hilbert space. Therefore, in order to diagonalise the position operator in a momentum eigenba...
1994-06-24
2008-02-03
[ "hep-th" ]
J. Schwenk
hep-th/9406166
Derivations and noncommutative differential calculus II
We characterize the derivation $d:A\to \Omega^1_{\der}(A)$ by a universal property introducing a new class of bimodules.
1994-06-24
2008-02-03
[ "hep-th", "dg-ga", "math.DG" ]
Michel Dubois-Violette and Peter W. Michor
hep-th/9406167
Canonical Transformations and Path Integral Measures
This paper is a generalization of previous work on the use of classical canonical transformations to evaluate Hamiltonian path integrals for quantum mechanical systems. Relevant aspects of the Hamiltonian path integral and its measure are discussed and used to show that the quantum mechanical version of the classical t...
1994-06-24
2009-10-28
[ "hep-th" ]
Mark S. Swanson
hep-th/9406162
The Beta-Function of the Chiral Gross Neveu Model at O(1/N^2)
We compute the $O(1/N^2)$ correction to the critical exponent $2\lambda$ $=$ $-$ $\beta^\prime(g_c)$ for the chiral Gross Neveu model in arbitrary dimensions by substituting the corrections to the asymptotic scaling forms of the propagators into the Schwinger Dyson equations and solving the resulting consistency equati...
1994-06-24
2014-11-18
[ "hep-th" ]
J.A. Gracey
hep-th/9406169
The Energy Density in the Maxwell-Chern-Simons Theory
A two-dimensional nonrelativistic fermion system coupled to both electromagnetic gauge fields and Chern-Simons gauge fields is analysed. Polarization tensors relevant in the quantum Hall effect and anyon superconductivity are obtained as simple closed integrals and are evaluated numerically for all momenta and frequenc...
1994-06-24
2014-11-18
[ "hep-th", "cond-mat" ]
Denne Wesolowski, Yutaka Hosotani and Sumantra Chakravarty
hep-th/9406161
A note on the path integral for systems with primary and secondary second class constraints
It is shown that the phase space path integral for a system with arbitrary second class constraints (primary, secondary ...) can be rewritten as a configuration space path integral of the exponent of the Lagrangian action with some local measure.
1994-06-24
2009-10-28
[ "hep-th" ]
M. Henneaux and S. Slavnov
hep-th/9406158
Non-Lagrangian Construction of Hamiltonian Structures
A method to construct Hamiltonian theories for systems of both ordinary and partial differential equations is presented. The knowledge of a Lagrangian is not at all necessary to achieve the result. The only ingredients required for the construction are one solution of the symmetry (perturbation) equation and one consta...
1994-06-23
2007-05-23
[ "hep-th", "gr-qc" ]
Sergio A. Hojman
hep-th/9406160
Multisolitons in a Two-dimensional Skyrme Model
The Skyrme model can be generalised to a situation where static fields are maps from one Riemannian manifold to another. Here we study a Skyrme model where physical space is two-dimensional euclidean space and the target space is the two-sphere with its standard metric. The model has topological soliton solutions which...
1994-06-23
2009-10-28
[ "hep-th", "hep-ph" ]
B.M.A.G.Piette, B.J.Schroers and W.J.Zakrzewski
hep-th/9406155
Polynomial Form Factors in the O(3) Nonlinear sigma-Model
We study the general structure of Smirnov's axioms on form factors of local operators in integrable models. We find various consistency conditions that the form factor functions have to satisfy. For the special case of the $O(3)$ $\sigma$-model we construct simple polynomial solutions for the operators of the spin-fiel...
1994-06-23
2009-10-28
[ "hep-th" ]
J. Balog and T. Hauer
hep-th/9406156
Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric Theories on Four Manifolds
We demonstrate that a supersymmetric theory twisted on a K\"ahler four manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann surfaces, possesses a "left-moving" conformal stress tensor on $\Sigma_1$ ($\Sigma_2$) in the BRST cohomology. The central charge of the Virasoro algebra has a purely geomet...
1994-06-23
2009-10-28
[ "hep-th" ]
Andrei Johansen
hep-th/9406154
Bosonization of Fermi Systems in Arbitrary Dimension in Terms of Gauge Forms
We present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current density in terms of a bosonic antisymmetric tensorfield of a rank d--1, where d...
1994-06-23
2011-07-19
[ "hep-th" ]
J. Froehlich, R. Goetschmann and P.A. Marchetti
hep-th/9406153
Renormalized expansion for matrix models
Matrix models of 2d quantum gravity coupled to matter field are investigated by the renormalized perturbational method, in which the matrix model Hamiltonian is represented by the equivalent vector model. By the saddle point method, the renormalization group beta-function is obtained in the successive approximation.
1994-06-23
2009-10-28
[ "hep-th" ]
Shinobu Hikami
hep-th/9406157
q-Epsilon tensor for quantum and braided spaces
The machinery of braided geometry introduced previously is used now to construct the $\epsilon$ `totally antisymmetric tensor' on a general braided vector space determined by R-matrices. This includes natural $q$-Euclidean and $q$-Minkowski spaces. The formalism is completely covariant under the corresponding quantum g...
1994-06-23
2009-10-28
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9406159
On Transformations Preserving the Basis Conditions of a Spin Structure Group in Four-Dimensional Super String Theory in Free Fermionic Formulation
Let $\Xi$ stand for a finite abelian spin structure group of four-dimensional superstring theory in free fermionic formulation whose elements are 64-dimensional vectors (spin structure vectors) with rational entries belonging to $\rbrack -1,\, 1\rbrack $ and the group operation is the $mod\, \, 2 $ entry by entry summa...
1994-06-23
2010-11-01
[ "hep-th" ]
Valery A. Kholodnyi
hep-th/9406142
Damped quantum harmonic oscillator: density operator and related quantities
A closed expression for the density operator of the damped harmonic oscillator is extracted from the master equation based on the Lindblad theory for open quantum systems. The entropy and effective temperature of the system are subsequently calculated and their temporal behaviour is surveyed by showing how these quanti...
1994-06-22
2007-05-23
[ "hep-th" ]
A. Isar
hep-th/9406141
Form Factors of 2-D Integrable Models Using Radial Quantization
We review some ideas from a recent construction which introduced the notion of vertex operators and form factors as vacuum expectation values of related vertex operators in the space of fields. The vertex operators are constructed explicitly in radial quantization. These ideas are explained at the free-fermion point of...
1994-06-22
2009-09-25
[ "hep-th" ]
Costas Efthimiou
hep-th/9406146
Representation Theory of Quantized Poincare Algebra. Tensor Operators and Their Application to One-Partical Systems
A representation theory of the quantized Poincar\'e ($\kappa$-Poincar\'e) algebra (QPA) is developed. We show that the representations of this algebra are closely connected with the representations of the non-deformed Poincar\'e algebra. A theory of tensor operators for QPA is considered in detail. Necessary and suffic...
1994-06-22
2009-10-28
[ "hep-th", "math.QA" ]
Henri Ruegg (Geneva University), Valeriy N. Tolstoy (Moscow State University)
hep-th/9406147
Quantum Lattice Solitons
The number state method is used to study soliton bands for three anharmonic quantum lattices: i) The discrete nonlinear Schr\"{o}dinger equation, ii) The Ablowitz-Ladik system, and iii) A fermionic polaron model. Each of these systems is assumed to have $f$-fold translational symmetry in one spatial dimension, where $f...
1994-06-22
2009-10-28
[ "hep-th" ]
A.C. Scott, J.C. Eilbeck, and H. Gilh{\o}j
hep-th/9406143
Strong oscillations of cumulants of photon distribution function in slightly squeezed states
The cumulants and factorial moments of photon distribution for squeezed and correlated light are calculated in terms of Chebyshev, Legendre and Laguerre polynomials. The phenomenon of strong oscillations of the ratio of the cumulant to factorial moment is found.
1994-06-22
2009-10-28
[ "hep-th" ]
V.V.Dodonov, I.M.Dremin, V.I.Man'ko, P.G. Polynkin
hep-th/9406145
Dynamical Generation of Spacetime Signature by Massive Quantum Fields on a Topologically Non-Trivial Background
The effective potential for a dynamical Wick field (dynamical signature) induced by the quantum effects of massive fields on a topologically non-trivial $D$ dimensional background is considered. It is shown that when the radius of the compactified dimension is very small compared with $\Lambda^{1/2}$ (where $\Lambda$ i...
1994-06-22
2010-04-06
[ "hep-th" ]
Sergei D. Odintsov, August Romeo and Robin W. Tucker
hep-th/9406148
A radiating dyon solution
We give a non-static exact solution of the Einstein-Maxwell equations (with null fluid), which is a non-static magnetic charge generalization to the Bonnor-Vaidya solution and describes the gravitational and electromagnetic fields of a nonrotating massive radiating dyon. In addition, using the energy-momentum pseudoten...
1994-06-22
2009-10-28
[ "hep-th", "astro-ph", "gr-qc" ]
A. Chamorro and K. S. Virbhadra
hep-th/9406152
Dual Supergravity in D=10, N=1 Superspace with Tree-Level Superstring Corrections
The dual version of the D=10 N=1 supergravity (SUGRA) is considered in the superspace approach. The superstring (anomaly compensating) corrections are described by the 3-form superfield $A_{abc}$ . The complete set of dynamical equations for the $A$-field and for physical fields of the theory are presented. The solutio...
1994-06-22
2009-10-28
[ "hep-th" ]
M.V.Terentiev
hep-th/9406151
Goldstone Theorem in the Gaussian Functional Approximation to the Scalar $\phi^{4}$ Theory
We verify the Goldstone theorem in the Gaussian functional approximation to the $\phi^{4}$ theory with internal O(2) symmetry. We do so by reformulating the Gaussian approximation in terms of Schwinger-Dyson equations from which an explicit demonstration of the Goldstone theorem follows directly.
1994-06-22
2009-09-25
[ "hep-th" ]
V. Dmitra\v{s}inovi\'c, J.R. Shepard and J.A. McNeil
hep-th/9406150
Super W-Symmetries, Covariantly Constant Forms And Duality Transformations
On a supersymmetric sigma model the covariantly constant forms are related to the conserved currents that are generators of a super W-algebra extending the superconformal algebra. The existence of covariantly constant forms restricts the holonomy group of the manifold. Via duality transformation we get new covariantly ...
1994-06-22
2009-10-28
[ "hep-th" ]
Byungbae Kim
hep-th/9406144
Effective actions with fixed points, (error in derivation of coefficient corrected)
The specific form of the constant term in the asymptotic expansion of the heat-kernel on an axially-symmetric space with a codimension two fixed-point set of conical singularities is used to determine the associated conformal change of the effective action in four dimensions. Another derivation of the relevant coeffici...
1994-06-22
2011-07-19
[ "hep-th", "gr-qc" ]
J.S.Dowker
hep-th/9406149
Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras
The representation theory of affine Kac-Moody Lie algebras has grown tremendously since their independent introduction by Robert V. Moody and Victor G. Kac in 1968. Inspired by mathematical structures found by theoretical physicists, and by the desire to understand the ``monstrous moonshine'' of the Monster group, the ...
1994-06-22
2009-09-25
[ "hep-th" ]
Michael D. Weiner
hep-th/9406135
The Field Theory Limit of Integrable Lattice Models
The light-cone approach is reviewed. This method allows to find the underlying quantum field theory for any integrable lattice model in its gapless regime. The relativistic spectrum and S-matrix follows straightforwardly in this way through the Bethe Ansatz. We show here how to derive the infinite number of local commu...
1994-06-21
2009-09-25
[ "hep-th" ]
H.J. de Vega
hep-th/9406138
Frustrating and Diluting Dynamical Lattice Ising Spins
We investigate what happens to the third order ferromagnetic phase transition displayed by the Ising model on various dynamical planar lattices (ie coupled to 2D quantum gravity) when we introduce annealed bond disorder in the form of either antiferromagnetic couplings or null couplings. We also look at the effect of s...
1994-06-21
2009-10-28
[ "hep-th", "cond-mat" ]
D. Johnston
hep-th/9406134
Asymptotic normalization properties and mass independent renormalization group functions
Mass independent renormalization group functions in massive theories are related to normalization properties of the Green functions in the asymptotic region, where mass effects are neglected. In this special form the renormalization group invariance is restricted to the asymptotic region and consequently mass effects c...
1994-06-21
2007-05-23
[ "hep-th", "hep-ph" ]
Elisabeth Kraus
hep-th/9406137
Lattice Poincare as a quantum deformed algebra
We propose a definition of a Poincar\'e algebra for a two dimensional space--time with one discretized dimension. This algebra has the structure of a Hopf algebra. We use the link between Onsager's uniformization of the Ising model and the dispersion relation of a free particle in this space--time, together with the ra...
1994-06-21
2007-05-23
[ "hep-th" ]
Cesar Gomez, Henri Ruegg, and Philippe Zaugg
hep-th/9406140
Geometry of determinants of elliptic operators
This paper is essentially a short version of hep-th/9404046. We compute multiplicative anomaly det(AB)/(detA detB) =F(A,B) for elliptic pseudo-differential operators (PDOs) A, B on a closed manifold M in terms of their symbols. We prove that F(A,B)=1 for elliptic differential operators close to positive-definite ones o...
1994-06-21
2016-09-06
[ "hep-th", "math.DG" ]
Maxim Kontsevich, Simeon Vishik
hep-th/9406136
All WZW Mooels in $D\leq5$
We present here all the real algebras $\cal{A}$ with dim$\cal{A}\leq $5 and all 6-dimensional nilpotent ones with symmetric, invariant and non-degenerate metrics for which a WZW model can be constructed. In three and four dimensions there are no other algebras than the well known $SU(2)$, $SU(1,1)$, $E_2^c$ and $H_4$...
1994-06-21
2007-05-23
[ "hep-th" ]
A.A. Kehagias
hep-th/9406139
A Remark on the Renormalization Group Equation for the Penner Model
It is possible to extract values for critical couplings and gamma_string in matrix models by deriving a renormalization group equation for the variation of the of the free energy as the size N of the matrices in the theory is varied. In this paper we derive a ``renormalization group equation'' for the Penner model by d...
1994-06-21
2009-10-28
[ "hep-th" ]
D. Johnston
hep-th/9406129
Strong Connections on Quantum Principal Bundles
A gauge invariant notion of a strong connection is presented and characterized. It is then used to justify the way in which a global curvature form is defined. Strong connections are interpreted as those that are induced from the base space of a quantum bundle. Examples of both strong and non-strong connections are pro...
1994-06-20
2009-10-28
[ "hep-th", "math.QA" ]
Piotr M. Hajac
hep-th/9406133
Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets
We consider correlation functions of the spin-$\half$ XXX and XXZ Heisenberg chains in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in terms of determinants of Fredholm integral operators.
1994-06-20
2009-10-28
[ "hep-th", "cond-mat" ]
F.H.L. Essler, H. Frahm, A.G. Izergin, V.E. Korepin
hep-th/9406131
Observations on the Topological Structure in 2d Gravity Coupled to Minimal Matter
By using a bosonization we uncover the topological gravity structure of Labastida, Pernici and Witten in ordinary $2d$ gravity coupled to $(p,q)$ minimal models. We study the cohomology class associated with the fermionic charge of the topological gravity which is shown to be isomorphic to that of the total $BRST$ char...
1994-06-20
2009-10-28
[ "hep-th" ]
P.M.Llatas and S.Roy
hep-th/9406132
Coping With Strongly Coupled String Theory
String theory, if it describes nature, is probably strongly coupled. As a result, one might despair of making any statements about the theory. In the framework of a set of clearly spelled out assumptions, we show that this is not necessarily the case. Certain discrete gauge symmetries, combined with supersymmetry, tigh...
1994-06-20
2013-11-13
[ "hep-th", "hep-ph" ]
T. Banks and M. Dine
hep-th/9406130
``Charge-Dyon" System As The Reduced Oscillator
It is shown, that in the general case the Kustaanheimo-Stiefel transformation (reduction of $4d$ oscillator on the twistor space by the Hamiltonian action of $U(1)$ with further time-reparametrization) leads to the integrable system, describing the interaction of a spinless electrically charged particle with a dyon .
1994-06-20
2015-06-26
[ "hep-th" ]
A. Nersessian and V. Ter-Antonian