id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
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hep-th/9312141 | Infinite dimensional symmetry of corner transfer matrices | We review some of the recent developments in two dimensional statistical
mechanics in which corner transfer matrices provide the vital link between the
physical system and the representation theory of quantum affine algebras. This
opens many new possibilities, because the eigenstates may be described using
the properti... | 1993-12-16 | 2016-09-06 | [
"hep-th",
"nlin.SI",
"solv-int"
] | Brian Davies |
hep-th/9312142 | Quantum Hall effect from soliton equation | The Laughlin function of quantum Hall effect is shown to satisfy Hirota's
bilinear difference equation with certain coefficients a little different from
the KP hierarchy. Vertex operators which constitute blocks of solutions
generate a B\"acklund transformation. Besides the Laughlin function, the
equation admits solito... | 1993-12-16 | 2007-05-23 | [
"hep-th"
] | Hideaki Hiro-Oka and Satoru Saito |
hep-th/9312149 | $S^1 \times S^2$ wormholes and topological charge | I investigate solutions to the Euclidean Einstein-matter field equations with
topology $S^1 \times S^2 \times R$ in a theory with a massless periodic scalar
field and electromagnetism. These solutions carry winding number of the
periodic scalar as well as magnetic flux. They induce violations of a
quasi-topological con... | 1993-12-16 | 2010-11-01 | [
"hep-th",
"gr-qc"
] | S. Alexander Ridgway |
hep-th/9312144 | On Discrete Symmetries of the Multi-Boson KP Hierarchies | We show that the multi-boson KP hierarchies possess a class of discrete
symmetries linking them to the discrete Toda systems. These discrete symmetries
are generated by the similarity transformation of the corresponding Lax
operator. This establishes a canonical nature of the discrete transformations.
The spectral equa... | 1993-12-16 | 2009-10-22 | [
"hep-th",
"nlin.SI",
"solv-int"
] | H.Aratyn, L.A. Ferreira and A.H. Zimerman |
hep-th/9312143 | Non-Compact Calabi-Yau Spaces and Other Non-Trivial Backgrounds for 4-D
Superstrings | A large class of new 4-D superstring vacua with non-trivial/singular
geometries, spacetime supersymmetry and other background fields (axion,
dilaton) are found. Killing symmetries are generic and are associated with
non-trivial dilaton and antisymmetric tensor fields. Duality symmetries
preserving N=2 superconformal in... | 1993-12-16 | 2007-05-23 | [
"hep-th"
] | E. Kiritsis, C. Kounnas and D. Lust |
hep-th/9312145 | Evaluation of Observables in the Gaussian $N=\infty$ Kazakov-Migdal
Model | We examine the properties of observables in the Kazakov-Migdal model. We
present explicit formulae for the leading asymptotics of adjoint Wilson loops
as well as some other observables for the model with a Gaussian potential. We
discuss the phase transiton in the large $N$ limit of the $d=1$ model. One of
appendices is... | 1993-12-16 | 2015-06-26 | [
"hep-th"
] | M.Dobroliubov, A.Morozov, G.Semenoff and N.Weiss |
hep-th/9312146 | Sharpened Information-Theoretic Uncertainty Relations and the Histories
Approach to Quantum Mechanics | In this paper alternative formulations of the conventional uncertainty
relation are studied in the context of decoherent histories. The results are
given in terms of Shannon information. A variety of methods are developed to
evaluate the upper bound for the probability of two or more projection
histories. The methods e... | 1993-12-16 | 2007-05-23 | [
"hep-th"
] | Bernhard Meister |
hep-th/9312136 | Towards a Semiclassical Seismology of Black Holes | Black hole spacetimes are semiclassically not static. For black holes whose
lifetime is larger than the age of the universe we compute, in leading order,
the power spectrum of deviations of the electromagnetic charge from it's
average value, zero. Semiclassically the metric itself has a statistical
interpretation and w... | 1993-12-15 | 2010-11-01 | [
"hep-th",
"gr-qc"
] | Michael Crescimanno |
hep-th/9312135 | Handle Operators in R.C.F.T | For the series associated to a group or coset R.C.F.T. there is a simple
universal form for the inverse of the handle operator in the ring of fusions.
These formulae may be easily understood from the quantization of the associated
Chern-Simons theory. (Transcript of talk given at STRINGS '93 (Berkeley)
Conference) | 1993-12-15 | 2007-05-23 | [
"hep-th"
] | Michael Crescimanno |
hep-th/9312134 | Handle Operators of Coset Models | Several interesting features of coset models "without fixed points" are
easily understood via Chern-Simons theory. In this paper we derive explicit
formulae for the handle-squashing operator in these cosets. These operators are
fixed, linear combinations of the irreducible representations of the coset. As
a simple appl... | 1993-12-15 | 2015-06-26 | [
"hep-th"
] | Michael Crescimanno |
hep-th/9312139 | Representations of q-Minkowski space algebra | The properties of the quantum Minkowski space algebra are discussed. Its
irreducible representations with highest weight vectors are constructed and
relations to other quantum algebras: $su_{q}(2)$, $q$-oscillator, $q$-sphere
are pointed out. | 1993-12-15 | 2008-02-03 | [
"hep-th",
"math.QA"
] | P. P. Kulish |
hep-th/9312132 | Dynamical Determination of the Metric Signature in Spacetime of
Nontrivial Topology | The formalism of Greensite for treating the spacetime signature as a
dynamical degree of freedom induced by quantum fields is considered for
spacetimes with nontrivial topology of the kind ${\bf R}^{D-1} \times {\bf
T}^1$, for varying $D$. It is shown that a dynamical origin for the Lorentzian
signature is possible in ... | 1993-12-15 | 2010-04-06 | [
"hep-th"
] | E. Elizalde, S.D. Odintsov and A. Romeo |
hep-th/9312130 | Open Spin Chains and Quadratic Algebras | Algebraic framework for construction of a commuting set of operators that can
be interpreted as integrals of motion of the open spin chain with boundary
conditions and nearest neighbour interaction is investigated. | 1993-12-15 | 2007-05-23 | [
"hep-th"
] | L. Hlavaty |
hep-th/9312137 | A Functional Integral Equation for the Complete Effective Action in
Quantum Field Theory | Based on a methodological analysis of the effective action approach certain
conceptual foundations of quantum field theory are reconsidered to establish a
quest for an equation for the effective action. Relying on the functional
integral formulation of Lagrangian quantum field theory a functional integral
equation for ... | 1993-12-15 | 2009-09-25 | [
"hep-th"
] | K. Scharnhorst |
hep-th/9312129 | Deformation Quantization of the Heisenberg Group | A *-product compatible with the comultiplication of the Hopf algebra of the
functions on the Heisenberg group is determined by deforming a coboundary
Lie-Poisson structure defined by a classical r-matrix satisfying the modified
Yang-Baxter equation. The corresponding quantum group is studied and its
R-matrix is explici... | 1993-12-15 | 2009-10-22 | [
"hep-th"
] | F.Bonechi, R.Giachetti, E.Sorace and M.Tarlini (Dipartimento di
Fisica, Universita` di Firenze and INFN--Firenze, Dipartimento di Matematica,
Universita` di Bologna.) |
hep-th/9312131 | AB and Berry phases for a quantum cloud of charge | We investigate the phase accumulated by a charged particle in an extended
quantum state as it encircles one or more magnetic fluxons, each carrying half
a flux unit. A simple, essentially topological analysis reveals an interplay
between the Aharonov-Bohm phase and Berry's phase. | 1993-12-15 | 2014-11-18 | [
"hep-th",
"cond-mat"
] | Y. Aharonov, S. Coleman, A.S. Goldhaber, S. Nussinov, S. Popescu, B.
Reznik, D. Rohrlich, and L. Vaidman |
hep-th/9312140 | Solutions Of The Yang-baxter Equations From Braided-Lie Algebras And
Braided Groups | We obtain an R-matrix or matrix representation of the Artin braid group
acting in a canonical way on the vector space of every (super)-Lie algebra or
braided-Lie algebra. The same result applies for every (super)-Hopf algebra or
braided-Hopf algebra. We recover some known representations such as those
associated to rac... | 1993-12-15 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Shahn Majid |
hep-th/9312138 | On the Heat Kernel in Covariant Background Gauge | The first three coefficients in an expansion of the heat kernel of a
nonminimal nonabelian kinetic operator taken in an arbitrary background gauge
in arbitrary space-time dimension are calculated | 1993-12-15 | 2010-11-01 | [
"hep-th",
"hep-ph"
] | E.I.Guendelman, A.Leonidov, V.Nechitailo and D.A.Owen |
hep-th/9312133 | Generalized Bethe Ansatz Equations for Hofstadter Problem | The problem of diagonalization of the quantum mechanical Hamiltonian,
governing dynamics of an electron on a two-dimensional triangular or square
lattice in external uniform magnetic field, applied perpendicularly to the
lattice plane, the flux through lattice cell, divided by the elementary quantum
flux, being rationa... | 1993-12-15 | 2015-06-26 | [
"hep-th",
"cond-mat"
] | L.D. Faddeev and R.M. Kashaev |
hep-th/9312113 | Poisson geometry of flat connections for $\roman{SU}(2)$-bundles on
surfaces | In earlier work we have shown that the moduli space $N$ of flat connections
for the (trivial) $\roman{SU(2)}$-bundle on a closed surface of genus $\ell
\geq 2$ inherits a structure of stratified symplectic space with two connected
strata $N_Z$ and $N_{(T)}$ and $2^{2\ell}$ isolated points. In this paper we
show that, c... | 1993-12-14 | 2008-02-03 | [
"hep-th",
"math.SG"
] | Johannes Huebschmann |
hep-th/9312126 | Cayley-Klein Algebras as Graded Contractions of so(N+1) | We study $\Bbb Z_2^{\otimes N}$ graded contractions of the real compact
simple Lie algebra $so(N+1)$, and we identify within them the Cayley-Klein
algebras as a naturally distinguished subset. | 1993-12-14 | 2019-07-19 | [
"hep-th"
] | F.J. Herranz, M. de Montigny, M.A. del Olmo and M. Santander |
hep-th/9312110 | Instantons in Schwinger Model | The known calculations of the fermion condensate $<\bar{\psi}\psi>$ and the
correlator $<\bar{\psi}\psi(x) ~\bar{\psi}\psi(0)>$ have been interpreted in
terms of {\em localized} instanton solutions minimizing the {\em effective}
action. Their size is of order of massive photon Compton wavelength $\mu^{-1}$.
At high tem... | 1993-12-14 | 2009-09-25 | [
"hep-th"
] | A.V.Smilga |
hep-th/9312124 | Collective Field Theory for D=0 Matrix Models | I investigate non-perturbative aspects of zero-dimensional matrix models.
Subtleties in the large-$N$ limit of the semiclassical picture are pointed out.
The tunneling of eigenvalues is seen to correspond to a chaotic sequence of
recursion coefficients determining the orthogonal polynomials. | 1993-12-14 | 2007-05-23 | [
"hep-th"
] | Olaf Lechtenfeld |
hep-th/9312119 | Critical Points of the Product of Powers of Linear Functions and
Families of Bases of Singular Vectors | The quasiclassical asymptotics of the Knizhnik-Zamolodchikov equation with
values in the tensor product of sl(2)- representations are considered. The
first term of asymptotics is an eigenvector of a system of commuting operators.
We show that the norm of this vector with respect to the Shapovalov form is
equal to the d... | 1993-12-14 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Alexander Varchenko |
hep-th/9312111 | K\"ahler manifolds with positive first Chern class and mirrors of rigid
Calabi-Yau manifolds | Recent work on the relation between a special class of K\"ahler manifolds
with positive first Chern class and critical N$=$2 string vacua with c$=$9 is
reviewed and extended. (Based on a talk presented at the International Workshop
on
Supersymmetry and Unification of Fundamental Interactions
(SUSY 93), Boston, MA, ... | 1993-12-14 | 2008-02-03 | [
"hep-th",
"math.AG"
] | R. Schimmrigk |
hep-th/9312112 | Symplectic and Poisson structures of certain moduli spaces | Symplectic and Poisson structures of certain moduli spaces/Huebschmann,J./
Abstract: Let $\pi$ be the fundamental group of a closed surface and $G$ a Lie
group with a biinvariant metric, not necessarily positive definite. It is shown
that a certain construction due to A. Weinstein relying on techniques from
equivariant... | 1993-12-14 | 2008-02-03 | [
"hep-th",
"math.SG"
] | Johannes Huebschmann |
hep-th/9312122 | Modular Symmetries in $Z_N$ Orbifold Compactified String Theories with
Wilson lines | Target space modular symmetries relevant to string loop threshold corrections
are studied for $Z_N$ orbifold compactified string theories containing Wilson
line background fields. | 1993-12-14 | 2010-11-01 | [
"hep-th"
] | D. Bailin, A. Love, W.A. Sabra and S. Thomas |
hep-th/9312120 | $D=2$ String Theory in Target Space/World-Sheet Light-Cone Gauge | $D=2$ free string in linear dilaton background is considered in so called
target space/world-sheet light cone gauge $ X^{+}=0,~g_{++}=0,~g_{+-}=1$. After
gauge fixing the theory has the residual Virasoro and $U(1)$ current
symmetries. The physical spectrum related to $SL_2$ invariant vacuum is found
to be trivial. We f... | 1993-12-14 | 2015-06-26 | [
"hep-th"
] | A.P.Zubarev |
hep-th/9312114 | Renormalization group flow for SU(2) Yang-Mills theory and gauge
invariance | We study the formulation of the Wilson renormalization group (RG) method for
a non-Abelian gauge theory. We analyze the simple case of $SU(2)$ and show that
the local gauge symmetry can be implemented by suitable boundary conditions for
the RG flow. Namely we require that the relevant couplings present in the
physical ... | 1993-12-14 | 2009-10-22 | [
"hep-th",
"hep-ph"
] | M. Bonini, M. D'Attanasio and G. Marchesini |
hep-th/9312118 | Loop Space Hamiltonians And Field Theory Of Non-Critical Strings | We consider the loop space representation of multi-matrix models. Explaining
the origin of a time variable through stochastic quantization we make contact
with recent proposals of Ishibashi and Kawai. We demonstrate how collective
field theory with its loop space interactions generates a field theory of
non-critical st... | 1993-12-14 | 2009-10-22 | [
"hep-th"
] | A. Jevicki and J. Rodrigues |
hep-th/9312116 | Chern-Simons approach to three-manifold invariants | A new, formal, non-combinatorial approach to invariants of three-dimensional
manifolds of Reshetikhin, Turaev and Witten in the framework of
non-perturbative topological quantum Chern-Simons theory, corresponding to an
arbitrary compact simple Lie group, is presented. A direct implementation of
surgery instructions in ... | 1993-12-14 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Boguslaw Broda (Univ. of Lodz) |
hep-th/9312127 | Black Hole Evaporation along Macroscopic Strings | We develop the quantization of a macroscopic string which extends radially
from a Schwarzschild black hole. The Hawking process excites a thermal bath of
string modes that causes the black hole to lose mass. The resulting typical
string configuration is a random walk in the angular coordinates. We show that
the energy ... | 1993-12-14 | 2013-11-13 | [
"hep-th"
] | A. Lawrence and E. Martinec |
hep-th/9312125 | Deformation Quantization of the Isotropic Rotator | We perform a deformation quantization of the classical isotropic rigid
rotator. The resulting quantum system is not invariant under the usual
$SU(2)\times SU(2)$ chiral symmetry, but instead $SU_{q^{-1}}(2) \times
SU_q(2)$. | 1993-12-14 | 2015-06-26 | [
"hep-th"
] | A. Stern and I. Yakushin |
hep-th/9312117 | Hidden Gravity in Open-String Field Theory | We clarify the nature of the graviton as a bound state in open-string field
theory: The flat metric in the action appears as the vacuum value of an OPEN
string field. The bound state appears as a composite field in the FREE field
theory. | 1993-12-14 | 2009-10-22 | [
"hep-th"
] | W. Siegel |
hep-th/9312123 | Affine Gelfand-Dickey brackets and holomorphic vector bundles | Conjecture 9B from the previous version of the paper stating that any
holomorphic vector bundle on an elliptic curve can be realized by a scalar
differential equation has now been proved by the authors. The proof is included
in the new version. | 1993-12-14 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Pavel Etingof and Boris Khesin |
hep-th/9312115 | Infinitely Many Strings in De Sitter Spacetime: Expanding and
Oscillating Elliptic Function Solutions | The exact general evolution of circular strings in $2+1$ dimensional de
Sitter spacetime is described closely and completely in terms of elliptic
functions. The evolution depends on a constant parameter $b$, related to the
string energy, and falls into three classes depending on whether $b<1/4$
(oscillatory motion), $b... | 1993-12-14 | 2009-10-22 | [
"hep-th"
] | H.J. de Vega, A.L. Larsen and N. S\'anchez |
hep-th/9312121 | Particle-Field Duality and Form Factors from Vertex Operators | Using a duality between the space of particles and the space of fields, we
show how one can compute form factors directly in the space of fields. This
introduces the notion of vertex operators, and form factors are vacuum
expectation values of such vertex operators in the space of fields. The vertex
operators can be co... | 1993-12-14 | 2014-11-18 | [
"hep-th"
] | Costas Efthimiou and Andre LeClair |
hep-th/9312097 | More Curiosities at Effective c = 1 | The moduli space of all rational conformal quantum field theories with
effective central charge c_eff = 1 is considered. Whereas the space of unitary
theories essentially forms a manifold, the non unitary ones form a fractal
which lies dense in the parameter plane. Moreover, the points of this set are
shown to be in on... | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | Michael A.I. Flohr |
hep-th/9312109 | Structure of the Effective Potential in Nonrelativistic Chern-Simons
Field Theory | We present the scalar field effective potential for nonrelativistic
self-interacting scalar and fermion fields coupled to an Abelian Chern-Simons
gauge field. Fermions are non-minimally coupled to the gauge field via a Pauli
interaction. Gauss's law linearly relates the magnetic field to the matter
field densities; hen... | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | D. Caenepeel, F. Gingras, M. Leblanc and D.G.C. McKeon |
hep-th/9312108 | Non Abelian Toda Theory : A Completely Integrable Model for Strings on a
Black Hole Background | The present paper studies a completely integrable conformally invariant model
in 1+1 dimensions that corresponds to string propagation on the two-dimensional
black hole background (semi-ininite cigar). Besides the two space-time string
fields there is a third (internal) field with a very specific Liouville-type
interac... | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | Adel Bilal |
hep-th/9312104 | The Verlinde Algebra And The Cohomology Of The Grassmannian | The article is devoted to a quantum field theory explanation of the
relationship (noticed some years ago by Gepner) between the Verlinde algebra of
the group $U(k)$ at level $N-k$ and the cohomology of the Grassmannian. The
argument proceeds by starting with the two dimensional sigma model whose target
space is the Gra... | 1993-12-13 | 2009-09-25 | [
"hep-th",
"math.QA"
] | Edward Witten |
hep-th/9312106 | Even and odd coherent states (Schroedinger cat states) for multimode
parametric systems | The multimode even and odd coherent states (multimode Schroedinger cat
states) are constructed for polymode parametric oscillators of the
electromagnetic field. The evolution of the photon distribution function is
evaluated explicitly. The distribution function is expressed in terms of the
multivariable Hermite polynom... | 1993-12-13 | 2009-09-25 | [
"hep-th"
] | V. V. Dodonov, V. I. Man'ko, D. E. Nikonov |
hep-th/9312096 | Quantum cohomology of flag manifolds and Toda lattices | We discuss relations of Vafa's quantum cohomology with Floer's homology
theory, introduce equivariant quantum cohomology, formulate some conjectures
about its general properties and, on the basis of these conjectures, compute
quantum cohomology algebras of the flag manifolds. The answer turns out to
coincide with the a... | 1993-12-13 | 2009-10-22 | [
"hep-th",
"math.AG"
] | Alexander Givental, Bumsig Kim |
hep-th/9312105 | Singularity Theory for W-Algebra Potentials | The Landau potentials of $W_3$-algebra models are analyzed with
algebraic-geometric methods. The number of ground states and the number of
independent perturbations of every potential coincide and can be computed. This
number agrees with the structure of ground states obtained in a previous paper,
namely, as the phase ... | 1993-12-13 | 2008-11-26 | [
"hep-th"
] | Jose Gaite |
hep-th/9312128 | Structure of Multi-Anyon Wavefunctions | Symmetries of multi-anyon wavefunctions are analysed with the help of a
second quantized formulation. Analogues of Slater determinants are constructed.
It is shown that the Pauli principle is not enforced. | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | P. Mitra |
hep-th/9312102 | Functional Integral Approach to the N-Flavor Schwinger Model | We study massless QED_2 with N flavors using path integrals. We identify the
sector that is generated by the N^2 classically conserved vector currents. One
of them (the U(1) current) creates a massive particle, while the others create
massless ones. We show that the mass spectrum obeys a Witten-Veneziano type
formula. ... | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | Christof Gattringer and Erhard Seiler |
hep-th/9312099 | On Integrable Models Related to the $osp(1,2)$ Gaudin Algebra | We define the $osp(1,2)$ Gaudin algebra and consider integrable models
described by it. The models include the $osp(1,2)$ Gaudin magnet and the Dicke
model related to it. Detailed discussion of the simplest cases of these models
is presented. The effect of the presence of fermions on the separation of
variables is indi... | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | T. Brzezinski and A.J. Macfarlane |
hep-th/9312101 | A unified representation-theoretic approach to special functions | A representation-theoretic approach to special functions was developed in the
40-s and 50-s in the works of I.M.Gelfand, M.A.Naimark, N.Ya.Vilenkin, and
their collaborators. The essence of this approach is the fact that most
classical special functions can be obtained as suitable specializations of
matrix elements or c... | 1993-12-13 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Pavel Etingof and Alexander Kirillov Jr |
hep-th/9312100 | Unstable geodesics and topological field theory | A topological field theory is used to study the cohomology of mapping space.
The cohomology is identified with the BRST cohomology realizing the physical
Hilbert space and the coboundary operator given by the calculations of
tunneling between the perturbative vacua. Our method is illustrated by a simple
example. | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | Yukinori Yasui and Satoshi Takahashi |
hep-th/9312107 | Causal Properties of Free String Field Theory | This paper examines the causal structure of the commutator of two string
fields, in free light-cone string field theory. By treating the commutator as a
distribution on infinite dimensional loop space, it is shown that the
commutator vanishes when $\int d\ss (\delta X(\ss))^2 <0$. Of more direct
physical interest is th... | 1993-12-13 | 2009-10-22 | [
"hep-th"
] | D.A. Lowe |
hep-th/9312098 | A coherent state associated with shape-invariant potentials | An algebraic treatment of shape-invariant potentials is discussed. By
introducing an operator which reparametrizes wavefunctions, the
shape-invariance condition can be related to a generalized Heisenberg- Weyl
algebra. It is shown that this makes it possible to define a coherent state
associated with the shape-invarian... | 1993-12-13 | 2007-05-23 | [
"hep-th"
] | T. Fukui and N. Aizawa |
hep-th/9312103 | Macdonald's polynomials and representations of quantum groups | In this paper we present a formula for Macdonald's polynomials for the root
system A(n-1) which arises from the representation theory of quantum sl(n).
This formula expresses Macdonald's polynomials via (weighted) traces of
intertwining operators between certain modules over quantum sl(n). We also
describe the commutat... | 1993-12-13 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Pavel Etingof and Alexander Kirillov Jr |
hep-th/9312095 | Topological-Antitopological Fusion and the Large N CP^N Model | We discuss the large $N$ limit of the supersymmetric $CP^N$ models as an
illustration of Cecotti and Vafa's $tt^*$ formalism. In this limit the `$tt^*$
equation' becomes the long wavelength limit of the $2D$ Toda lattice, an
equation first studied in the context of self-dual gravity. We show how simple
finite temperatu... | 1993-12-12 | 2009-10-22 | [
"hep-th",
"gr-qc"
] | M. Bourdeau and M.R. Douglas |
hep-th/9312092 | Parity Transformation in the Front Form | By considering the parity-transformation properties of the $(1/2,\,0)$ and
$(0,\,1/2)$ fields in the {\it front form} we find ourselves forced to study
the front-form evolution both along $x^+$ and $x^-$ directions. As a by
product, we find that half of the dynamical degrees of freedom of a full theory
live on the $x^+... | 1993-12-11 | 2007-05-23 | [
"hep-th"
] | M. Sawicki and D. V. Ahluwalia |
hep-th/9312091 | (J,0)+(0,j) Representation Space: Majorana-Like Construct | This is second of the two invited lectures presented (by D. V. Ahluwalia) at
the ``XVII International School of Theoretical Physics: Standard Model and
Beyond' 93.'' The text is essentially based on a recent publication by the
present authors [Mod. Phys. Lett. A (in press)]. Here, after briefly reviewing
the $(j,0)\opl... | 1993-12-11 | 2010-05-27 | [
"hep-th"
] | D. V. Ahluwalia, T. Goldman, and M. B. Johnson |
hep-th/9312093 | Geometry of Higgs and Toda Fields on Riemann Surfaces | We discuss geometrical aspects of Higgs systems and Toda field theory in the
framework of the theory of vector bundles on Riemann surfaces of genus greater
than one. We point out how Toda fields can be considered as equivalent to Higgs
systems -- a connection on a vector bundle $E$ together with an
End($E$)--valued one... | 1993-12-11 | 2009-10-22 | [
"hep-th"
] | E.Aldrovandi and G.Falqui |
hep-th/9312094 | Linearized Form of the Generic Affine-Virasoro Action | Halpern and Yamron have given a Lorentz, conformal, and Diff S$_2$-invariant
world-sheet action for the generic irrational conformal field theory, but the
action is highly non-linear. In this paper, we introduce auxiliary fields to
find an equivalent linearized form of the action, which shows in a very clear
way that t... | 1993-12-11 | 2009-10-22 | [
"hep-th"
] | J. de Boer, K. Clubok and M.B. Halpern |
hep-th/9312089 | Space-Time Symmetries: P and CP Violation | We begin with a few remarks on an explicit construction of a
Bargmann-Wightman-Wigner-type quantum field theory [Phys. Lett. B {\bf 316},
102 (1993)] in which bosons and associated antibosons have opposite relative
intrinsic parities. We then construct $(1,0)\oplus(0,1)$ Majorana ($CP$ self
conjugate) and Majorana-like... | 1993-12-11 | 2007-05-23 | [
"hep-th"
] | D. V. Ahluwalia, M. B. Jonnson, and T. Goldman |
hep-th/9312090 | (J,0)+(0,j) Representation Space: Dirac-Like Construct | This is first of the two invited lectures presented (by D. V. Ahluwalia) at
the ``XVII International School of Theoretical Physics: Standard Model and
Beyond' 93.'' The text is essentially based on a recent publication by the
present authors [Phys. Lett. B 316 (1993) 102]. Here we show that the
Dirac-like construct in ... | 1993-12-11 | 2007-05-23 | [
"hep-th"
] | D. V. Ahluwalia, M. B. Johnson and T. Goldman |
hep-th/9312086 | Comultiplication in ABCD algebra and scalar products of Bethe wave
functions | The representation of scalar products of Bethe wave functions in terms of the
Dual Fields, proven by A.G.Izergin and V.E.Korepin in 1987, plays an important
role in the theory of completely integrable models. The proof in
\cite{Izergin87} and \cite{Korepin87} is based on the explicit expression for
the "senior" coeffic... | 1993-12-10 | 2009-10-22 | [
"hep-th"
] | A.Mikhailov |
hep-th/9312087 | Vector supersymmetry of the superstring in the super-Beltrami
parametrization | The vector supersymmetry recently found for the bosonic string is generalized
to superstring theories quantized in the super-Beltrami parametrization. | 1993-12-10 | 2011-04-12 | [
"hep-th"
] | A. Boresch, M. Schweda and S.P. Sorella |
hep-th/9312080 | Functional determinants on spheres and sectors | The scalar functional determinants on sectors of the two-dimensional disc and
spherical cap are determined for arbitrary angles (rational factors of $\pi$).
The wholesphere and hemisphere expressions are also given, in low dimensions,
for both the ordinary and the conformal Laplacian. Comparisons are made with
other wo... | 1993-12-10 | 2009-10-22 | [
"hep-th",
"funct-an",
"math.FA"
] | J.S.Dowker |
hep-th/9312079 | More on $U_q(su(1,1))$ with $q$ a Root of Unity | Highest weight representations of $U_q(su(1,1))$ with $q=\exp \pi i/N$ are
investigated. The structures of the irreducible hieghesat weight modules are
discussed in detail. The Clebsch-Gordan decomposition for the tensor product of
two irreducible representations is discussed. By using the results, a
representation of ... | 1993-12-10 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Takashi Suzuki |
hep-th/9312075 | Quantum Groups, Non-Commutative Differential Geometry and Applications | The topic of this thesis is the development of a versatile and geometrically
motivated differential calculus on non-commutative or quantum spaces, providing
powerful but easy-to-use mathematical tools for applications in physics and
related sciences. A generalization of unitary time evolution is proposed and
studied fo... | 1993-12-10 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Peter Schupp |
hep-th/9312081 | Paragrassmann Algebras with Many Variables | This is a brief review of our recent work attempted at a generalization of
the Grassmann algebra to the paragrassmann ones. The main aim is constructing
an algebraic basis for representing `fractional' symmetries appearing in $2D$
integrable models and also introduced earlier as a natural generalization of
supersymmetr... | 1993-12-10 | 2007-05-23 | [
"hep-th"
] | A.T.Filippov and A.B.Kurdikov |
hep-th/9312082 | Chiral Anomaly at Infinite Temperature | Using the heat kernel regularization we show that the Abelian chiral anomaly
in the limit of infinite temperature it is not a well defined quantity,
contrary to what happens at any finite temperature. We show that there is an
ambiguity in the ordering of the limits of infinite temperature and removal of
the cut-off so ... | 1993-12-10 | 2016-09-06 | [
"hep-th"
] | Henrique Boschi-Filho |
hep-th/9312085 | The General Solution of the 2-D Sigma Model Stringy Black Hole and the
Massless Complex Sine-Gordon Model | The exact general solution for a sigma model having the $2-d$ stringy black
hole (SBH) as internal manifold is found in closed form. We also give the exact
solution for the massless complex Sine-Gordon (MCSG) model. Both, models and
their solutions are related by analytic continuation. The solution is expressed
in term... | 1993-12-10 | 2016-08-14 | [
"hep-th"
] | H.J. de Vega, J. Ram\'irez Mittelbrunn, M. Ram\'on Medrano and N.
S\'anchez |
hep-th/9312078 | Hamilton's Formalism for Systems with Constraints | The main goal of these lectures is to introduce and review the Hamiltonian
formalism for classical constrained systems and in particular gauge theories.
Emphasis is put on the relation between local symmetries and constraints and on
the relation between Lagrangean and Hamiltonian symmetries. | 1993-12-10 | 2009-10-22 | [
"hep-th"
] | Andreas W. Wipf |
hep-th/9312077 | The Weak Scale Measurements Constraints on String Models | The derived modular invariant one-loop string effective coupling constant has
been used to discuss the weak scale measurement constraints on minimal
superstring models, minimal SUSY left-right string models and minimal
left-right SUSY string models. The string intermediate gauge symmetry breaking
models are proposed. T... | 1993-12-10 | 2009-10-22 | [
"hep-th"
] | Rulin Xiu |
hep-th/9312088 | Poisson-Lie group of pseudodifferential symbols | We introduce a Lie bialgebra structure on the central extension of the Lie
algebra of differential operators on the line and the circle (with scalar or
matrix coefficients). This defines a Poisson--Lie structure on the dual group
of pseudodifferential symbols of an arbitrary real (or complex) order. We show
that the us... | 1993-12-10 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Boris Khesin and Ilya Zakharevich |
hep-th/9312083 | Finite Temperature Dilaton Gravity | The dilaton free energy density in external static gravitational field is
found. We use the real time formulation of the finite temperature field theory
and the free energy density is computed to the first order of the string
parameter $\alpha '$. We obtain the thermal corrections to the $\alpha'$
modified Einstein gra... | 1993-12-10 | 2009-10-22 | [
"hep-th"
] | Z. Kopecky |
hep-th/9312074 | Fermions in a Global Monopole Background | We study the scattering of fermions in a ``global monopole'' background
metric. This is the four-dimensional analogue of the scattering on a cone in
three dimensions. The scattering amplitude is exactly obtained. We then study
massless fermion-dyon systems in such a background metric. The density of the
$S$-wave fermio... | 1993-12-10 | 2009-10-22 | [
"hep-th"
] | Hai Ren |
hep-th/9312084 | The Yang--Baxter Symmetry in Field Theory | This is a review on infinite non-abelian symmetries in two-dimensional field
theories. We show how any integrable QFT enjoys the existence of infinitely
many {\bf conserved} charges. These charges {\bf do not commute} between them
and satisfy a Yang--Baxter algebra. They are generated by quantum monodromy
operators and... | 1993-12-10 | 2016-09-06 | [
"hep-th"
] | H. J. de Vega |
hep-th/9312076 | From Quantum Planes to Quantum Groups and back; Cartan Calculus | A Cartan Calculus of Lie derivatives, differential forms, and inner
derivations, based on an undeformed Cartan identity, is constructed. We attempt
a classification of various types of quantum Lie algebras and present a fairly
general example for their construction, utilizing pure braid methods, proving
orthogonality o... | 1993-12-10 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Peter Schupp |
hep-th/9312073 | Cartan Calculus on Quantum Lie Algebras | A generalization of the differential geometry of forms and vector fields to
the case of quantum Lie algebras is given. In an abstract formulation that
incorporates many existing examples of differential geometry on quantum spaces
we combine an exterior derivative, inner derivations, Lie derivatives, forms
and functions... | 1993-12-10 | 2007-05-23 | [
"hep-th"
] | Peter Schupp, Paul Watts and Bruno Zumino |
hep-th/9312072 | Tensor Gauge Potentials in Loop Space Formulation of Yang-Mills Fields | Abstrac: It is shown that an antisymmetric rank-two tensor gauge potential of
the type first found in string and supersymmetry theories occurs also in
ordinary Yang-Mills theory when formulated in loop space, where it appears as a
Lagrange multiplier for a zero curvature constraint necessary and sufficient
for removing... | 1993-12-09 | 2007-05-23 | [
"hep-th"
] | Chan Hong-Mo, J. Faridani and Tsou Sheung Tsun |
hep-th/9312071 | Classical and Quantum Mechanics of Dirac-like Topological Charges in
Yang-Mills Fields | Most nonabelian gauge theories admit the existence of conserved and quantized
topological charges as generalizations of the Dirac monopole. Their
interactions are dictated by topology. In this paper, previous work in deriving
classical equations of motion for these charges is extended to quantized
particles described b... | 1993-12-09 | 2009-09-25 | [
"hep-th"
] | Chan Hong-Mo, J. Faridani and Tsou Sheung Tsun |
hep-th/9312066 | Fermion Currents on Asymmetric Orbifolds | We study whether orbifold models are equivalently rewritten into torus models
in the case of fermionic string theories. It is pointed out that symmetric
orbifold models cannot be rewritten into torus models in the case of fermionic
string theories because of the absence of twist-untwist intertwining currents
on the orb... | 1993-12-09 | 2009-10-22 | [
"hep-th"
] | Toshihiro Sasada |
hep-th/9312065 | Vertex Operator Superalgebras and Their Representations | After giving some definitions for vertex operator SUPERalgebras and their
modules, we construct an associative algebra corresponding to any vertex
operator superalgebra, such that the representations of the vertex operator
algebra are in one-to-one correspondence with those of the corresponding
associative algebra. A w... | 1993-12-09 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Victor G. Kac and Weiqiang Wang |
hep-th/9312068 | Twisted Classical Poincar\'{e} Algebras | We consider the twisting of Hopf structure for classical enveloping algebra
$U(\hat{g})$, where $\hat{g}$ is the inhomogenous rotations algebra, with
explicite formulae given for $D=4$ Poincar\'{e} algebra $(\hat{g}={\cal P}_4).$
The comultiplications of twisted $U^F({\cal P}_4)$ are obtained by conjugating
primitive c... | 1993-12-09 | 2016-08-14 | [
"hep-th"
] | Jerzy Lukierski, Henri Ruegg and Valerij N. Tolstoy (Dept. de Physique
Theorique, Universit\'e de Geneve), Anatol Nowicki (Physikalisches Inst.,
Universit\"at Bonn, Nussallee 12, 53115 Bonn, Germany) |
hep-th/9312064 | Light-Front Quantized Field Theory (Spontaneous symmetry breaking. Phase
transition in scalar field theory.) | The field theory quantized on the {\it light-front} is compared with the
conventional equal-time quantized theory. The arguments based on the {\it
microcausality} principle imply that the light-front field theory may become
nonlocal with respect to the longitudinal coordinate even though the
corresponding equal-time fo... | 1993-12-09 | 2007-05-23 | [
"hep-th"
] | Prem P. Srivastava |
hep-th/9312069 | A modified Schwinger's formula for the Casimir effect | After briefly reviewing how the (proper-time) Schwinger's formula works for
computing the Casimir energy in the case of "scalar electrodynamics" where the
boundary conditions are dictated by two perfectly conducting parallel plates
with separation "a" in the Z-axis, we propose a slightly modification in the
previous ap... | 1993-12-09 | 2015-06-26 | [
"hep-th"
] | M.V. Cougo-Pinto, C. Farina and Antonio J. Segui-Santonja |
hep-th/9312070 | Davey-Stewartson Equation from a Zero Curvature and a Self-Duality
Condition | We derive the two equations of Davey-Stewartson type from a zero curvature
condition associated with SL(2,{\bf R}) in $2+1$ dimensions. We show in general
how a $2+1$ dimensional zero curvature condition can be obtained from the
self-duality condition in $3+3$ dimensions and show in particular how the
Davey-Stewartson ... | 1993-12-09 | 2015-06-26 | [
"hep-th"
] | J.C. Brunelli and Ashok Das |
hep-th/9312062 | Antisymmetric tensor matter fields: an abelian model | We present a simple renormalizable abelian gauge model which includes
antisymmetric second-rank tensor fields as matter fields rather than gauge
fields known for a long time. The free action is conformally rather than gauge
invariant. The quantization of the free fields is analyzed and the one-loop
renormalization-grou... | 1993-12-08 | 2009-10-22 | [
"hep-th"
] | L.V.Avdeev and M.V.Chizhov |
hep-th/9312067 | Comment on 'Anyon in External Elecromagnetic Field: Hamiltonian and
Lagrangian Formulation' | We point out that in a recent paper by Chaichian et al. (Phys.
Rev.Lett71(1993)3405) Dirac quantization procedure is not properly followed as
a result of which the resulting quantum theory is different from what one will
get by a straightforward application of Dirac's formulation. For example at
quantum level the model... | 1993-12-08 | 2007-05-23 | [
"hep-th"
] | Abbas Ali and Avinash Khare |
hep-th/9312057 | Difference equations with elliptic coefficients and quantum affine
algebras | The purpose of this paper is to introduce and study a q-analogue of the
holonomic system of differential equations associated to the Belavin's
classical r-matrix (elliptic r-matrix equations), or, equivalently, to define
an elliptic deformation of the quantum Knizhnik-Zamolodchikov equations of
Frenkel and Reshetikhin.... | 1993-12-08 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Pavel Etingof |
hep-th/9312058 | Kaluza-Klein Black Holes in String Theory | Exact solutions of heterotic string theory corresponding to four-dimensional
magnetic black holes in $N=4$ supergravity are described. The solutions
describe the black holes in the throat limit, and consist of a tensor product
of an $SU(2)$ WZW orbifold with the linear dilaton vacuum, supersymmetrized to
$(1,0)$ world ... | 1993-12-08 | 2014-11-18 | [
"hep-th"
] | William Nelson |
hep-th/9312060 | Analytic Bethe Ansatz and $T$-system in $C^{(1)}_2$ vertex models | Eigenvalues of the commuting family of transfer matrices are expected to obey
the $T$-system, a set of functional relation, proposed recently. Here we obtain
the solution to the $T$-system for $C^{(1)}_2$ vertex models. They are
compatible with the analytic Bethe ansatz and Yang-Baxterize the classical
characters. | 1993-12-08 | 2009-10-22 | [
"hep-th"
] | Atsuo Kuniba |
hep-th/9312061 | Integrals of Motion for Kicked Quantum Systems | The generalised quasienergy states are introduced as eigenstates of the new
integral of motion for periodically and nonperiodically kicked quantum
systems.The photon distribution function of polymode generalised correlated
light expressed in terms of multivariable Hermite polynomials is discussed and
the relation of it... | 1993-12-08 | 2007-05-23 | [
"hep-th"
] | V.I.Man'ko |
hep-th/9312063 | The Negative Dimensional Oscillator at Finite Temperature | We study the thermal behavior of the negative dimensional harmonic oscillator
of Dunne and Halliday that at zero temperature, due to a hidden BRST symmetry
of the classical harmonic oscillator, is shown to be equivalent to the
Grassmann oscillator of Finkelstein and Villasante. At finite temperature we
verify that alth... | 1993-12-08 | 2009-10-22 | [
"hep-th"
] | Silvio J. Rabello, Arvind N. Vaidya and Luiz Claudio M. de Albuquerque |
hep-th/9312059 | Two-Dimensional Gravity and Nonlinear Gauge Theory | We review nonlinear gauge theory and its application to two-dimensional
gravity. We construct a gauge theory based on nonlinear Lie algebras, which is
an extension of the usual gauge theory based on Lie algebras. It is a new
approach to generalization of the gauge theory. The two-dimensional gravity is
derived from non... | 1993-12-08 | 2009-10-22 | [
"hep-th"
] | Noriaki Ikeda |
hep-th/9312051 | SU(2) WZNW Model at Higher Genera from Gauge Field Functional Integral | We compute the gauge field functional integral giving the scalar product of
the SU(2) Chern-Simons theory states on a Riemann surface of genus > 1. The
result allows to express the higher genera partition functions of the SU(2)
WZNW conformal field theory by explicit finite dimensional integrals. Our
calculation may al... | 1993-12-07 | 2008-02-03 | [
"hep-th"
] | Krzysztof Gawedzki |
hep-th/9312047 | String Field Theory of $c\leq 1$ Noncritical Strings | We construct a string field Hamiltonian for a noncritical string theory with
the continuum limit of the Ising model or its generalization as the matter
theory on the worldsheet. It consists of only three string vertices as in the
case for $c=0$. We also discuss a general consistency condition that should be
satisfied b... | 1993-12-07 | 2009-10-22 | [
"hep-th"
] | N.Ishibashi and H.Kawai |
hep-th/9312048 | The Projective Unitary Irreducible Representations of the Galilei Group
in 1+2 Dimensions | We give an elementary analysis of the multiplicator group of the Galilei
group in 1+2 dimensions $G^{\uparrow}_{+}$. For a non-trivial multiplicator we
give a list of all the corresponding projective unitary irreducible
representations of $G^{\uparrow}_{+}$. | 1993-12-07 | 2009-10-22 | [
"hep-th"
] | D. R. Grigore |
hep-th/9312046 | Influence functionals and black body radiation | The Feynman-Vernon formalism is used to obtain a microscopic, quantum
mechanical derivation of black body radiation, for a massless scalar field in
1+1 dimensions, weakly coupled to an environment of finite size. The model
exhibits the absorption, thermal equilibrium, and emission properties of a
canonical black body, ... | 1993-12-07 | 2009-09-25 | [
"hep-th",
"gr-qc"
] | J.R. Anglin |
hep-th/9312056 | Regularization Dependence of the Zero Mode Dynamics in the Schwinger
Model | I compare heatkernel regularization with sharp gauge invariant cutoffs in the
Hamiltonian formulation of the Coulomb gauged Schwinger model on a circle. The
effective potential for the zero mode of the gauge field in a given fermionic
configuration is different in these two regularizations, the difference being
indepen... | 1993-12-07 | 2009-10-22 | [
"hep-th"
] | Klaus Lucke |
hep-th/9312050 | Flat Connections and Non-Local Conserved Quantities in Irrational
Conformal Field Theory | Irrational conformal field theory (ICFT) includes rational conformal field
theory as a small subspace, and the affine-Virasoro Ward identities describe
the biconformal correlators of ICFT. We reformulate the Ward identities as an
equivalent linear partial differential system with flat connections and new
non-local cons... | 1993-12-07 | 2009-10-22 | [
"hep-th"
] | M.B. Halpern and N.A. Obers |
hep-th/9312053 | On the Zero-Slope Limit of the Compactified Closed Bosonic String | In the framework of the compactified closed bosonic string theory with the
extra spatial coordinates being circular with radius $R$, we perform both the
zero-slope limit and the $R \rightarrow 0$ limit of the tree scattering
amplitude of four massless scalar particles. We explicitly show that this
double limit leads to... | 1993-12-07 | 2010-11-01 | [
"hep-th"
] | Raffaele Marotta and Franco Pezzella |
hep-th/9312049 | A Class of W-Algebras with Infinitely Generated Classical Limit | There is a relatively well understood class of deformable W-algebras,
resulting from Drinfeld-Sokolov (DS) type reductions of Kac-Moody algebras,
which are Poisson bracket algebras based on finitely, freely generated rings of
differential polynomials in the classical limit. The purpose of this paper is
to point out the... | 1993-12-07 | 2009-10-22 | [
"hep-th"
] | J. de Boer, L. Feher, A. Honecker |
hep-th/9312055 | Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum
Electrodynamics in Arbitrary Dimensions | We present a detailed evaluation of $\eta$, the critical exponent
corresponding to the electron anomalous dimension, at $O(1/N^2_{\!f})$ in a
large flavour expansion of QED in arbitrary dimensions in the Landau gauge. The
method involves solving the skeleton Dyson equations with dressed propagators
in the critical regi... | 1993-12-07 | 2009-10-22 | [
"hep-th"
] | J.A. Gracey |
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