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hep-th/9410031
Path Integral Solubility of a General Two-Dimensional Model
The solubility of a general two dimensional model, which reduces to various models in different limits, is studied within the path integral formalism. Various subtleties and interesting features are pointed out.
1994-10-05
2009-10-28
[ "hep-th" ]
Ashok Das and Marcelo Hott
hep-th/9410029
Conformal Field Theories, Representations and Lattice Constructions
An account is given of the structure and representations of chiral bosonic meromorphic conformal field theories (CFT's), and, in particular, the conditions under which such a CFT may be extended by a representation to form a new theory. This general approach is illustrated by considering the untwisted and $Z_2$-twisted...
1994-10-05
2010-11-15
[ "hep-th" ]
L. Dolan, P. Goddard and P. Montague
hep-th/9410015
Continuum Annulus Amplitude from the Two-Matrix Model
An explicit expression for continuum annulus amplitudes having boundary lengths $\ell_{1}$ and $\ell_{2}$ is obtained from the two-matrix model for the case of the unitary series; $(p,q) = (m + 1, m)$. In the limit of vanishing cosmological constant, we find an integral representation of these amplitudes which is repro...
1994-10-05
2009-10-28
[ "hep-th" ]
M. Anazawa, A. Ishikawa and H. Itoyama
hep-th/9410033
Lattice models and generalized Rogers Ramanujan identities
We revisit the solvable lattice models described by Andrews Baxter and Forrester and their generalizations. The expressions for the local state probabilities were shown to be related to characters of the minimal models. We recompute these local state probabilities by a different method. This yields generalized Rogers R...
1994-10-05
2009-10-28
[ "hep-th" ]
Doron Gepner (Caltech)
hep-th/9410028
Manifestations of Quantum Gravityin Scalar QED Phenomena
Quantum gravitational corrections to the effective potential, at one-loop level and in the leading-log approximation, for scalar quantum electrodynamics with higher-derivative gravity ---which is taken as an effective theory for quantum gravity (QG)--- are calculated. We point out the appearence of relevant phenomena c...
1994-10-05
2009-09-25
[ "hep-th" ]
Emilio Elizalde, Sergei D. Odintsov and August Romeo
hep-th/9410027
New Examples for Wightman Fields on a Manifold
The product of two free scalar fields on a manifold is shown to be a well defined operator valued distribution on the GNS Hilbert space of a globally Hadamard product state. Viewed as a new field all n-point distributions exist, giving a new example for a Wightman field on a manifold.
1994-10-05
2010-04-06
[ "hep-th" ]
Martin Koehler
hep-th/9410032
Heat Kernel and Scaling of Gravitational Constants
We consider the non-local energy-momentum tensor of quantum scalar and spinor fields in $2 w$-dimensional curved spaces. Working to lowest order in the curvature we show that, while the non-local terms proportional to $\Box {\cal R}$, $\Box \Box{\cal R}$, $\ldots, \Box^{w-2} {\cal R}$ are fully determined by the early-...
1994-10-05
2011-07-19
[ "hep-th" ]
D.A.R. Dalvit and F.D. Mazzitelli
hep-th/9410025
Dissipative Quantum Mechanics: The Generalization of the Canonical Quantization and von Neumann Equation
The dissipative models in string theory can have more broad range of application: 1) Noncritical strings are dissipative systems in the "coupling constant" phase space. 2) Bosonic string in the affine-metric curved space is dissipative system. But the quantum descriptions of the dissipative systems have well known am...
1994-10-05
2008-02-03
[ "hep-th", "cond-mat" ]
Vasily E. Tarasov
hep-th/9410023
CP in Orbifold Models
We study CP in orbifold models. It is found that the orbifolds always have some automorphisms as CP symmetry. The symmetries are restricted non-trivially due to geometrical structure of the orbifolds. Explicit analysis on Yukawa couplings also shows that CP is not violated in orbifold models.
1994-10-05
2010-11-01
[ "hep-th" ]
T.Kobayashi and C.S.Lim
hep-th/9410030
Black holes, the Wheeler-DeWitt equation and the semi-classical approximation
The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. Because of small quantum fluctuations in the mass of the black hole, the usual approximation of treating the gravitational field as a classical background on which matter is quantized, breaks down near th...
1994-10-05
2007-05-23
[ "hep-th", "gr-qc" ]
Miguel E. Ortiz
hep-th/9410026
Integrable boundary conditions for classical sine-Gordon theory
The possible boundary conditions consistent with the integrability of the classical sine-Gordon equation are studied. A boundary value problem on the half-line $x\leq 0$ with local boundary condition at the origin is considered. The most general form of this boundary condition is found such that the problem be integrab...
1994-10-05
2009-10-28
[ "hep-th" ]
A. MacIntyre
hep-th/9410019
Horizon Condition Holds Pointwise on Finite Lattice with Free Boundary Conditions
It is proven that the "horizon condition", which was found to characterize the fundamental modular region in continuum theory and the thermodynamic limit of gauge theory on a periodic lattice, holds for every (transverse) configuration on a finite lattice with free boundary conditions.
1994-10-04
2007-05-23
[ "hep-th", "hep-lat" ]
M.Schaden and D.Zwanziger
hep-th/9410018
Untwisted Moduli and Internal Fermions in Free Fermionic Strings
We investigate the dependence of the number and type of untwisted moduli on the boundary condition vectors of relistic free fermionic strings. The number of moduli is given by six minus the number of complex internal world--sheet fermions and the type of moduli is determined by the details of the world--sheet left--rig...
1994-10-04
2009-10-28
[ "hep-th" ]
Edi Halyo
hep-th/9410014
Why Don't We Have a Covariant Superstring Field Theory?
This talk deals with the old problem of formulatingn a covariant quantum theory of superstrings, ``covariant'' here meaning having manifest Lorentz symmetry and supersymmetry. The advantages and disadvantages of several quantization methods are reviewed. Special emphasis is put on the approaches using twistorial variab...
1994-10-04
2015-06-26
[ "hep-th" ]
Martin Cederwall
hep-th/9410017
Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms
In a Fock representation, a non-surjective Bogoliubov transformation of CAR leads to a reducible representation. For the case that the corresponding Bogoliubov operator has finite corank, the decomposition into irreducible subrepresentations is clarified. In particular, it turns out that the number of appearing subrepr...
1994-10-04
2016-08-14
[ "hep-th" ]
Jens B\"ockenhauer
hep-th/9410020
Supersymmetric Berry Index
We revise the sequences of SUSY for a cyclic adiabatic evolution governed by the supersymmetric quantum mechanical Hamiltonian. The condition (supersymmetric adiabatic evolution) under which the supersymmetric reductions of Berry (nondegenerated case) or Wilczek-Zee (degenerated case) phases of superpartners are taking...
1994-10-04
2007-05-23
[ "hep-th" ]
K.N.Ilinski, G.V.Kalinin, V.V.Melezhik
hep-th/9410022
Minimal Affinizations of Representations of Quantum Groups: the rank 2 case
We define the notion of a minimal affinization of an irreducible representation of $U_q(g)$. We prove that minimal affinizations exist and establish their uniqueness in the rank 2 case.
1994-10-04
2007-05-23
[ "hep-th" ]
V. Chari
hep-th/9410016
Schwinger Terms and Cohomology of Pseudodifferential Operators
We study the cohomology of the Schwinger term arising in second quantization of the class of observables belonging to the restricted general linear algebra. We prove that, for all pseudodifferential operators in 3+1 dimensions of this type, the Schwinger term is equivalent to the ``twisted'' Radul cocycle, a modified v...
1994-10-04
2010-11-01
[ "hep-th", "funct-an", "math.FA" ]
Martin Cederwall, Gabriele Ferretti, Bengt E.W. Nilsson and Anders Westerberg
hep-th/9410021
On the Bosonization of $L$-Operators for Quantum Affine Algebra $U_q(sl_2)$
Some relations between different objects associated with quantum affine algebras are reviewed. It is shown that the Frenkel-Jing bosonization of a new realization of quantum affine algebra $\Uqa$ as well as bosonization of $L$-operators for this algebra can be obtained from Zamolodchikov-Faddeev algebras defined by the...
1994-10-04
2011-04-15
[ "hep-th" ]
S. Pakuliak
hep-th/9410013
W-Algebras of Negative Rank
Recently it has been discovered that the W-algebras (orbifold of) WD_n can be defined even for negative integers n by an analytic continuation of their coupling constants. In this letter we shall argue that also the algebras WA_{-n-1} can be defined and are finitely generated. In addition, we show that a surprising con...
1994-10-04
2009-10-28
[ "hep-th" ]
K. Hornfeck
hep-th/9410010
Galois Modular Invariants of WZW Models
The set of modular invariants that can be obtained from Galois transformations is investigated systematically for WZW models. It is shown that a large subset of Galois modular invariants coincides with simple current invariants. For algebras of type B and D infinite series of previously unknown exceptional automorphism...
1994-10-03
2009-10-28
[ "hep-th" ]
J. Fuchs, A. N. Schellekens, and C. Schweigert
hep-th/9410024
Supergravity before 1976
A story on how an attempt to realize W. Heizenberg idea that the neutrino might be a Goldstone particle had led in its development to the discovery of supergravity action.
1994-10-03
2007-05-23
[ "hep-th" ]
Dmitrij V. Volkov
hep-th/9410004
Lattice QCD as a theory of interacting surfaces
Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an appearance of a set of surfaces filling the volume and gives an exact expression for functional of their boundaries. The interaction between each two surfaces is proportional to thei...
1994-10-03
2009-10-28
[ "hep-th" ]
B.Rusakov
hep-th/9410009
Conjugacy classes of involutive automorphisms of the $C_{\ell}^{(1)}$ affine Kac-Moody algebras
The conjugacy classes of the involutive automorphisms of the affine Kac-Moody algebras \Cli\ for $\ell\geq 2$ are determined using the matrix formulation of automorphisms of an affine Kac-Moody algebra.
1994-10-03
2008-02-03
[ "hep-th", "math.QA" ]
S. P. Clarke and J. F. Cornwell
hep-th/9409200
ADDENDUM to the papers on the Weinberg Theory
The Weinberg-Tucker-Hammer equations are shown to substitute the common-used $j=1$ massless equations. Meantime, the old equations preserve their significance as a particular case. Possible consequences are discussed.
1994-10-03
2007-05-23
[ "hep-th" ]
Valeri V. Dvoeglazov (Zacatecas University, M\'exico)
hep-th/9410007
Renormalizability of semiquantized fields
A definition is given, in the framework of stochastic quantization, for the dynamics of a system composed of classical and quantum degrees of freedom mutually interacting. It is found that the theory breaks reflection positivity, and hence it is unphysical. The Feynman rules for the Euclidean vacuum expectation values ...
1994-10-03
2008-02-03
[ "hep-th" ]
L.L. Salcedo
hep-th/9410003
Topological Dilatonic Supergravity Theories
We present a central extension of the $(m,n)$ super-Poincar\'e algebra in two dimensions. Besides the usual Poincar\'e generators and the $(m,n)$ supersymmetry generators we have $(m,n)$ Grassmann generators, a bosonic internal symmetry generator and a central charge. We then build up the topological gauge theory assoc...
1994-10-03
2010-04-06
[ "hep-th" ]
M.M.Leite and V.O.Rivelles
hep-th/9410002
Application of Non-Bijective Transformations to Various Potentials
Some results about non-bijective quadratic transformations generalizing the Kustaanheimo-Stiefel and the Levi-Civita transformations are reviewed in \S 1. The three remaining sections are devoted to new results: \S 2 deals with the Lie algebras under constraints associated to some Hurwitz transformations; \S 3 and \S 4...
1994-10-03
2007-05-23
[ "hep-th" ]
M. Kibler
hep-th/9410005
Quantising Higher-spin String Theories
In this paper, we examine the conditions under which a higher-spin string theory can be quantised. The quantisability is crucially dependent on the way in which the matter currents are realised at the classical level. In particular, we construct classical realisations for the $W_{2,s}$ algebra, which is generated by a ...
1994-10-03
2009-10-07
[ "hep-th" ]
H. Lu, C.N. Pope, K. Thielemans, X.J. Wang and K.-W. Xu
hep-th/9410008
Black holes and exact solutions in string theory
We review some recent results about exact classical solutions in string theory. In particular, we consider four dimensional extremal electric black holes which are related via dimensional reduction to the exact five dimensional fundamental string solutions. We also comment on the issue of \a' corrections to non-extrema...
1994-10-03
2007-05-23
[ "hep-th" ]
A.A. Tseytlin
hep-th/9410006
A Superstring Theory in 2+2 Dimensions
In this paper we construct a $(2,2)$ dimensional string theory with manifest $N=1$ spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The worldsheet symmetry algebra is a twisted and truncated ``small'' $N=4$ superconfor...
1994-10-03
2007-05-23
[ "hep-th" ]
Z. Khviengia, H. Lu, C.N. Pope, E. Sezgin, X.J. Wang and K.W. Xu
hep-th/9410011
Theory of K\"ahler Gravity
In this paper we discuss the connection on a space of $N=2$ TCFT's that appears in the context of background (in)dependence. We formulate a family of {\it target space field theories} with a similar connection on it. Each theory is a gauge theory (with the gauge group being ${\cal SD}iff $ in the case of $3$-fold). It ...
1994-10-03
2015-06-26
[ "hep-th" ]
Michael Bershadsky and Vladimir Sadov
hep-th/9410012
The Collective Field Theory of a Singular Supersymmetric Matrix Model
The supersymmetric collective field theory with the potential $v'(x)=\omega x-{\eta\over x}$ is studied, motivated by the matrix model proposed by Jevicki and Yoneya to describe two dimensional string theory in a black hole background. Consistency with supersymmetry enforces a two band solution. A supersymmetric classi...
1994-10-03
2009-10-28
[ "hep-th" ]
Robert de Mello Koch and Jo\~ao P. Rodrigues
hep-th/9410001
Persistent supercurrents in a planar non-relativistic chiral fluid
We study the possible stationary persistent supercurrents flowing on a cylindrical sample supporting a two-dimensional charged fluid. The internal dynamics of the fluid is obtained by means of an effective theory in which the fluid self-interacts through a $U(1)$ gauge field. We find that the presence of persistent sup...
1994-10-03
2009-10-28
[ "hep-th", "cond-mat" ]
Pietro Donatis, Roberto Iengo (Sissa Trieste)
hep-th/9409199
Dual versions of N=2 supergravity and spontaneous supersymmetry breaking
In this paper, using a model of N=2 supergravity - vector multiplets interaction with the scalar field geometry $SU(1,m)/SU(m)\otimes U(1)$ as an example, we show that even when the geometry is fixed one can have a whole family of the Lagrangians that differ by the vector field duality transformations. As a byproduct, ...
1994-10-01
2010-04-06
[ "hep-th" ]
Yu.M.Zinoviev
hep-th/9409198
Chiral gauge theory in four dimensions
A formulation of abelian and non-abelian chiral gauge theories is presented together with arguments for the unitarity and renormalisability in four dimensions. IASSNS-HEP-94/70, UM-P-94/96, and RCHEP-94/26.
1994-10-01
2007-05-23
[ "hep-th", "hep-ph" ]
Tien D Kieu
hep-th/9409195
The Nature of Space and Time
Three illustrated lectures given by Stephen Hawking as part of a series of six lectures with Roger Penrose on the nature of space and time sponsored by Princeton University Press.
1994-09-30
2007-05-23
[ "hep-th" ]
S.W.Hawking
hep-th/9409192
Distributive Laws and the Koszulness
We study algebras with a distributive law and the Koszulness of associated operads. As a corollary of our theory we prove that the homology operad of the little cubes operad is Koszul, the result which was originally proven by E. Getzler and J.D.S. Jones in their preprint "Operads, homotopy algebra, and iterated integr...
1994-09-30
2007-05-23
[ "hep-th" ]
Martin Markl
hep-th/9409189
Event-Enhanced Quantum Theory And Piecewise Deterministic Dynamics
The standard formalism of quantum theory is enhanced and definite meaning is given to the concepts of experiment, measurement and event. Within this approach one obtains a uniquely defined piecewise deterministic algorithm generating quantum jumps, classical events and histories of single quantum objects. The wave-func...
1994-09-30
2011-08-17
[ "hep-th", "cond-mat", "gr-qc" ]
Ph. Blanchard and A. Jadczyk
hep-th/9409197
Large Nonlinear $W_{\infty}$ Algebras from Nonlinear Integrable Deformations of Self Dual Gravity
A proposal for constructing a universal nonlinear ${\hat W}_{\infty}$ algebra is made as the symmetry algebra of a rotational Killing-symmetry reduction of the nonlinear perturbations of Moyal-Integrable deformations of $D=4$ Self Dual Gravity (IDSDG). This is attained upon the construction of a nonlinear bracket based...
1994-09-30
2009-10-28
[ "hep-th" ]
Carlos Castro (I.A.E.C 1407 Alegria,Austin, Texas USA)
hep-th/9409191
Collective-Field Excitations in the Calogero Model
We consider the large-N Calogero model in the \h\ collective-field approach based on the $1/N$ expansion. The Bogomol'nyi limit appears and the corresponding equation for the semiclassical configuration gives the correct ground-state energy. Using the method of the orthogonal polynomial we find the excitation spectrum ...
1994-09-30
2008-02-03
[ "hep-th" ]
I. Andri\'c, V. Bardek and L. Jonke
hep-th/9409196
Transformations Generalizing the Levi-Civita, Kustaanheimo-Stiefel, and Fock Transformations
Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in tw...
1994-09-30
2007-05-23
[ "hep-th" ]
M. Kibler and P. Labastie
hep-th/9409193
Hamilton Formalism in Non-Commutative Geometry
We study the Hamilton formalism for Connes-Lott models, i.e., for Yang-Mills theory in non-commutative geometry. The starting point is an associative $*$-algebra $\cA$ which is of the form $\cA=C(I,\cAs)$ where $\cAs$ is itself a associative $*$-algebra. With an appropriate choice of a k-cycle over $\cA$ it is possible...
1994-09-30
2015-06-26
[ "hep-th" ]
W. Kalau
hep-th/9409190
Quantum Deformations of $\tau$-functions, Bilinear Identities and Representation Theory
This paper is a brief review of recent results on the concept of ``generalized $\tau$-function'', defined as a generating function of all the matrix elements in a given highest-weight representation of a universal enveloping algebra ${\cal G}$. Despite the differences from the particular case of conventional $\tau$-fun...
1994-09-30
2020-01-01
[ "hep-th", "nlin.SI", "solv-int" ]
A.Mironov
hep-th/9409194
A Coherent State Path Integral for Anyons
We derive an $su(1,1)$ coherent state path integral formula for a system of two one-dimensional anyons in a harmonic potential. By a change of variables we transform this integral into a coherent states path integral for a harmonic oscillator with a shifted energy. The shift is the same as the one obtained for anyons b...
1994-09-30
2015-06-26
[ "hep-th" ]
J. Grundberg and T. H. Hansson
hep-th/9409188
On Orbifolds with Discrete Torsion
We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain ``stringy regions'' that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these mo...
1994-09-29
2010-04-07
[ "hep-th", "math.AG", "math.DG" ]
Cumrun Vafa and Edward Witten
hep-th/9409184
Cyclic Permutations in Kazama-Suzuki String Models
Moddings by cyclic permutation symmetries are performed in 4-dimensional strings, built up from N=2 coset models of the type $CP_m=SU(m+1)/SU(m)\times U(1)$. For some exemplifying cases, the massless chiral and antichiral states of $E_6$ are computed. The extent of the equivalence between different conformal invariant ...
1994-09-29
2009-03-27
[ "hep-th" ]
G. Aldazabal, I. Allekotte, E. Andres and Carmen Nunez
hep-th/9409182
Skyrme Crystal from a Twisted Instanton on a Four-Torus
We describe how an approximation to the minimal energy Skyrme crystal can be obtained from the holonomy of a Yang-Mills instanton. The appropriate instanton is twisted on a four-torus and has instanton number equal to one half. It generates a Skyrme field with the correct topological and symmetry properties of the crys...
1994-09-29
2009-10-28
[ "hep-th" ]
Nick Manton and Paul Sutcliffe
hep-th/9409187
New Pseudoclassical model for Weyl particles
A new pseudoclassical model to describe Weyl particles is proposed. Different ways of its quantization are presented. They all lead to the theory of Weyl particle; namely, the massless Dirac equation and the Weyl condition are reproduced. In contrast with models discussed previously, this one admits both the Dirac quan...
1994-09-29
2010-11-01
[ "hep-th" ]
D. M. Gitman, A. E. Goncalves and I. V. Tyutin
hep-th/9409180
Generalized Quon Statistics
Generalized quons interpolating between Bose, Fermi, para-Bose, para-Fermi, and anyonic statistics are proposed. They follow from the R-matrix approach to deformed associative algebras. It is proved that generalized quons have the same main properties as quons. A new result for the number operator is presented and some...
1994-09-29
2015-06-26
[ "hep-th" ]
Stjepan Meljanac and Ante Perica
hep-th/9409181
Kink Chains from Instantons on a Torus
We describe how the procedure of calculating approximate solitons from instanton holonomies may be extended to the case of soliton crystals. It is shown how sine-Gordon kink chains may be obtained from CP1 instantons on a torus. These kink chains turn out to be remarkably accurate approximations to the true solutions. ...
1994-09-29
2009-10-28
[ "hep-th" ]
Paul Sutcliffe
hep-th/9409185
A Remark on the Instability of the Bartnik-McKinnon Solutions
The aim of the present letter is to critically review the stability of the Bartnik-McKinnon solutions of the Einstein-Yang-Mills theory. The stability question was already studied by several authors, but there seems to be some confusion about the nature and the number of unstable modes. We suggest to distinguish two di...
1994-09-29
2010-11-01
[ "hep-th" ]
George Lavrelashvili and Dieter Maison
hep-th/9409186
On realizing the bosonic string as a noncritical $W_3$-string
We discuss a realization of the bosonic string as a noncritical $W_3$-string. The relevant noncritical $W_3$-string is characterized by a Liouville sector which is restricted to a (non-unitary) $(3,2)$ $W_3$ minimal model with central charge contribution $c_l = - 2$. Furthermore, the matter sector of this $W_3$-string ...
1994-09-29
2009-10-28
[ "hep-th" ]
E. Bergshoeff, H.J. Boonstra and M. de Roo
hep-th/9409179
A Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry
A large class of solvable models of dilaton gravity in two space-time dimensions, capable of describing black hole geometry, are analyzed in a unified way as non-linear sigma models possessing a special symmetry. This symmetry, which can be neatly formulated in the target-space-covariant manner, allows one to decompose...
1994-09-29
2011-07-19
[ "hep-th" ]
Y. Kazama, Y. Satoh and A. Tsuchiya
hep-th/9409183
Batalin-Tyutin Quantization of the Self-Dual Massive Theory in Three Dimensions
We quantize the self-dual massive theory by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class one in the extended phase space by introducing the new fields. Through this analysis we obtain simultaneously the St\"uckelberg scalar term related to the ...
1994-09-29
2009-10-28
[ "hep-th" ]
Yong-Wan Kim, Young-Jai Park, Kee Yong Kim and Yongduk Kim
hep-th/9409171
Ultramicro Black Holes and Finiteness of the Electromagnetic Contribution to the Electron Mass
It is argued that the nonintegrably singular energy density of the electron's electromagnetic field (in both the classical point-charge model and quantum electrodynamics) must entail very strong self-gravitational effects, which, via black hole phenomena at finite radii, could well cut off the otherwise infinite electr...
1994-09-28
2009-09-25
[ "hep-th", "gr-qc", "nucl-th" ]
S. K. Kauffmann
hep-th/9409176
Solving 1d plasmas and 2d boundary problems using Jack polynomials and functional relations
The general one-dimensional ``log-sine'' gas is defined by restricting the positive and negative charges of a two-dimensional Coulomb gas to live on a circle. Depending on charge constraints, this problem is equivalent to different boundary field theories. We study the electrically neutral case, which is equivalent to ...
1994-09-28
2008-11-26
[ "hep-th", "cond-mat" ]
P. Fendley, F. Lesage and H. Saleur
hep-th/9409178
Construction of Yangian algebra through a multi-deformation parameter dependent rational $R$-matrix
Yang-Baxterising a braid group representation associated with multideformed version of $GL_{q}(N)$ quantum group and taking the corresponding $q\rightarrow 1$ limit, we obtain a rational $R$-matrix which depends on $\left ( 1+ {N(N-1) \over 2} \right ) $ number of deformation parameters. By using such rational $R$-matr...
1994-09-28
2016-09-06
[ "hep-th" ]
B. Basu-Mallick and P. Ramadevi
hep-th/9409170
Excitation Spectrum and Correlation Functions of the Z_3-Chiral Potts Quantum Spin Chain
We study the excitation spectrum and the correlation functions of the Z_3- chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We are mainly interested in results for general chiral angles but we consider also the superintegrable case. For the parameter ...
1994-09-28
2009-10-28
[ "hep-th", "cond-mat", "hep-lat" ]
A. Honecker and G. von Gehlen
hep-th/9409175
Kahler spinning particles
We construct the U(N) spinning particle theories, which describe particles moving on Kahler spaces. These particles have the same relation to the N=2 string as usual spinning particles have to the NSR string. We find the restrictions on the target space of the theories coming from supersymmetry and from global anomalie...
1994-09-28
2008-11-26
[ "hep-th" ]
Neil Marcus
hep-th/9409173
Accuracy of the Semi--Classical Approximation: the Pullen Edmonds Hamiltonian
A test on the numerical accuracy of the semiclassical approximation as a function of the principal quantum number has been performed for the Pullen--Edmonds model, a two--dimensional, non--integrable, scaling invariant perturbation of the resonant harmonic oscillator. A perturbative interpretation is obtained of the re...
1994-09-28
2009-09-25
[ "hep-th" ]
S. Graffi, V.R. Manfredi, L. Salasnich
hep-th/9409177
Stringy Twists of the Taub--Nut Metric
In the low-energy limit, string theory has two remarkable symmetries, O(d,d+p) and SL(2,R). We illustrate the use of these transformations as techniques to generate new solutions by applying them to the Taub--NUT metric.
1994-09-28
2007-05-23
[ "hep-th" ]
Clifford V. Johnson and Robert C. Myers
hep-th/9409172
Non-commutative geometry and covariance: from the quantum plane to the quantum tensors
Reflection and braid equations for rank two $q$-tensors are derived from the covariance properties of quantum vectors by using the $R$-matrix formalism.
1994-09-28
2009-10-28
[ "hep-th" ]
J.A. de Azcarraga, P.P. Kulish, F. Rodenas
hep-th/9409174
No $Z_N$ - bubbles in hot Yang-Mills theory
Pure Yang-Mills theory at high temperature is considered. We show that no distinct $Z_N$- phases separated by domain walls do exist in the physical Minkowski space. That means the absense of the spontaneous breaking of $Z_N$- symmetry in the physical meaning of this word.
1994-09-28
2007-05-23
[ "hep-th" ]
A.V.Smilga
hep-th/9409168
On the Nonperturbative Consistency of $d=2$ String Theory
An infinite number of distinct $d=1$ matrix models reproduce the perturbation theory of $d=2$ string theory. Due to constraints of causality, however, we argue that none of the existing constructions gives a consistent nonperturbative definition of the $d=2$ string.
1994-09-27
2009-10-09
[ "hep-th" ]
Joseph Polchinski
hep-th/9409166
Grassmannian Sigma Models and Topological-Antitopological Fusion
We study the topological-antitopological fusion equations for supersymmetric sigma models on Grassmannian manifolds G(k,N). We find a basis in which the metric becomes diagonal and the $tt^*$ equations become tractable. The solution for the metric of G(k,N) can then be described in terms of the metric for the $CP^{N-1}...
1994-09-27
2009-10-28
[ "hep-th" ]
Michele Bourdeau
hep-th/9409161
On the Hopf structure of $U_{p,q}(gl(1|1))$ and the universal ${\cal T}$-matrix of $Fun_{p,q}(GL(1|1))$
Using the technique developed by Fronsdal and Galindo (Lett. Math. Phys. 27 (1993) 57) for studying the Hopf duality between the quantum algebras $Fun_{p,q}(GL(2))$ and $U_{p,q}(gl(2))$, the Hopf structure of $U_{p,q}(gl(1|1))$, dual to $Fun_{p,q}(GL(1|1))$, is derived and the corresponding universal ${\cal T}$-matrix ...
1994-09-27
2008-02-03
[ "hep-th", "math.QA" ]
R. Chakrabarti (Univ. Madras) and R. Jagannathan (IMS, Madras)
hep-th/9409162
Stochastic Calculus and Anticommuting Variables
A theory of integration for anticommuting paths is described. This is combined with standard It\^o calculus to give a geometric theory of Brownian paths on curved supermanifolds. (Invited lecture given at meeting on `Espaces de Lacets', Institut de Recherche Math\'ematique Advanc\'ee, Universit\'e Louis Pasteur, Strasb...
1994-09-27
2007-05-23
[ "hep-th" ]
Alice Rogers
hep-th/9409163
On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations
The deformed algebra $\cal{A(R)}$, depending upon a Yang-Baxter R- matrix, is considered. The conditions under which the algebra is associative are discussed for a general number of oscillators. Four types of solutions satisfying these conditions are constructed and two of them can be represented by generalized Jordan-...
1994-09-27
2019-08-17
[ "hep-th" ]
S.Meljanac, M.Milekovic and A.Perica
hep-th/9409157
Large N Renormalization Group Approach to Matrix Models
We summarize our recent results on the large N renormalization group (RG) approach to matrix models for discretized two-dimensional quantum gravity. We derive exact RG equations by solving the reparametrization identities, which reduce infinitely many induced interactions to a finite number of them. We find a nonlinear...
1994-09-27
2007-05-23
[ "hep-th" ]
S.Higuchi, C.Itoi, S.Nishigaki and N.Sakai
hep-th/9409165
Characterizing Invariants for Local Extensions of Current Algebras
Pairs $\aa \subset \bb$ of local quantum field theories are studied, where $\aa$ is a chiral conformal \qft and $\bb$ is a local extension, either chiral or two-dimensional. The local correlation functions of fields from $\bb$ have an expansion with respect to $\aa$ into \cfb s, which are non-local in general. Two meth...
1994-09-27
2015-06-26
[ "hep-th" ]
K.-H.Rehren, Ya.S.Stanev, I.T.Todorov
hep-th/9409158
Quantum Corrections to Black Hole Entropy in String Theory
The one-loop contribution to the entropy of a black hole from field modes near the horizon is computed in string theory. It is modular invariant and ultraviolet finite. There is an infrared divergence that signifies an instability near the event horizon of the black hole. It is due to the exponential growth of the dens...
1994-09-27
2009-10-28
[ "hep-th", "gr-qc" ]
Atish Dabholkar
hep-th/9409164
Quantum Mechanics for the Swimming of Micro-Organism in Two Dimensions
In two dimensional fluid, there are only two classes of swimming ways of micro-organisms, {\it i.e.}, ciliated and flagellated motions. Towards understanding of this fact, we analyze the swimming problem by using $w_{1+\infty}$ and/or $W_{1+\infty}$ algebras. In the study of the relationship between these two algebras,...
1994-09-27
2009-10-28
[ "hep-th" ]
Shin'ichi Nojiri, Masako Kawamura and Akio Sugamoto
hep-th/9409160
Self-Dual Gravity Revisited
Reconsidering the harmonic space description of the self-dual Einstein equations, we streamline the proof that all self-dual pure gravitational fields allow a local description in terms of an unconstrained analytic prepotential in harmonic space. Our formulation yields a simple recipe for constructing self-dual metrics...
1994-09-27
2009-10-28
[ "hep-th", "gr-qc" ]
Ch. Devchand and V. Ogievetsky
hep-th/9409167
State-Sum Invariants of 4-Manifolds I
We provide, with proofs, a complete description of the authors' construction of state-sum invariants announced in [CY], and its generalization to an arbitrary (artinian) semisimple tortile category. We also discuss the relationship of these invariants to generalizations of Broda's surgery invariants [Br1,Br2] using tec...
1994-09-27
2008-02-03
[ "hep-th", "math.QA" ]
Louis Crane, Louis H. Kauffman, David N. Yetter
hep-th/9409159
Hamiltonian Field Systems on Composite Manifolds
The multimomentum Hamiltonian formalism is applied to field systems represented by sections of composite manifolds $Y\to\Si\to X$ where sections of $\Si\to X$ are parameter fields, e.g., Higgs fields and gravitational fields. Their values play the role of coordinate parameters, besides the world coordinates.
1994-09-27
2007-05-23
[ "hep-th" ]
G.Sardanashvily
hep-th/9409169
Anyons in Electromagnetic Field and the BMT Equation
The Lagrangian model for anyon, presented in [6], is extended to include interactions with external, homogeneous electromagnetic field. Explicit electric and magnetic moment terms for the anyon are introduced in the Lagrangian. The 2+1-dimensional BMT equation as well as the correct value (2) of the gyromagnetic ratio ...
1994-09-27
2014-11-18
[ "hep-th" ]
Subir Ghosh
hep-th/9409150
The prime factorization property of entangled quantum states
Completely entangled quantum states are shown to factorize into tensor products of entangled states whose dimensions are powers of prime numbers. The entangled states of each prime-power dimension transform among themselves under a finite Heisenberg group. We are thus led to examine processes in which factors are excha...
1994-09-26
2007-05-23
[ "hep-th" ]
Daniel I. Fivel
hep-th/9409156
Unitarity of Quantum Theory and Closed Time-Like Curves
Interacting quantum fields on spacetimes containing regions of closed timelike curves (CTCs) are subject to a non-unitary evolution $X$. Recently, a prescription has been proposed, which restores unitarity of the evolution by modifying the inner product on the final Hilbert space. We give a rigorous description of this...
1994-09-26
2008-11-26
[ "hep-th", "gr-qc" ]
C.J. Fewster and C.G. Wells
hep-th/9409153
Fusion of the $q$-Vertex Operators and its Application to Solvable Vertex Models
We diagonalize the transfer matrix of the inhomogeneous vertex models of the 6-vertex type in the anti-ferroelectric regime intoducing new types of q-vertex operators. The special cases of those models were used to diagonalize the s-d exchange model\cite{W,A,FW1}. New vertex operators are constructed from the level one...
1994-09-26
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
Atsushi Nakayashiki
hep-th/9409155
Finite-difference representations of the degenerate affine Hecke algebra
The representations of the degenerate affine Hecke algebra in which the analogues of the Dunkl operators are given by finite-difference operators are introduced. The non-selfadjoint lattice analogues of the spin Calogero-Sutherland hamiltonians are analysed by Bethe-Ansatz. The $ sl(m)$-Yangian representations arising ...
1994-09-26
2009-10-28
[ "hep-th" ]
D.Uglov
hep-th/9409154
Nambu mass hierarchies in low energy string models
This paper explores a recent idea of Nambu to generate hierarchies among Yukawa couplings in the context of effective supergravity and superstrings models. The Yukawa couplings are homogeneous functions of the moduli and a geometrical constraint between them with a crucial role in the Nambu mechanism is found in a clas...
1994-09-26
2009-09-25
[ "hep-th" ]
E. Dudas
hep-th/9409152
Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction
We solve the Wheeler-DeWitt equation for {\it four}-dimensional Einstein gravity as an expansion in powers of the Planck mass by means of a heat kernel regularization. Our results suggest that in the universe with a very small radius or with a very large curvature beyond a Planck scale expectation values of operators a...
1994-09-26
2010-11-01
[ "hep-th", "gr-qc" ]
T.Horiguchi, K.Maeda and M.Sakmaoto
hep-th/9409151
String Models for Locally Supersymmetric Grand Unification
Phenomenologically viable string vacua may require incorporating Kac-Moody algebras at level $\geq 2$. We exploit the free fermionic formulation to construct N=(0,2) world-sheet supersymmetric string models with specific phenomenological input: N=1 spacetime supersymmetry, three generations of chiral fermions in gauge ...
1994-09-26
2007-05-23
[ "hep-th", "hep-ph" ]
S. Chaudhuri, S.-W. Chung, G. Hockney and J. Lykken
hep-th/9409149
Proof of the Impossibility of Non-Contextual Hidden Variables in All Hilbert Space Dimensions
It is shown that the algebraic structure of finite Heisenberg groups associated with the tensor product of two Hilbert spaces leads to a simple demonstration valid in all Hilbert space dimensions of the impossibility of non-contextual hidden variables.
1994-09-25
2007-05-23
[ "hep-th" ]
Daniel I. Fivel
hep-th/9409148
The Lattice Dynamics of Completely Entangled States and its Application to Communication Schemes
(Presented at conference on Fundamental Problems in Physics - UMBC - June 1994) It is shown that among the orthogonal sets of EPR (completely entangled) states there is a unique basis (up to equivalence) that is a also a perfectly resolved set of coherent states with respect to a pair of complementary observables. This...
1994-09-25
2009-10-28
[ "hep-th" ]
Daniel I. Fivel
hep-th/9409142
The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model
A formula for the mass-gap of the supersymmetric $\CP^{n-1}$ sigma model ($n > 1$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=\sin(\pi\Delta)/(\pi\Delta)$ where $\Delta=1/n$ and $m$ is the mass of the fundamental particle multiplet. This result is obtained by comparing two expressions for the free-ene...
1994-09-23
2009-10-28
[ "hep-th" ]
Jonathan M. Evans and Timothy J. Hollowood
hep-th/9409140
Killing-Yano tensors and generalized supersymmetries in black-hole and monopole geometries
New kinds of supersymmetry arise in supersymmetric $\sg$-models describing the motion of spinning point-particles in classical backgrounds, for example black-holes, or the dynamics of monopoles. Their geometric origin is the existence of Killing-Yano tensors. The relation between these concepts is explained and example...
1994-09-23
2007-05-23
[ "hep-th" ]
J.W. van Holten
hep-th/9409137
From Antibracket to Equivariant Characteristic Classes
We construct the odd symplectic structure and the equivariant even (pre)symplectic one from it on the space of differential forms on the Riemann manifold. The Poincare -- Cartan like invariants of the second structure define the equivariant generalizations of the Euler classes on the surfaces.
1994-09-23
2008-02-03
[ "hep-th", "math.DG" ]
A. Nersessian
hep-th/9409146
Moduli Space Cohomology and Wavefunctions in 3D Quantum Gravity
Wavefunctionals of three dimensional quantum gravity are extracted from the 3D field theoretic analogs of the four dimensional Donaldson polynomials. Our procedure is generalizable to four and other dimensions. This is a summary of a talk presented at the Seventh Marcel Grossmann Meeting on General Relativity, Stanford...
1994-09-23
2007-05-23
[ "hep-th", "gr-qc" ]
R. Brooks
hep-th/9409147
Motion of Spin-1/2 Particles in External Gravitational and Electromagnetic Fields
(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We show that the exact solution corresponding to an asymptotically fixed incoming m...
1994-09-23
2007-05-23
[ "hep-th" ]
Stamatis Vokos
hep-th/9409139
Supersymmetry and the Geometry of Taub-NUT
The supersymmetric extension of Taub-NUT space admits 4 standard supersymmetries plus several additional non-standard ones. The geometrical origin of these symmetries is traced. The result has applications to fermion modes in gravitational instantons as well as in long-range monopole dynamics.
1994-09-23
2009-10-28
[ "hep-th" ]
J.W. van Holten (NIKHEF-H)
hep-th/9409141
The Exact Mass-Gap of the Supersymmetric O(N) Sigma Model
A formula for the mass-gap of the supersymmetric O($N$) sigma model ($N>4$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=2^{2\Delta}\sin(\pi\Delta)/(\pi\Delta)$, where $\Delta=1/(N-2)$ and $m$ is the mass of the fundamental vector particle in the theory. This result is obtained by comparing two expressi...
1994-09-23
2009-10-28
[ "hep-th" ]
Jonathan M. Evans and Timothy J. Hollowood
hep-th/9409138
Integrable XYZ Spin Chain with Boundaries
We consider a general class of boundary terms of the open XYZ spin-1/2 chain compatible with integrability. We have obtained the general elliptic solution of $K$-matrix obeying the boundary Yang-Baxter equation using the $R$-matrix of the eight vertex model and derived the associated integrable spin-chain Hamiltonian.
1994-09-23
2009-10-28
[ "hep-th", "cond-mat" ]
Takeo Inami and Hitoshi Konno
hep-th/9409136
Braided Supersymmetry and (CO-)HOMOLOGY
Within the framework of braided or quasisymmetric monoidal categories braided Q-supersymmetry is investigated, where Q is a certain functorial isomorphism in a braided symmetric monoidal category. For an ordinary (co-)quasitriangular Hopf algebra (H,R) a braided monoidal category of H-(co-)modules with braiding induced...
1994-09-23
2007-05-23
[ "hep-th" ]
Bernhard Drabant
hep-th/9409143
The ideas of gravitational effective field theory
I give a very brief introduction to the use of effective field theory techniques in quantum calculations of general relativity. The gravitational interaction is naturally organized as a quantum effective field theory and a certain class of quantum corrections can be calculated.
1994-09-23
2007-05-23
[ "hep-th", "gr-qc" ]
John F. Donoghue
hep-th/9409145
Phase Transitions in a Vortex Gas
It has been shown recently that the motion of solitons at couplings around a critical coupling can be reduced to the dynamics of particles (the zeros of the Higgs field) on a curved manifold with potential. The curvature gives a velocity dependent force, and the magnitude of the potential is proportional to the distanc...
1994-09-23
2009-10-28
[ "hep-th", "cond-mat" ]
P.A.Shah
hep-th/9409144
Doubly discrete Lagrangian systems related to the Hirota and Sine-Gordon equation
We extend the action for evolution equations of KdV and MKdV type which was derived in [Capel/Nijhoff] to the case of not periodic, but only equivariant phase space variables, introduced in [Faddeev/Volkov]. The difference of these variables may be interpreted as reduced phase space variables via a Marsden-Weinstein re...
1994-09-23
2009-10-28
[ "hep-th" ]
C. Emmrich, N. Kutz
hep-th/9409135
Solutions in Self-Dual Gravity Constructed Via Chiral Equations
The chiral model for self-dual gravity given by Husain in the context of the chiral equations approach is discussed. A Lie algebra corresponding to a finite dimensional subgroup of the group of symplectic diffeomorphisms is found, and then use for expanding the Lie algebra valued connections associated with the chiral ...
1994-09-22
2009-10-28
[ "hep-th", "gr-qc" ]
H. Garcia-Compean and T. Matos (CINVESTAV-Ipn, Mexico)
hep-th/9409132
Generalized Q-Exponentials Related to Orthogonal Quantum Groups and Fourier Transformations of Noncommutative Spaces
An essential prerequisite for the study of q-deformed physics are particle states in position and momentum representation. In order to relate x- and p-space by Fourier transformations the appropriate q-exponential series related to orthogonal quantum symmetries is constructed. It turns out to be a new q-special functio...
1994-09-22
2009-10-28
[ "hep-th" ]
Arne Schirrmacher