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hep-th/9406126
4-dimensional dilaton black holes with cosmological constant
Static and spherically symmetric black hole solutions with non-zero cosmological constant are investigated. A formal power series solution is found. It is proved that the number of regular horizons is less than or equal to 2 for positive cosmological constant and is less than or equal to 1 for negative cosmological con...
1994-06-19
2007-05-23
[ "hep-th" ]
Tadashi Okai
hep-th/9406127
Induced Gravity from the Consistent String Theory Coupled with Two - Dimensional Quantum Gravity
The unified theory of string and two-dimensional quantum gravity is considered. The action for two-dimensional gravity is choosen in a well-known induced form and thus gravity posesses it's oun nontrivial dynamics even on the classical level. Three classically equivalent forms of the action of the unified theory are de...
1994-06-19
2007-05-23
[ "hep-th" ]
I.L.Buchbinder, I.L.Shapiro, A.G.Sibiryakov
hep-th/9406128
Non-Abelian Strong-Weak Coupling Duality in (String-Derived) N=4 Supersymmetric Yang-Mills Theories
We study strong-weak coupling duality (S-duality) in N=4 supersymmetric non-Abelian Yang-Mills theories. These theories arise naturally as the low-energy limit of four-dimensional toroidal compactifications of the heterotic string. Firstly, we define the free energy in the presence of electric and magnetic fluxes using...
1994-06-19
2011-07-19
[ "hep-th" ]
L. Girardello, A. Giveon, M. Porrati and A. Zaffaroni
hep-th/9406123
Smooth Paths on Three Dimensional Lattice
A particular class of random walks with a spin factor on a three dimensional cubic lattice is studied. This three dimensional random walk model is a simple generalization of random walk for the two dimensional Ising model. All critical diffusion constants and associated critical exponents are calculated. Continuum fiel...
1994-06-18
2009-10-28
[ "hep-th" ]
Chigak Itoi
hep-th/9406125
Exact solution of a massless scalar field with a relevant boundary interaction
We solve exactly the "boundary sine-Gordon" system of a massless scalar field \phi with a \cos[\beta\phi/2] potential at a boundary. This model has appeared in several contexts, including tunneling between quantum-Hall edge states and in dissipative quantum mechanics. For \beta^2 < 8\pi, this system exhibits a boundary...
1994-06-18
2009-10-28
[ "hep-th" ]
P. Fendley, H. Saleur and N.P. Warner
hep-th/9406121
Equivariant Localization, Spin Systems and Topological Quantum Theory on Riemann Surfaces
We study equivariant localization formulas for phase space path integrals when the phase space is a multiply connected compact Riemann surface. We consider the Hamiltonian systems to which the localization formulas are applicable and show that the localized partition function for such systems is a topological invariant...
1994-06-18
2015-06-26
[ "hep-th" ]
Gordon W. Semenoff and Richard J. Szabo
hep-th/9406122
On the possible experimental manifestations of the torsion field at low energies
We construct the theoretical base for the search of the possible experimental manifestations of the torsion field at low energies. The weakrelativistic approximation to the Dirac equation in an external torsion field is considered. For the sake of generality we introduce the external electromagnetic field in parallel. ...
1994-06-18
2007-05-23
[ "hep-th" ]
V.G.Bagrov, I.L.Buchbinder, I.L.Shapiro
hep-th/9406124
N = 2 Super $W_{\infty}$ Algebra and its Nonlinear Realization Through Super KP Formulation
A nonlinear realization of super $W_{\infty}$ algebra is shown to exist through a consistent superLax formulation of super KP hierarchy. The reduction of the superLax operator gives rise to the Lax operators for $N=2$ generalized super KdV hierarchies, proposed by Inami and Kanno. The Lax equations are shown to be Hami...
1994-06-18
2009-10-28
[ "hep-th" ]
Sasanka Ghosh and Samir K. Paul
hep-th/9406111
Subalgebras of $W_{1+\infty}$ and Their Quasifinite Representations
We propose a series of new subalgebras of the $W_{1+\infty}$ algebra parametrized by polynomials $p(w)$, and study their quasifinite representations. We also investigate the relation between such subalgebras and the $\hat{\mbox{gl}}(\infty)$ algebra. As an example, we investigate the $\Win$ algebra which corresponds to...
1994-06-17
2009-10-28
[ "hep-th" ]
H.Awata, M.Fukuma, Y.Matsuo, S.Odake
hep-th/9406112
Large Parabosons versus supersymmetry in Jahn-Teller Systems
The applications of parabosons by Schmutz (1980) and of supersymmetry by Jarvis {\em et al.} (1984) in Jahn-Teller systems are compared and contrasted. Although a parasupersymmetric Jahn-Teller system has not yet been identified, the method of Schmutz is used here to show that the $E \times \epsilon $ supersymmetric Ja...
1994-06-17
2009-10-28
[ "hep-th" ]
Edward D. Savage & G E Stedman
hep-th/9406117
Thermodynamics of the Massive Gross-Neveu Model
We study the thermodynamics of massive Gross-Neveu models with explicitly broken discrete or continuous chiral symmetries for finite temperature and fermion densities. The large $N$ limit is discussed bearing attention to the no-go theorems for symmetry breaking in two dimensions which apply to the massless cases. The ...
1994-06-17
2009-10-28
[ "hep-th" ]
A. Barducci, R. Casalbuoni, R. Gatto, M. Modugno and G. Pettini
hep-th/9406120
Superanalogs of symplectic and contact geometry and their applications to quantum field theory
The paper contains a short review of the theory of symplectic and contact manifolds and of the generalization of this theory to the case of supermanifolds. It is shown that this generalization can be used to obtain some important results in quantum field theory. In particular, regarding $N$-superconformal geometry as p...
1994-06-17
2008-02-03
[ "hep-th", "math.SG" ]
Albert Schwarz
hep-th/9406115
Gauge parameter dependence in gauge theories (revised: subsection 2.3)
Dependence on the gauge parameters is an important issue in gauge theories: physical quantities have to be independent. Extending BRS transformations by variation of the gauge parameter into a Grassmann variable one can control gauge parameter dependence algebraically. As application we discuss the anomaly coefficient ...
1994-06-17
2009-10-28
[ "hep-th" ]
E. Kraus, K. Sibold
hep-th/9406114
Quantum Heisenberg Group and Algebra: Contraction, Left and Right Regular Representations
We show that the quantum Heisenberg group $H_{q}(1)$ can be obtained by means of contraction from quantum $SU_q(2)$ group. Its dual Hopf algebra is the quantum Heisenberg algebra $U_{q}(h(1))$. We derive left and right regular representations for $U_{q}(h(1))$ as acting on its dual $H_{q}(1)$. Imposing conditions on th...
1994-06-17
2009-10-28
[ "hep-th" ]
Demosthenes Ellinas and Jan Sobczyk
hep-th/9406118
Sectors of Mutually Local Fields in Integrable Models of Quantum Field Theory
It is known that 2D field theories admit several sectors of mutually local fields so as two fields from different sectors are mutually nonlocal. We show that any one-partical integrable model with ${\bf Z}_2$ symmetry contains three sectors: bosonic, fermionic and `disorder' one. We generalize the form factor axioms to...
1994-06-17
2008-02-03
[ "hep-th" ]
M. Yu. Lashkevich
hep-th/9406116
Highest Weight $U_q[sl(n)]$ Modules and Invariant Integrable n-State Models with Periodic Boundary Conditions"
The weights are computed for the Bethe vectors of an RSOS type model with periodic boundary conditions obeying $U_q[sl(n)]$ ($q=\exp(i\pi/r)$) invariance. They are shown to be highest weight vectors. The q-dimensions of the corresponding irreducible representations are obtained.
1994-06-17
2009-10-28
[ "hep-th" ]
A. Zapletal and M. Karowski
hep-th/9406119
U(1) Field Theory in the Limit of a Large Coupling Constant
We consider a massive fermion interacting with a U(1) gauge field in the limit of a large coupling constant. It is found that the current has a generalized London term that can originate massive excitations for two of the three components of the gauge field, which disappear for a free particle at rest. The origin of th...
1994-06-17
2008-02-03
[ "hep-th" ]
Marco Frasca
hep-th/9406113
Racks and Orbits of Dressing Transformations
New algebraic structure on the orbits of dressing transformations of the quasitriangular Poisson Lie groups is provided. This give the topological interpretation of the link invariants associated with the Weinstein--Xu classical solutions of the quantum Yang-Baxter equation. Some applications to the three-dimensional t...
1994-06-17
2007-05-23
[ "hep-th" ]
A. Balinsky
hep-th/9406109
Swimming of Microorganism and the String- and Membrane- like Algebra
Swimming of microorganisms is further developed from a viewpoint of strings and membranes swimming in the incompressible fluid of low Reynolds number. In our previous paper the flagellated motion was analyzed in two dimensional fluid, by using the method developed in the ciliated motion with the Joukowski transformatio...
1994-06-16
2007-05-23
[ "hep-th" ]
Masako Kawamura, Akio Sugamoto, Shin'ichi Nojiri
hep-th/9406110
Limitation to Quantum Measurements of Spacetime Distances
Inspired by the work of Wheeler among others, we have studied the problem of quantum measurements of space-time distances by applying the general principles of quantum mechanics as well as those of general relativity. Contrary to the folklore, the minimum error in the measurement of a length is shown to be proportional...
1994-06-16
2011-03-28
[ "hep-th" ]
Y. Jack Ng
hep-th/9406107
Some Concepts of Modern Algebraic Geometry: Point, Ideal and Homomorphism
Starting from classical algebraic geometry over the complex numbers (as it can be found for example in Griffiths and Harris it was the goal of these lectures to introduce some concepts of the modern point of view in algebraic geometry. Of course, it was quite impossible even to give an introduction to the whole subject...
1994-06-16
2008-02-03
[ "hep-th", "math.AG" ]
Martin Schlichenmaier
hep-th/9406106
Non-hermitian techniques of canonical transformations in quantum mechanics
The quantum mechanical version of the four kinds of classical canonical transformations is investigated by using non-hermitian operator techniques. To help understand the usefulness of this appoach the eigenvalue problem of a harmonic oscillator is solved in two different types of canonical transformations. The quantum...
1994-06-16
2009-10-28
[ "hep-th" ]
Haewon Lee and W.S. l'Yi
hep-th/9406097
Calculus and Quantizations over Hopf algebras
In this paper we outline an approach to calculus over quasitriangular Hopf algebras. We study differential operators in the framework of monoidal categories equipped with a braiding or symmetry. To be more concrete, we choose as an example the category of modules over quasitriangular Hopf algebra. We introduce braided ...
1994-06-15
2007-05-23
[ "hep-th" ]
Valentin Lychagin
hep-th/9406103
On the Mathai-Quillen Formalism of Topological Sigma Models
We present a Mathai-Quillen interpretation of topological sigma models. The key to the construction is a natural connection in a suitable infinite dimensional vector bundle over the space of maps from a Riemann surface (the world sheet) to an almost complex manifold (the target). We show that the covariant derivative o...
1994-06-15
2009-10-28
[ "hep-th" ]
Siye Wu
hep-th/9406096
A Functional and Lagrangian Formulation of Two-Dimensional Topological Gravity
We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We derive its Slavnov-Taylor identities and discuss its (in)dependence on the background gauge. Correlators of reparamerization invariant observables are shown to be globally defined forms on moduli space. The potential obstruct...
1994-06-15
2007-05-23
[ "hep-th" ]
C.M. Becchi, R. Collina and C. Imbimbo
hep-th/9406098
Non-standard quantum so(2,2) and beyond
A new "non-standard" quantization of the universal enveloping algebra of the split (natural) real form $so(2,2)$ of $D_2$ is presented. Some (classical) graded contractions of $so(2,2)$ associated to a $Z_2 \times Z_2$ grading are studied, and the automorphisms defining this grading are generalized to the quantum case,...
1994-06-15
2009-10-28
[ "hep-th", "math.QA" ]
A. Ballesteros, F.J. Herranz, M.A. del Olmo and M. Santander
hep-th/9406104
Cluster Estimates and Analytic Wavefunctions
The Tomita-Takesaki modular theory is used to establish a cluster estimate extending and modifying that of Thomas and Wichmann, so as to extend it to regions within which the relevant observables are not necessarily spacelike separated. This sort of estimate is then applied to the case of a massive free field, to show ...
1994-06-15
2007-05-23
[ "hep-th" ]
D. R. Davidson
hep-th/9406105
Massive String States as Extreme Black Holes
We consider the Schwarz-Sen spectrum of elementary electrically charged massive $N_R=1/2$ states of the four-dimensional heterotic string and show the maximum spin $1$ supermultiplets to correspond to extreme black hole solutions. The $N_L=1$ states and $N_L>1$ states (with vanishing left-moving internal momentum) admi...
1994-06-15
2009-10-28
[ "hep-th", "gr-qc" ]
M.J. Duff and J. Rahmfeld
hep-th/9406094
Schwinger Model in the Light-Cone Representation
I present a solution to the Schwinger model in the light-cone representation which corrects an error in a previous work. I emphasize the details of the mechanism by which the physical vacuum is different than the perturbative vacuum. I suggest that the method of analyzing vacuum structure presented here may be of use i...
1994-06-15
2009-10-28
[ "hep-th" ]
Gary McCartor
hep-th/9406100
The String Calculation of Wilson Loops in Two-Dimensional Yang-Mills Theory
We demonstrate that the large-N expansion of Wilson loop expectation values in SO(N) and Sp(N) Yang-Mills theory on orientable and nonorientable surfaces has a natural description as a weighted sum over covers of the given surface. The sum takes the form of the perturbative expansion of an open string theory. The deriv...
1994-06-15
2009-10-28
[ "hep-th" ]
Stephen G. Naculich, Harold A. Riggs, and Howard J. Schnitzer
hep-th/9406099
Quantum groups and Jordan structures
This paper is meant to be an informal introduction to Quantum Groups, starting from its origins and motivations until the recent developments. We call in particular the attention on the newly descovered relationship among quantum groups, integrable models and Jordan structures.
1994-06-15
2008-02-03
[ "hep-th", "math.QA" ]
R. Iordanescu and P. Truini
hep-th/9406102
The Dimension of Decompactified Spacetime from String Theory
The implications of string theory for understanding the dimension of decompactified spacetime are discussed. Results from a computer model designed to simulate expansion of the early universe during the string dominated phase are presented. This model focuses on the effects of string winding modes on inflation and is b...
1994-06-15
2009-09-25
[ "hep-th" ]
Gerald B. Cleaver
hep-th/9406095
Strongly homotopy Lie algebras
The present paper can be thought of as a continuation of the paper "Introduction to sh Lie algebras for physicists" by T. Lada and J. Stasheff (International Journal of Theoretical Physics Vol. 32, No. 7 (1993), 1087--1103, appeared also as preprint hep-th/9209099) which provided an exposition of the basic ingredients ...
1994-06-15
2008-02-03
[ "hep-th", "math.QA" ]
Tom Lada and Martin Markl
hep-th/9406101
Gso Projection, BRST Cohomology and Picture-Changing in N=2 String Theory
We investigate in detail the critical $N{=}2$ fermionic string with and without a global ${\bf Z}_2$ twist. An analysis of BRST cohomology shows that twisted sectors contain massless `spacetime' fermions which are {\it non-local\/} with respect to the standard massless boson. However, two distinct GSO projections exist...
1994-06-15
2009-10-28
[ "hep-th" ]
J. Bischoff, S. V. Ketov and O. Lechtenfeld
hep-th/9406108
Quantum Field Theory without Divergences: Quantum Spacetime
A fundamental length is introduced into physics in a way which respects the principles of relativity and quantum field theory. This improves the properties of quantum field theory: divergences are removed. How to quantize gravity is also indicated. When the fundamental length tends to zero the present version of quantu...
1994-06-15
2007-05-23
[ "hep-th" ]
G. H. Gadiyar
hep-th/9406089
Spinning particles in $2+1$ dimensions
Lagrangian and Hamiltonian formulations of a free spinning particle in 2+1-dimensions or {\it anyon} are established, following closely the analysis of Hanson and Regge. Two viable (and inequivalent) Lagrangians are derived. It is also argued that one of them is more favourable. In the Hamiltonian analysis non-triviaal...
1994-06-14
2011-07-19
[ "hep-th" ]
Subir Ghosh
hep-th/9406086
Symmetry Breaking in the Schr\"odinger Representation for Chern-Simons Theories
This paper discusses the phenomenon of spontaneous symmetry breaking in the Schr\"odinger representation formulation of quantum field theory. The analysis is presented for three-dimensional space-time abelian gauge theories with either Maxwell, Maxwell-Chern-Simons, or pure Chern-Simons terms as the gauge field contrib...
1994-06-14
2009-10-28
[ "hep-th" ]
G. Dunne
hep-th/9406084
Deformed Algebras from Inverse Schwinger Method
We consider a problem which may be viewed as an inverse one to the Schwinger realization of Lie algebra, and suggest a procedure of deforming the so-obtained algebra. We illustrate the method through a few simple examples extending Schwinger's $su(1,1)$ construction. As results, various q-deformed algebras are (re-)pro...
1994-06-14
2009-10-28
[ "hep-th" ]
K. H. Cho and S. U. Park
hep-th/9406092
Gauge Invariance and Second Class Constraints in 3-D Linearized Gravity
A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of linerized gravity in 3-D, the intermediate and the self dual models, is discussed in...
1994-06-14
2009-10-28
[ "hep-th" ]
Pio Jose Arias y Jorge Stephany
hep-th/9406077
$R$--Matrix Construction of Electromagnetic Models for the Painlev\'e Transcendents
The Painlev\'e transcendents $P_{\rom{I}}$--$P_{\rom{V}}$ and their representations as isomonodromic deformation equations are derived as nonautonomous Hamiltonian systems from the classical $R$--matrix Poisson bracket structure on the dual space $\wt{\frak{sl}}_R^*(2)$ of the loop algebra $\wt{\frak{sl}}_R(2)$. The Ha...
1994-06-14
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
J. Harnad and M. Routhier
hep-th/9406080
Canonical Coherent States for the Relativistic Harmonic Oscillator
In this paper we construct manifestly covariant relativistic coherent states on the entire complex plane which reproduce others previously introduced on a given $SL(2,R)$ representation, once a change of variables $z\in C\rightarrow z_D \in $ unit disk is performed. We also introduce higher-order, relativistic creation...
1994-06-14
2009-10-28
[ "hep-th" ]
V. Aldaya and J. Guerrero
hep-th/9406090
Singlet Couplings and (0,2) Models
We use the quantum symmetries present in string compactification on Landau-Ginzburg orbifolds to prove the existence of a large class of exactly marginal (0,2) deformations of (2,2) superconformal theories. Analogous methods apply to the more general (0,2) models introduced in \DK, lending further credence to the fact ...
1994-06-14
2009-10-07
[ "hep-th" ]
Jacques Distler and Shamit Kachru
hep-th/9406078
Quantum Isomonodromic Deformations and the Knizhnik--Zamolodchikov Equations
Viewing the Knizhnik--Zamolodchikov equations as multi--time, nonautonomous Shr\"odinger equations, the transformation to the Heisenberg representation is shown to yield the quantum Schlesinger equations. These are the quantum form of the isomonodromic deformations equations for first order operators of the form $\DD_\...
1994-06-14
2008-02-03
[ "hep-th", "math.QA", "nlin.SI", "solv-int" ]
John Harnad
hep-th/9406085
Entropy, Quantum Decoherence and Pointer States in Scalar ``Parton'' Fields
Entropy arises in strong interactions by a dynamical separation of ``partons'' from unobservable ``environment'' modes due to confinement. For interacting scalar fields we calculate the statistical entropy of the observable subsystem. Diagonalizing its functional density matrix yields field pointer states and their pro...
1994-06-14
2011-08-04
[ "hep-th", "gr-qc", "nucl-th" ]
Hans-Thomas Elze
hep-th/9406083
Quantum Mechanics in Grassmann Space, Supersymmetry and Gravity
A particle which lives in a d-dimensional ordinary and a d-dimensional Grassmann space manifests itself in an ordinary four-dimensional subspace as a spinor, a scalar or a vector with charges. Operators of the Lorentz transformations and translations in both spaces form the super- Poincar\' e algebra. It is the super-P...
1994-06-14
2007-05-23
[ "hep-th" ]
Norma Manko\v{c} Bor\v{s}tnik
hep-th/9406088
Exact, E=0, Classical and Quantum Solutions for General Power-Law Oscillators
For zero energy, $E=0$, we derive exact, classical and quantum solutions for {\em all} power-law oscillators with potentials $V(r)=-\gamma/r^\nu$, $\gamma>0$ and $-\infty <\nu<\infty$. When the angular momentum is non-zero, these solutions lead to the classical orbits $\r(t)= [\cos \mu (\th(t)-\th_0(t))]^{1/\mu}$, with...
1994-06-14
2009-09-25
[ "hep-th" ]
Michael Martin Nieto and Jamil Daboul
hep-th/9406087
Some New Solutions of Yang-Baxter Equation
We have found some new solutions of both rational and trigonometric types by rewriting Yang-Baxter equation as a triple product equation in a vector space of matrices.
1994-06-14
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
Susumu Okubo
hep-th/9406081
Asymptotic Limits and Sum Rules for Gauge Field Propagators
For gauge field propagators, the asymptotic behavior is obtained in all directions of the complex $k^2$-plane, and for general, linear, covariant gauges. Asymptotically free theories are considered. Except for coefficients, the functional form of the leading asymptotic terms is gauge-independent. Exponents are determin...
1994-06-14
2009-10-28
[ "hep-th" ]
Reinhard Oehme and Wentao Xu
hep-th/9406093
Dual Waves
We study the gravitational waves in the 10-dimensional target space of the superstring theory. Some of these waves have unbroken supersymmetries. They consist of Brinkmann metric and of a 2-form field. Sigma-model duality is applied to such waves. The corresponding solutions we call dual partners of gravitational waves...
1994-06-14
2007-05-23
[ "hep-th" ]
Renata Kallosh
hep-th/9406079
Higher Order Correction to the GHS String Black Hole
We study the order $\alpha'$ correction to the string black hole found by Garfinkle, Horowitz, and Strominger. We include all operators of dimension up to four in the Lagrangian, and use the field redefinition technique which facilitates the analysis. A mass correction, which is implied by the work of Giddings, Polchin...
1994-06-14
2014-11-18
[ "hep-th", "gr-qc" ]
Makoto Natsuume
hep-th/9406082
A New Duality Symmetry in String Theory
We consider the conformal gauging of non-abelian groups. In such cases there are inequivalent ways of gauging (generalizing the axial and vector cases for abelian groups) corresponding to external automorphisms of the group. Different $\s$-models obtained this way correspond to the same conformal field theory. We use t...
1994-06-14
2009-10-28
[ "hep-th" ]
E. Kiritsis and N. Obers
hep-th/9406091
Quantum Symmetries and Stringy Instantons
The quantum symmetry of many \LG\ orbifolds appears to be broken by Yang-Mills instantons. However, isolated Yang-Mills instantons are not solutions of string theory: They must be accompanied by gauge anti-instantons, gravitational instantons, or topologically non-trivial configurations of the $H$ field. We check that ...
1994-06-14
2009-10-07
[ "hep-th" ]
Jacques Distler and Shamit Kachru
hep-th/9406071
Chiral fermion action with (8,0) worldsheet supersymmetry
We propose an action describing chiral fermions with an arbitrary gauge group and with manifest $(8,0)$ worldsheet supersymmetry. The form of the action is inspired by and adapted for completing the twistor-like formulation of the $D=10$ heterotic superstring.
1994-06-13
2007-05-23
[ "hep-th" ]
E. Ivanov and E. Sokatchev
hep-th/9406070
Gaussian approximation of the (2+1) dimensional Thirring model in the functional Schr\"{o}dinger picture
The (2+1)-dimensional Thirring model is studied by using the Gaussian approximation method in the functional Schr\"odinger picture. Although the dynamical symmetry breaking does not occur in the large N limit, it does occur in the Gaussian approximation which includes the higher order contributions in 1/N.
1994-06-13
2009-10-28
[ "hep-th" ]
S.J. Hyun, G.H. Lee and J.H. Yee
hep-th/9406074
Wave Functionals, Hamiltonians and Renormalization Group
We analyze the renormalization of wave functionals and energy eigenvalues in field theory. A discussion of the structure of the renormalization group equation for a general Hamiltonian system is also given.
1994-06-13
2015-06-26
[ "hep-th" ]
D.Minic and V.P.Nair
hep-th/9406075
The Strong Perturbation Approach for the Dirac Equation in a Gauge Field
We discuss a possible approach to the problem of a gauge theory with a strong coupling constant. It is seen that, instead of plane waves, we have to consider the adiabatic eigenstates of the perturbation in order to get a meaningful perturbation approach.
1994-06-13
2008-02-03
[ "hep-th" ]
Marco Frasca
hep-th/9406073
Hard Thermal Loops in a Moving Plasma and a Magnetic Mass Term
We consider the hard thermal loops of QCD for a moving quark-gluon plasma. Generalizing from this we suggest a candidate for the magnetic mass term. This term may also be useful in understanding the mass gap of three-dimensional non-Abelian gauge theories.
1994-06-13
2009-10-28
[ "hep-th", "hep-ph" ]
V.P.Nair
hep-th/9406076
Flat Connections for Characters in Irrational Conformal Field Theory
Following the paradigm on the sphere, we begin the study of irrational conformal field theory (ICFT) on the torus. In particular, we find that the affine-Virasoro characters of ICFT satisfy heat-like differential equations with flat connections. As a first example, we solve the system for the general $g/h$ coset constr...
1994-06-13
2015-06-26
[ "hep-th" ]
M.B. Halpern and N. Sochen
hep-th/9406068
Equivariant Morse theory and quantum integrability
We investigate an equivariant generalization of Morse theory for a general class of integrable models. In particular, we derive equivariant versions of the classical Poincar\'e-Hopf and Gauss-Bonnet-Chern theorems and present the corresponding path integral generalizations. Our approach is based on equivariant cohomolo...
1994-06-13
2008-02-03
[ "hep-th", "math.DG" ]
A. J. Niemi and K. Palo
hep-th/9406072
The W_3 particle
We show that W_3 is the algebra of symmetries of the ``rigid-particle'', whose action is given by the integrated extrinsic curvature of its world line. This is easily achived by showing that its equation of motion can be written in terms of the Boussinesq operator. We also show how to obtain the equations of motion of ...
1994-06-13
2007-05-23
[ "hep-th" ]
E. Ramos and J. Roca
hep-th/9406069
Taub--NUT Dyons in Heterotic String Theory
Starting with the Taub--NUT solution to Einstein's equations, together with a constant dilaton, a dyonic Taub--NUT solution of low energy heterotic string theory with non--trivial dilaton, axion and $U(1)$ gauge fields is constructed by employing $O(1,1)$ transformations. The electromagnetic dual of this solution is co...
1994-06-13
2013-11-13
[ "hep-th", "gr-qc" ]
Clifford V. Johnson and Robert C. Myers
hep-th/9406067
On exact solutions and singularities in string theory
We construct two new classes of exact solutions to string theory which are not of the standard plane wave or gauged WZW type. Many of these solutions have curvature singularities. The first class includes the fundamental string solution, for which the string coupling vanishes near the singularity. This suggests that th...
1994-06-11
2009-09-17
[ "hep-th" ]
G.T. Horowitz and A.A. Tseytlin
hep-th/9406064
Elements of Finite Order in Lie Groups and Discrete Gauge Symmetries
We apply Kac's theory of elements of finite order (EFO) in Lie groups to the description of discrete gauge symmetries in various supersymmetric grand unified models. Taking into account the discrete anomaly cancellation conditions, we identify the EFO which generate certain matter parities in the context of the super...
1994-06-10
2009-10-28
[ "hep-th", "hep-ph" ]
Marc de Montigny
hep-th/9406066
Algebraic structure of the Green's ansatz and its q-deformed analogue
The algebraic structure of the Green's ansatz is analyzed in such a way that its generalization to the case of q-deformed para-Bose and para-Fermi operators is becoming evident. To this end the underlying Lie (super)algebraic properties of the parastatistics are essentially used.
1994-06-10
2009-10-28
[ "hep-th" ]
T. D. Palev
hep-th/9406062
The Nonlinear Multiplet Revisited
Using a reformulation of the nonlinear multiplet as a gauge multiplet, we discuss its dynamics. We show that the nonlinear ``duality'' that appears to relate the model to a conventional $\sigma$-model introduces a new sector into the theory.
1994-06-10
2009-10-28
[ "hep-th" ]
Byungbae Kim, Ulf Lindstr\"om, and Martin Ro\v{c}ek
hep-th/9406063
Complex Structures, Duality, and WZW-Models in Extended Superspace
We find the complex structure on the dual of a complex target space. For $N=(2,2)$ systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is {\em always} integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We...
1994-06-10
2009-10-28
[ "hep-th" ]
Ivan T. Ivanov, Byungbae Kim, and Martin Rocek
hep-th/9406059
Supersymmetry and Stationary Solutions in Dilaton-Axion Gravity
New stationary solutions of $4$-dimensional dilaton-axion gravity are presented, which correspond to the charged Taub-NUT and Israel-Wilson-Perjes (IWP) solutions of Einstein-Maxwell theory. The charged axion-dilaton Taub-NUT solutions are shown to have a number of interesting properties: i) manifest $SL(2,R)$ symmetry...
1994-06-10
2010-11-01
[ "hep-th", "gr-qc" ]
Renata Kallosh, David Kastor, Tomas Ortin and Tibor Torma
hep-th/9406065
Invariants of 3-Manifolds Derived From Finite Dimensional Hopf Algebras
This paper studies invariants of 3-manifolds derived from certain fin ite dimensional Hopf algebras. The invariants are based on right integrals for these algebras. It is shown that the resulting class of invariants is distinct from the class of Witten-Reshetikhin-Turaev invariants.
1994-06-10
2008-02-03
[ "hep-th", "math.QA" ]
Louis H. Kauffman and David E. Radford (UI Chicago)
hep-th/9406061
Symplectic geometry and Hamiltonian flow of the renormalisation group equation
It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow on a phase space which consists of the couplings of the theory and their conjugate \lq\lq momenta", which are the vacuum expectation values of the corresponding composite operators. The Hamiltonian is linear in the conjug...
1994-06-10
2011-08-17
[ "hep-th", "cond-mat", "math.SG" ]
Brian P. Dolan
hep-th/9406056
$(1,q=-1)$ Model as a Topological Description of $2d$ String Theory
We study the $(1,q=-1)$ model coupled to topological gravity as a candidate to describing $2d$ string theory at the self-dual radius. We define the model by analytical continuation of $q>1$ topological recursion relations to $q=-1$. We show that at genus zero the $q=-1$ recursion relations yield the $W_{1+\infty}$ Ward...
1994-06-09
2009-09-29
[ "hep-th" ]
Yoav Lavi, Yaron Oz and Jacob Sonnenschein
hep-th/9406054
The Extended Supersymmetrization of the Nonlinear Schrodinger Equation
We present the new extended supersymmetrization of the Nonlinear Schrodinger Equation by introducing two superbosons fields with the different gradation. Our model is different from this considered by Toppan and in the reduced case (nonextended supersymmetry) is also different from this considered by Kulish and Roelo...
1994-06-09
2015-06-26
[ "hep-th" ]
Ziemowit Popowicz (Institute of Theoretical Physics, University of Wroclaw pl. M. Borna 9, 50-205 Wroclaw Poland)
hep-th/9406060
Asymptotic Solutions to the Quantized Knizhnik-Zamolodchikov Equation and Bethe Vectors
Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation associated with $\frak{gl}_{N+1}$ are constructed. The leading term of an asymptotic solution is the Bethe vector -- an eigenvector of the transfer-matrix of a quantum spin chain model. We show that the norm of the Bethe vector is equal to the produc...
1994-06-09
2008-02-03
[ "hep-th", "math.QA" ]
Vitaly Tarasov, Alexander Varchenko
hep-th/9406050
Matrix Cartan superdomains, super Toeplitz operators, and quantization
We present a general theory of non-perturbative quantization of a class of hermitian symmetric supermanifolds. The quantization scheme is based on the notion of a super Toeplitz operator on a suitable Z_2 -graded Hilbert space of superholomorphic functions. The quantized supermanifold arises as the C^* -algebra generat...
1994-06-09
2009-09-25
[ "hep-th" ]
D. Borthwick, S. Klimek, A. Lesniewski, and M. Rinaldi
hep-th/9406057
Geometric quantization on homogeneous spaces and the meaning of `inequivalent' quantizations
Consideration of the geometric quantization of the phase space of a particle in an external Yang-Mills field allows the results of the Mackey-Isham quantization procedure for homogeneous configuration spaces to be reinterpreted. In particular, a clear physical interpretation of the `inequivalent' quantizations occurrin...
1994-06-09
2009-10-28
[ "hep-th", "gr-qc", "math.QA" ]
M. A. Robson
hep-th/9406053
Cosmological and Wormhole Solutions in Low-Energy Effective String Theory
We derive and study a class of cosmological and wormhole solutions of low-energy effective string field theory. We consider a general four-dimensional string effective action where moduli of the compactified manifold and the electromagnetic field are present. The cosmological solutions of the two-dimensional effective ...
1994-06-09
2016-09-06
[ "hep-th", "gr-qc" ]
Mariano Cadoni and Marco Cavaglia
hep-th/9406040
Multi-particle Correlations in Quaternionic Quantum Systems
We investigate the outcomes of measurements on correlated, few-body quantum systems described by a quaternionic quantum mechanics that allows for regions of quaternionic curvature. We find that a multi-particle interferometry experiment using a correlated system of four nonrelativistic, spin-half particles has the pote...
1994-06-09
2009-10-28
[ "hep-th", "hep-ph" ]
S.P.Brumby, G.C.Joshi, and Ronald Anderson
hep-th/9406051
Supersymmetry and Fredholm modules over quantized spaces
The purpose of this paper is to apply the framework of non- commutative differential geometry to quantum deformations of a class of Kahler manifolds. For the examples of the Cartan domains of type I and flat space, we construct Fredholm modules over the quantized manifolds using the supercharges which arise in the quan...
1994-06-09
2010-11-01
[ "hep-th" ]
D. Borthwick, S. Klimek, A. Lesniewski, and M. Rinaldi
hep-th/9406055
Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
We extend the discussion of mirror symmetry, Picard-Fuchs equations, instanton-corrected Yukawa couplings, and the topological one-loop partition function to the case of complete intersections with higher-dimensional moduli spaces. We will develop a new method of obtaining the instanton-corrected Yukawa couplings throu...
1994-06-09
2009-10-28
[ "hep-th", "math.QA" ]
S. Hosono, A. Klemm, S. Theisen and Shing-Tung Yau
hep-th/9406058
Maintaining coherence in Quantum Computers
The effect of the inevitable coupling to external degrees of freedom of a quantum computer are examined. It is found that for quantum calculations (in which the maintenance of coherence over a large number of states is important), not only must the coupling be small but the time taken in the quantum calculation must be...
1994-06-09
2009-10-28
[ "hep-th", "gr-qc", "quant-ph" ]
W. G. Unruh
hep-th/9406052
Superspace formulation of the Chern character of a theta-summable Fredholm module
We apply the concepts of superanalysis to present an intrinsically supersymmetric formulation of the Chern character in entire cyclic cohomology. We show that the cocycle condition is closely related to the invariance under supertranslations. Using the formalism of superfields, we find a path integral representation of...
1994-06-09
2009-10-28
[ "hep-th" ]
A. Lesniewski and K. Osterwalder
hep-th/9406047
A new algebraic approach for calculating the heat kernel in quantum gravity
It is shown that the heat kernel operator for the Laplace operator on any covariantly constant curved background, i.e. in symmetric spaces, may be presented in form of an averaging over the Lie group of isometries with some nontrivial measure. Using this representation the heat kernel diagonal, i.e. the heat kernel in ...
1994-06-08
2009-10-28
[ "hep-th", "gr-qc" ]
Ivan G. Avramidi (University of Greifswald)
hep-th/9406045
On the Elliptic Genus and Mirror Symmetry
The elliptic genus for arbitrary two dimensional $N=2$ Landau-Ginzburg orbifolds is computed. This is used to search for possible mirror pairs of such models. An important aspect of this work is that there is no restriction to theories for which the conformal anomaly is $\hat c\in\ZZ$, nor are the results only valid at...
1994-06-08
2007-05-23
[ "hep-th" ]
P. Berglund and M. Henningson
hep-th/9406039
Axial Anomaly in the Presence of the Aharonov-Bohm Gauge Field
We investigate on the plane the axial anomaly for euclidean Dirac fermions in the presence of a background Aharonov--Bohm gauge potential. The non perturbative analysis depends on the self--adjoint extensions of the Dirac operator and the result is shown to be influenced by the actual way of understanding the local axi...
1994-06-08
2009-10-28
[ "hep-th" ]
P. Giacconi, S. Ouvry and R. Soldati
hep-th/9406042
CQG algebras: a direct algebraic approach to compact quantum groups
The purely algebraic notion of CQG algebra (algebra of functions on a compact quantum group) is defined. In a straightforward algebraic manner, the Peter-Weyl theorem for CQG algebras and the existence of a unique positive definite Haar functional on any CQG algebra are established. It is shown that a CQG algebra can b...
1994-06-08
2009-10-28
[ "hep-th" ]
Mathijs S. Dijkhuizen and Tom H. Koornwinder
hep-th/9406049
Self-DUal SU(3) Chern-Simons Higgs Systems
We explore self-dual Chern-Simons Higgs systems with the local $SU(3)$ and global $U(1)$ symmetries where the matter field lies in the adjoint representation. We show that there are three degenerate vacua of different symmetries and study the unbroken symmetry and particle spectrum in each vacuum. We classify the self-...
1994-06-08
2011-07-19
[ "hep-th" ]
Hsien-Chung Kao and Kimyeong Lee
hep-th/9406043
A Fresh Look at Generalized Veneziano Amplitudes
The dual resonance model, which was a precursor of string theory was based upon the idea that two-particle scattering amplitudes should be expressible equivalently as a sum of contributions of an infinite number of $s$ channel poles each corresponding to a finite number of particles with definite spin, or as a similar ...
1994-06-08
2009-10-28
[ "hep-th" ]
D.B. Fairlie and J.Nuyts
hep-th/9406037
Quantum Vacuum and Anomalies
Chiral, conformal and ghost number anomalies are discussed from the viewpoint of the quantum vacuum in Hamiltonian formalism. After introducing the energy cut-off, we derive known anomalies in a new way. We show that the physical origin of the anomalies is the zero point fluctuation of bosonic or fermionic field. We fi...
1994-06-08
2015-06-26
[ "hep-th" ]
Noriyuki Fumita
hep-th/9406044
On Certain Quantum Deformations of $gl(N,R)$
In this paper all deformations of the general linear group, subject to certain restrictions which in particular ensure a smooth passage to the Lie group limit, are obtained. Representations are given in terms of certains sets of creation and annihilation operators. These creation and annihilation operators may belong t...
1994-06-08
2009-10-28
[ "hep-th", "math.QA" ]
D. B. Fairlie and J. Nuyts
hep-th/9406041
Geometric Quantization of the Phase Space of a Particle in a Yang-Mills Field
The method of geometric quantization is applied to a particle moving on an arbitrary Riemannian manifold $Q$ in an external gauge field, that is a connection on a principal $H$-bundle $N$ over $Q$. The phase space of the particle is a Marsden-Weinstein reduction of $T^*N$, hence this space can also be considered to be ...
1994-06-08
2015-06-26
[ "hep-th", "gr-qc" ]
M.A. Robson
hep-th/9406046
Effective hamiltonians for 1/N expansion in two-dimensional QCD
We discuss the general structure of effective hamiltonians for systematic 1/N expansion in QCD using the light-cone quantization. These are second-quantized hamiltonians acting on the Fock space of mesons and glueballs defined by the solution of the $N=\infty$ problem. In the two-dimensional case we find only cubic and...
1994-06-08
2009-10-28
[ "hep-th" ]
J. L. F. Barb\'on and Kre\v{s}imir Demeterfi
hep-th/9406048
Casimir effect for a $D$-dimensional sphere
The Casimir force on a $D$-dimensional sphere due to the confinement of a massless scalar field is computed as a function of $D$, where $D$ is a continuous variable that ranges from $-\infty$ to $\infty$. The dependence of the force on the dimension is obtained using a simple and straightforward Green's function techni...
1994-06-08
2009-10-28
[ "hep-th" ]
Carl M. Bender and Kimball A. Milton
hep-th/9406038
Topological Invariance at Finite Temperature
We examine the thermal behavior of a theory with charged massive vector matter coupled to Chern-Simons gauge field. We obtain a critical temperature Tc, at which the effective mass of vector field vanishes, and the system transfers from a symmetry broken phase to topological phase. The phase transition is suggested to ...
1994-06-08
2007-05-23
[ "hep-th", "gr-qc" ]
Wei Chen (Univ of North Carolina, Chapel Hill)
hep-th/9406034
Shift versus no-shift in local regularizations of Chern-Simons theory
We consider a family of local BRS-invariant higher covariant derivative regularizations of $SU(N)$ Chern-Simons theory that do not shift the value of the Chern-Simons parameter $k$ to $k+\,{\rm sign}(k)\,\cv$ at one loop.
1994-06-07
2009-10-28
[ "hep-th" ]
G. Giavarini, C.P. Martin and F. Ruiz Ruiz
hep-th/9406035
Geometrical Expression for Short-Distance Singularities in Field Theory
We consider the linear space of composite fields as an infinite dimensional vector bundle over the theory space whose coordinates are simply the parameters of a renormalized field theory. We discuss a geometrical expression for the short distance singularities of the composite fields in terms of beta functions, anomalo...
1994-06-07
2007-05-23
[ "hep-th" ]
Hidenori Sonoda
hep-th/9406036
Legendrian Distributions with Applications to Poincar\'e Series
Let $X$ be a compact Kahler manifold and $L\to X$ a quantizing holomorphic Hermitian line bundle. To immersed Lagrangian submanifolds $\Lambda$ of $X$ satisfying a Bohr-Sommerfeld condition we associate sequences $\{ |\Lambda, k\rangle \}_{k=1}^\infty$, where $\forall k$ $|\Lambda, k\rangle$ is a holomorphic section of...
1994-06-07
2009-10-28
[ "hep-th" ]
D. Borthwick, T. Paul and A. Uribe
hep-th/9406033
Parity Violation in the Three Dimensional Thirring Model
We discuss parity violation in the 3-dimensional (N flavour) Thirring model. We find that the ground state fermion current in a background gauge field does not posses a well defined parity transformation. We also investigate the connection between parity violation and fermion mass generation, proving that radiative cor...
1994-06-06
2009-10-28
[ "hep-th" ]
G.L.Rossini and F.A.Schaposnik
hep-th/9406030
B.R.S. renormalisation of some on-shell closed algebras of symmetry transformations : the example of supersymmetric non-linear sigma models : the N=1 case
In order to study in a regularisation free manner the renormalisability of d=2 supersymmetric non-linear $\si$ models, one has to use the algebraic BRS methods ; moreover, in the absence of an off-shell formulation, one has often to deal with open algebras. We then recall in a pedagogical and non technical manner the s...
1994-06-06
2007-05-23
[ "hep-th" ]
Guy Bonneau
hep-th/9406029
Back Reaction of Strings in Self-Consistent String Cosmology
We compute the string energy-momentum tensor and {\bf derive} the string equation of state from exact string dynamics in cosmological spacetimes. $1+1,~2+1$ and $D$-dimensional universes are treated for any expansion factor $R$. Strings obey the perfect fluid relation $ p = (\gamma -1) \rho $ with three different behav...
1994-06-06
2009-10-28
[ "hep-th", "astro-ph", "gr-qc", "hep-ph" ]
H.J.de Vega and N. S\'anchez
hep-th/9406031
B.R.S. renormalisation of some on-shell closed algebras of symmetry transformations : N=2 and 4 supersymmetric non-linear sigma models
We analyse with the algebraic, regularisation independant, cohomological B.R.S. methods, the renormalisability of torsionless N=2 and N= 4 supersymmetric non-linear $\si$ models built on K\"ahler spaces. Surprisingly enough with respect to the common wisdom, in the case of N=2 supersymmetry, we obtain an anomaly candid...
1994-06-06
2014-11-18
[ "hep-th" ]
Guy Bonneau
hep-th/9406028
Tachyon Effects on the 2-Dim Black Hole Geometry
We study solutions of the tree level string effective action in the presence of the tachyon mode.We find that the 2-dim. static black hole is stable against tachyonic perturbations.For a particular ansatz for the tachyon field we find an exact solution of the equations of motion which exhibits a naked singularity.In th...
1994-06-06
2019-08-17
[ "hep-th" ]
G.A. Diamandis, B.C. Georgalas and E. Papantonopoulos