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hep-th/9409133
Maxwell-Chern-Simons Theory in Covariant and Coulomb Gauges
We quantize Quantum Electrodynamics in $2+1$ dimensions coupled to a Chern-Simons (CS) term and a charged spinor field, in covariant gauges and in the Coulomb gauge. The resulting Maxwell-Chern-Simons (MCS) theory describes charged fermions interacting with each other and with topologically massive propagating photons....
1994-09-22
2015-06-26
[ "hep-th" ]
Kurt Haller and Edwin Lim-Lombridas (University of Connecticut)
hep-th/9409134
Theory of Neutral Particles: Mclennan-Case Construct for Neutrino, Its Generalization, and a New Wave Equation
Continuing our recent argument where we constructed a FNBWW-type spin-$1$ boson having opposite relative intrinsic parity to that of the associated antiparticle, we now study eigenstates of the Charge Conjugation operator. Based on the observation that if $\phi_{_{L}}(p^\mu)$ transforms as a $(0,\,j)$ spinor under Lore...
1994-09-22
2008-11-26
[ "hep-th", "hep-ph" ]
D. V. Ahluwalia (LAMPF, Los Alamos National Laboratory)
hep-th/9409129
Generalized $\W_3$ Strings from Free Fields
The conventional quantization of w_3 strings gives theories which are equivalent to special cases of bosonic strings. We explore whether a more general quantization can lead to new generalized W_3 string theories by seeking to construct quantum BRST charges directly without requiring the existence of a quantum W_3 alge...
1994-09-21
2015-06-26
[ "hep-th" ]
JM Figueroa-O'Farrill, CM Hull, L Palacios, and E Ramos
hep-th/9409122
A Perturbative Approach to the Chiral Potts Model
The massive high-temperature phase of the chiral Potts quantum chain is studied using perturbative methods. For the Z_3-chain we present high-temperature expansions for the groundstate energy and the dispersion relations of the two single-particle states as well as two-particle states at general values of the parameter...
1994-09-21
2009-09-25
[ "hep-th", "cond-mat", "hep-lat" ]
A. Honecker
hep-th/9409127
Operator Formalism on General Algebraic Curves
The usual Laurent expansion of the analytic tensors on the complex plane is generalized to any closed and orientable Riemann surface represented as an affine algebraic curve. As an application, the operator formalism for the $b-c$ systems is developed. The physical states are expressed by means of creation and annihila...
1994-09-21
2015-06-26
[ "hep-th", "alg-geom", "math.AG" ]
F. Ferrari and J. Sobczyk
hep-th/9409123
Topological Terms in String Theory on Orbifolds
We study toroidal orbifold models with topologically invariant terms in the path integral formalism and give physical interpretations of the terms from an operator formalism point of view. We briefly discuss a possibility of a new class of modular invariant orbifold models.
1994-09-21
2009-10-28
[ "hep-th" ]
M. Sakamoto and M. Tachibana
hep-th/9409126
On Coset Reductions of KP Hierarchies
In this talk the class of multi-fields reductions of the KP and super-KP hierarchies (leading to non-purely differential Lax operators) is revisited from the point of view of coset construction. This means in particular that all the hamiltonian densities of the infinite tower belong to a coset algebra of a given Poisso...
1994-09-21
2011-04-15
[ "hep-th" ]
F. Toppan
hep-th/9409128
Wilson Loops, Winding modes, and Domain Walls in Finite Temperature QCD
We discuss the effective action for Polyakov-Wilson loops winding around compact Euclidean time, which serve as order parameters for the finite temperature deconfinement transition in $SU(N)$ Yang-Mills gauge theory. We then apply our results to the study of the high temperature continuation of the confining phase, and...
1994-09-21
2009-10-28
[ "hep-th", "hep-ph" ]
Joshua Boorstein and David Kutasov
hep-th/9409130
Spectrum of transfer matrix for $U_q(B_n)$-invariant $A^{(2)}_{2n}$ open spin chain
We propose an expression for the eigenvalues of the transfer matrix for the $U_q(B_n)$-invariant open quantum spin chain associated with the fundamental representation of $A^{(2)}_{2n}$. By assumption, the Bethe Ansatz equations are ``doubled'' with respect to those of the corresponding closed chain with periodic bound...
1994-09-21
2015-06-26
[ "hep-th" ]
Simone Artz, Luca Mezincescu, and Rafael I. Nepomechie
hep-th/9409125
On Classical Rational $\cw$ Algebras
The structure of classical non-linear $\cw$ algebras closing on rational functions is analyzed both for the ordinary and the supersymmetric case. Such algebras appear as a result of a coset construction. Their relevance to physical applications is pointed out.
1994-09-21
2007-05-23
[ "hep-th" ]
F. Toppan
hep-th/9409120
Moyal Quantum Mechanics: The Semiclassical Heisenberg Dynamics
The Moyal--Weyl description of quantum mechanics provides a comprehensive phase space representation of dynamics. The Weyl symbol image of the Heisenberg picture evolution operator is regular in $\hbar$. Its semiclassical expansion `coefficients,' acting on symbols that represent observables, are simple, globally defin...
1994-09-21
2015-06-26
[ "hep-th" ]
T. A. Osborn and F. H. Molzahn
hep-th/9409121
Creation of a scalar potential in 2D dilaton gravity
We investigate quantum corrections of the 2-d dilaton gravity near the singularity. Our motivation comes from a s-wave reduced cosmological solution which is classically singular in the scalar fields (dilaton and moduli). As result we find, that the singularity disappears and a dilaton/moduli potential is created.
1994-09-21
2007-05-23
[ "hep-th", "gr-qc" ]
K. Behrndt
hep-th/9409124
The Monomial-Divisor Mirror Map for Landau-Ginzburg Orbifolds
We present the new explicit geometrical knowledge of the Landau-Ginzburg orbifolds, when a typical type of superpotential is considered. Relying on toric geometry, we show the one-to-one correspondence between some of the $(a,c)$ states with $U(1)$ charges $(-1,1)$ and the $(1,1)$ forms coming from blowing-up processes...
1994-09-21
2015-06-26
[ "hep-th" ]
H. Sato
hep-th/9409118
ALE Instantons in String Theory
In this talk we will describe a string solution which contains a self-dual (instantonic) metric and study its properties. Talk given by M.Bianchi at the Seventh Marcel Grossmann Meeting, Stanford July 24-30, 1994.
1994-09-20
2007-05-23
[ "hep-th" ]
M.Bianchi, F.Fucito, G.C.Rossi and M.Martellini
hep-th/9409119
Supersymmetric Dyonic Black Holes in Kaluza-Klein Theory
We study supersymmetric, four-dimensional (4-d), Abelian charged black holes (BH's) arising in (4+n)-d (1 \le n \le 7) Kaluza-Klein (KK) theories. Such solutions, which satisfy supersymmetric Killing spinor equations (formally satisfied for any n) and saturate the corresponding Bogomol'nyi bounds, can be obtained if an...
1994-09-20
2009-09-25
[ "hep-th", "gr-qc" ]
Mirjam Cveti\v{c} and Donam Youm
hep-th/9409117
Covariant Quantization of d=4 Brink-Schwarz Superparticle with Lorentz Harmonics
Covariant first and second quantization of the free d=4 massless superparticle are implemented with the introduction of purely gauge auxiliary spinor Lorentz harmonics. It is shown that the general solution of the condition of maslessness is a sum of two independent chiral superfields with each of them corresponding to...
1994-09-20
2019-09-25
[ "hep-th" ]
S. Fedoruk, V.G. Zima
hep-th/9409114
How Strings Make Do without Supersymmetry: An Introduction to Misaligned Supersymmetry
We provide a non-technical introduction to "misaligned supersymmetry", a generic phenomenon in string theory which describes how the arrangement of bosonic and fermionic states at all string energy levels conspires to preserve finite string amplitudes even in the absence of spacetime supersymmetry. Misaligned supersymm...
1994-09-20
2016-09-06
[ "hep-th", "hep-ph" ]
Keith R. Dienes (Institute for Advanced Study, Princeton)
hep-th/9409116
Coherent states, Path integral, and Semiclassical approximation
Using the generalized coherent states we argue that the path integral formulae for $SU(2)$ and $SU(1,1)$ (in the discrete series) are WKB exact,if the starting point is expressed as the trace of $e^{-iT\hat H}$ with $\hat H$ being given by a linear combination of generators. In our case,WKB approximation is achieved by...
1994-09-20
2010-11-01
[ "hep-th" ]
K.Funahashi, T.Kashiwa, S.Sakoda, K.Fujii
hep-th/9409111
Is Supersymmetry Really Broken?
In 2 + 1 dimensions, in the presence of gravity, supersymmetry can ensure the vanishing of the cosmological constant without requiring the equality of bose and fermi masses.
1994-09-19
2010-04-07
[ "hep-th" ]
Edward Witten
hep-th/9409105
Structures Symplectiques sur les Espaces de Courbes Projectives et Affines
A symplectic structure on the space of nondegenerate and nonparametrized curves in a locally affine manifold is defined. We also consider several interesting spaces of nondegenerate projective curves endowed with Poisson structures. This construction connects the Virasoro algebra and the Gel'fand-Dikii bracket with the...
1994-09-19
2009-10-28
[ "hep-th", "math.SG" ]
L. Guieu, V. Yu. Ovsienko
hep-th/9409115
Path-ordered Phase Factors in Scalar Quantum Electrodynamics
Starting from linear equations for the complex scalar field, the two- and three-point Green's functions are obtained in the infrared approximation. We show that the infrared singularity factorizes in the vertex function as in spinorial QED, reproducing in a straightforward way the result of lenghty perturbative calcula...
1994-09-19
2017-02-01
[ "hep-th" ]
B. M. Pimentel and J. L. Tomazelli
hep-th/9409102
Bound States of the Hydrogen Atom in the Presence of a Magnetic Monopole Field and an Aharonov-Bohm Potential
In the present article we analyze the bound states of an electron in a Coulomb field when an Aharonov-Bohm field as well as a magnetic Dirac monopole are present. We solve, via separation of variables, the Schr\"odinger equation in spherical coordinates and we show how the Hydrogen energy spectrum depends on the Aharon...
1994-09-19
2009-10-28
[ "hep-th" ]
Victor M. Villalba
hep-th/9409131
Asymptotic Classification of Solutions of the Discrete Painlev\'E-1 Equation
The main subject of the paper is the so-called Discrete Painlev\'e-1 Equation (DP1). Solutions of the DP1 are classified under criterion of their behavior while argument tends to infinity. The appropriate theorems of existence are proved.
1994-09-19
2007-05-23
[ "hep-th" ]
V.L.Vereschagin
hep-th/9409112
Non-Perturbative Decoupling of Heavy Fermions
We show that heavy fermions decouple from the low energy physics also in non-perturbative instanton effects. Provided the heavy fermions are lighter than the symmetry breaking scale, all the instanton effects should be expressed as local operators in the effective Lagrangian. The effective theory itself doesn't admit i...
1994-09-19
2009-10-28
[ "hep-th", "hep-ph" ]
Moshe Rozali
hep-th/9409104
General solution of the Wess-Zumino consistency condition for Einstein gravity
The Wess-Zumino consistency condition for four-dimensional Einstein gravity is investigated in the space of local forms involving the fields, the ghosts, the antifields and their derivatives. Its general solution is constructed for all values of the form degree and of the ghost number. It is shown in particular that th...
1994-09-19
2010-01-06
[ "hep-th" ]
G. Barnich, F. Brandt and M. Henneaux
hep-th/9409103
Anomaly and Thermodynamics for 2D Spinors in the Aharonov--Bohm Gauge Field
The axial anomaly is computed for Euclidean Dirac fermions on the plane. The dependence upon the self-adjoint extensions of the Dirac operator is investigated and its relevance concerning the second virial coefficient of the anyon gas is discussed.
1994-09-19
2007-05-23
[ "hep-th" ]
P. Giacconi, F. Maltoni and R. Soldati
hep-th/9409101
A Note on String Field Theory in the Temporal Gauge
In this note, we review the recent developments in the string field theory in the temporal gauge. (Based on a talk presented by N.I. in the workshop {\it Quantum Field Theory, Integrable Models and Beyond}, Yukawa Institute for Theoretical Physics, Kyoto University, 14-18 February 1994.)
1994-09-19
2008-11-26
[ "hep-th" ]
M. Ikehara, N. Ishibashi, H. Kawai, T. Mogami, R. Nakayama and N. Sasakura
hep-th/9409113
Derivative Expansion of the Effective Action and Vacuum Instability for QED in 2+1 Dimensions
We investigate the effective action of 2+1 dimensional charged spin 1/2 fermions and spin 0 bosons in the presence of a $U(1)$ gauge field. We evaluate terms in an expansion up to second order in derivatives of the field strength, but exactly in the mass parameter and in the magnitude of the nonvanishing constant field...
1994-09-19
2009-12-30
[ "hep-th", "cond-mat", "hep-ph" ]
Daniel Cangemi, Gerald Dunne and Eric D'Hoker
hep-th/9409107
k-Anomalies and Space-Time Supersymmetry in the Green-Schwarz Heterotic Superstring
The computation of $\kappa$-anomalies in the Green-Schwarz heterotic superstring sigma-model and the corresponding Wess-Zumino consistency condition constitute a powerful alternative approach for the derivation of manifestly supersymmetric string effective actions. With respect to the beta-function approach this techni...
1994-09-19
2009-10-28
[ "hep-th" ]
A.Candiello, K.Lechner and M.Tonin
hep-th/9409110
On the Geometric Interpretation of N = 2 Superconformal Theories
We clarify certain important issues relevant for the geometric interpretation of a large class of N = 2 superconformal theories. By fully exploiting the phase structure of these theories (discovered in earlier works) we are able to clearly identify their geometric content. One application is to present a simple and nat...
1994-09-19
2009-10-28
[ "hep-th" ]
Paul Aspinwall and Brian Greene
hep-th/9409106
Deformed Poincare Algebra and Field Theory
We examine deformed Poincar\'e algebras containing the exact Lorentz algebra. We impose constraints which are necessary for defining field theories on these algebras and we present simple field theoretical examples. Of particular interest is a case that exhibits improved renormalization properties.
1994-09-19
2009-12-04
[ "hep-th" ]
Alexandros A. Kehagias, Patrick A.A. Meessen and George Zoupanos
hep-th/9409109
Confining Flux Tubes in a Current Algebra Approach
We describe flux tubes and their interactions in a low energy sigma model induced by $SU({N_f}) \rightarrow SO({N_f})$ flavor symmetry breaking in $SO(N_c)$ QCD. Unlike standard QCD, this model allows gauge confinement to manifest itself in the low energy theory, which has unscreened spinor color sources and global $Z_...
1994-09-19
2010-11-01
[ "hep-th", "hep-ph" ]
K.M. Benson and M. Saadi
hep-th/9409108
Painleve III and 2D Polymers
Recently the scaling function of the dilute non-contractible self-avoiding 2D polymer loop on a cylinder was related to the Painleve III transcendent. Using the perturbation theory, the thermidynamic Bethe ansatz and numerical calculations we argue a similar relation for the contractible self-avoiding loop.
1994-09-19
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
Al. Zamolodchikov
hep-th/9409098
Large N Gauge Theory -- Expansions and Transitions
We use solvable two-dimensional gauge theories to illustrate the issues in relating large N gauge theory to string theory. We also give an introduction to recent mathematical work which allows constructing master fields for higher dimensional large N theories. We illustrate this with a new derivation of the Hopf equati...
1994-09-18
2009-10-28
[ "hep-th" ]
Michael R. Douglas
hep-th/9409099
Supersymmetry and SU(2)xU(1) breaking with naturally vanishing vacuum energy
We show how the spontaneous breaking of local N=1 supersymmetry and of the SU(2)xU(1) gauge symmetry can be simultaneously realized, with naturally vanishing tree-level vacuum energy, in superstring effective supergravities. Both the gravitino mass m_{3/2} and the electroweak scale m_Z are classically undetermined, and...
1994-09-18
2010-11-01
[ "hep-th", "hep-ph" ]
A.Brignole and F.Zwirner
hep-th/9409100
The quantum Poincare group from quantum group contraction
We propose a contraction of the de Sitter quantum group leading to the quantum Poincare group in any dimensions. The method relies on the coaction of the de Sitter quantum group on a non--commutative space, and the deformation parameter $q$ is sent to one. The bicrossproduct structure of the quantum Poincar\'e group is...
1994-09-18
2009-10-28
[ "hep-th" ]
Philippe Zaugg
hep-th/9409097
On the non-relativistic limit of the quantum sine-Gordon model with integrable boundary condition
We show that the the generalized Calogero-Moser model with boundary potential of the P\"oschl-Teller type describes the non-relativistic limit of the quantum sine-Gordon model on a half-line with Dirichlet boundary condition.
1994-09-17
2009-10-28
[ "hep-th" ]
A.Kapustin, S.Skorik
hep-th/9409093
Free-Field Representation of Group Element for Simple Quantum Group
A representation of the group element (also known as ``universal ${\cal T}$-matrix'') which satisfies $\Delta(g) = g\otimes g$, is given in the form $$ g = \left(\prod_{s=1}^{d_B}\phantom.^>\ {\cal E}_{1/q_{i(s)}}(\chi^{(s)}T_{-i(s)})\right) q^{2\vec\phi\vec H} \left(\prod_{s=1}^{d_B}\phantom.^<\ {\cal E}_{q_{i(s)}}(\p...
1994-09-16
2016-09-06
[ "hep-th" ]
Alexei Morozov and Luc Vinet
hep-th/9409095
Duality Symmetries and Supersymmetry Breaking in String Compactifications
We discuss the spontaneous supersymetry breaking within the low-energy effective supergravity action of four-dimensional superstrings. In particular, we emphasize the non-universality of the soft supersymmetry breaking parameters, the $\mu$-problem and the duality symmetries.
1994-09-16
2016-09-06
[ "hep-th", "hep-ph" ]
G. Lopes Cardoso, D. Lust and Thomas Mohaupt
hep-th/9409096
GUT's with Adjoint Higgs from Superstrings
I discuss how effective grand unified theories requiring adjoint Higgs fields for breaking to the standard model can be contained within string theory. Initial findings are presented in a search for and classification of effective three generation SO(10) SUSY-GUT models built using the free-fermionic string approach. B...
1994-09-16
2009-09-25
[ "hep-th", "hep-ph" ]
Gerald B. Cleaver
hep-th/9409094
Trees, forests and jungles: a botanical garden for cluster expansions
Combinatoric formulas for cluster expansions have been improved many times over the years. Here we develop some new combinatoric proofs and extensions of the tree formulas of Brydges and Kennedy, and test them on a series of pedagogical examples.
1994-09-16
2009-10-28
[ "hep-th" ]
A. Abdesselam and V. Rivasseau
hep-th/9409090
Noncommutative symmetric functions and Laplace operators for classical Lie algebras
New systems of Laplace (Casimir) operators for the orthogonal and symplectic Lie algebras are constructed. The operators are expressed in terms of paths in graphs related to matrices formed by the generators of these Lie algebras with the use of some properties of the noncommutative symmetric functions associated with ...
1994-09-16
2009-10-28
[ "hep-th", "math.QA" ]
Alexander Molev
hep-th/9409092
N=2 Supersymmetric Calabi-Yau Hypersurface Sigma-Models on Curved Two-Dimensions
We consider the effect of curved two-dimensional space-time on Witten's $N=2$ supersymmetric sigma models interpolating Calabi-Yau hypersurfaces to Landau-Ginzburg models. In order for the former models to have significant connection to superstring theory, only the $N=(1,1)$ or $N=(1,0)$ part of the total $N=(2,2)$ wor...
1994-09-16
2009-10-28
[ "hep-th" ]
Hitoshi Nishino
hep-th/9409085
Path-Integral bosonization of a non-local interaction and its application to the study of 1-d many-body systems
We extend the path-integral approach to bosonization to the case in which the fermionic interaction is non-local. In particular we obtain a completely bosonized version of a Thirring-like model with currents coupled by general (symmetric) bilocal potentials. The model contains the Tomonaga-Luttinger model as a special ...
1994-09-15
2009-10-28
[ "hep-th" ]
C.M.Na\'on, M.C.von Reichenbach and M.L.Trobo
hep-th/9409087
Quantum Dynamical Approach of Wavefunction Collapse in Measurement Process and Its Application to Quantum Zeno Effect
The systematical studies on the dynamical approach of wavefunction collapse in quantum measurement are reported in this paper based on the Hepp-Coleman's model and its generalizations. Under certain physically reasonable conditions, which are easily satisfied by the practical problems, it is shown that the off-diagonal...
1994-09-15
2009-10-28
[ "hep-th" ]
Chang-Pu Sun (Institute of Theoretical Physics, Northeast Normal University, Changchun 130024,\hspace{1cm} P.R.China)
hep-th/9409089
The World as a Hologram
According to 't Hooft the combination of quantum mechanics and gravity requires the three dimensional world to be an image of data that can be stored on a two dimensional projection much like a holographic image. The two dimensional description only requires one discrete degree of freedom per Planck area and yet it is ...
1994-09-15
2009-10-07
[ "hep-th" ]
L. Susskind
hep-th/9409091
A Measure on a Subspace of FRW Solutions and ``The Flatness Problem" of Standard Cosmology
We use the metric on the space of gravity fields given by DeWitt to construct a unique kinematic measure on the space of FRW simple fluids and show that when the mass parameter $\Omega$ is used as a coordinate this measure is singular at $\Omega = 1$. This singularity, combined with the time evolution of $\Omega$, dist...
1994-09-15
2009-10-28
[ "hep-th" ]
H. T. Cho and R. Kantowski
hep-th/9409088
Topics in Quantum Geometry of Riemann Surfaces: Two-Dimensional Quantum Gravity
Lectures given at International School of Physics ``Enrico Fermi'', Varenna, Villa Monastero, June 28-July 7 1994
1994-09-15
2008-02-03
[ "hep-th", "math.QA" ]
Leon Takhtajan
hep-th/9409084
Light Front Quantisation of Gauge Theories in a Finite Volume
We discuss the light-front formulation of SU(2) Yang-Mills theory on a torus. The gauge choice we use allows for an exact and unambiguous solution of Gauss's law.
1994-09-15
2009-10-28
[ "hep-th", "hep-ph" ]
Thomas Heinzl
hep-th/9409086
Quantum Dynamics for the Control of Atomic State by a Quantized Optical Ring Cavity
A generalized approach of the Born-Oppenheimer approximation is developed to analytically deal with the influence exercised by the spatial motion of atom's mass-center on a two-level atom in an optical ring cavity with a quantized single-mode electromagnetic field. The explicit expressions of tunneling rate are obtaine...
1994-09-15
2007-05-23
[ "hep-th" ]
Chang-Pu Sun (ITP, Northeast Normal University, China)
hep-th/9409078
(1,0) superparticle in a curved background and the full set of (1,0) supergravity constraints
The classical (1,0) superparticle in a curved superspace is considered. The minimal set of constraints to be imposed on the background for correct inclusion of interaction is found. The most general form of Siegel-type local fermionic symmetry is presented. Local algebra of the theory is shown to be closed off-shell an...
1994-09-14
2007-05-23
[ "hep-th" ]
A.A. Deriglazov and A.V. Galajinsky
hep-th/9409075
Integrals of motion of classical lattice sine-Gordon system
We compute the local integrals of motions of the classical limit of the lattice sine-Gordon system, using a geometrical interpretation of the local sine-Gordon variables. Using an analogous description of the screened local variables, we show that these integrals are in involution. We present some remarks on relations ...
1994-09-14
2011-04-20
[ "hep-th" ]
B. Enriquez and B.L. Feigin
hep-th/9409077
A comment on ``On Non-Abelian Duality'' by Enrique \'Alvarez, Luis \'Alvarez-Gaum\'e and Yolanda Lozano
The paper commented upon gives the impression that whether the gauged version of a sigma model gives rise to the original or the dual model depends on the choice of gauge fixing. It is demonstrated here that this is not so.
1994-09-14
2007-05-23
[ "hep-th" ]
Harald Skarke
hep-th/9409074
Chern-Simons Quantization of (2+1)-Anti-De Sitter Gravity on a Torus
Chern-Simons formulation of 2+1 dimensional Einstein gravity with a negative cosmological constant is investigated when the spacetime has the topology $ R\times T^{2}$. The physical phase space is shown to be a direct product of two sub-phase spaces each of which is a non-Hausdorff manifold plus a set with nonzero codi...
1994-09-14
2010-04-06
[ "hep-th" ]
Kiyoshi Ezawa
hep-th/9409079
Representations at a Root of Unity of q-Oscillators and Quantum Kac-Moody algebras
Here is a list of chapters: 1 Introduction 2 Notation and preliminaries Part I: Finite quantum groups 3 2x2 Matrix quantum groups and the quantum plane 4 Quantum enveloping algebras at a root of unity Part II: q-Oscillators 5 Representations of q-oscillators at a root of unity 6 qr-Oscillator at a root ...
1994-09-14
2008-02-03
[ "hep-th", "math.QA" ]
Jens-U. H. Petersen
hep-th/9409081
BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables
The BRST transformations for the Yang-Mills gauge fields in the presence of gravity described by Ashtekar variables are obtained by using the so-called Maurer-Cartan horizontality conditions. The BRST cohomology group expressed by the Wess-Zumino consistency condition is solved with the help of an operator $\delta$ int...
1994-09-14
2007-05-23
[ "hep-th" ]
O. Moritsch, M. Schweda, T. Sommer, L. Tataru and H. Zerrouki
hep-th/9409080
A Complete Perturbative Expansion for Constrained Quantum Dynamics
A complete perturbative expansion for the Hamiltonian describing the motion of a quantomechanical system constrained to move on an arbitrary submanifold of its configuration space $R^n$ is obtained.
1994-09-14
2009-10-28
[ "hep-th" ]
P. Maraner
hep-th/9409082
String Rearrangement of Gauge Theories
Feynman diagram expressions in ordinary field theories can be written in a string-like manner. The methods and the advantages for doing so are briefly discussed.
1994-09-14
2009-09-25
[ "hep-th", "hep-ph" ]
C.S. Lam
hep-th/9409083
String Organization of Field Theories: Duality and Gauge Invariance
String theories should reduce to ordinary four-dimensional field theories at low energies. Yet the formulation of the two are so different that such a connection, if it exists, is not immediately obvious. With the Schwinger proper-time representation, and the spinor helicity technique, it has been shown that field theo...
1994-09-14
2009-10-28
[ "hep-th", "hep-ph" ]
Y.J. Feng and C.S. Lam
hep-th/9409076
Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of inhomegeneity to the scattering amplitudes in the bulk. The factorization condition ...
1994-09-14
2009-10-28
[ "hep-th", "cond-mat" ]
G. Delfino, G. Mussardo and P. Simonetti
hep-th/9409071
Discrete-time Calogero-Moser Model and Lattice KP Equations
We introduce an integrable time-discretized version of the classical Calogero-Moser model, which goes to the original model in a continuum limit. This discrete model is obtained from pole solutions of a semi-discretized version of the Kadomtsev-Petviashvili equation, leading to a finite-dimensional symplectic mapping. ...
1994-09-13
2008-02-03
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
F.W. Nijhoff and G.D. Pang
hep-th/9409073
Hard Thermal Loops, Weak Gravitational Fields and The Quark Gluon Energy Momentum Tensor
We use an auxiliary field construction to discuss the hard thermal loop effective action associated with massless thermal SU(N) QCD interacting with a weak gravitational field. It is demonstrated that the previous attempt to derive this effective action has only been partially successful and that it is presently only k...
1994-09-13
2009-10-28
[ "hep-th" ]
E.A.Gaffney
hep-th/9409072
Axial-Vector Duality as a Mirror Symmetry
We study $N=2$ supersymmetric $SU(2)/U(1)$ and $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten models. It is shown that the vector gauged model is transformed to the axial gauged model by a mirror transformation. Therefore the vector gauged model and the axial gauged model are equivalent as $N=(2,2)$ superconformal field theo...
1994-09-13
2009-10-28
[ "hep-th" ]
Tomomi Muto
hep-th/9409062
Heterotic Coset Models
A description is given of how to construct (0,2) supersymmetric conformal field theories as coset models. These models may be used as non-trivial backgrounds for Heterotic String Theory. They are realised as a combination of an anomalously gauged Wess-Zumino-Witten model, right-moving supersymmetric fermions, and left-...
1994-09-12
2009-10-28
[ "hep-th" ]
Clifford V. Johnson
hep-th/9409065
Space of second order linear differential operators as a module over the Lie algebra of vector fields
The space of linear differential operators on a smooth manifold $M$ has a natural one-parameter family of $Diff(M)$ (and $Vect(M)$)-module structures, defined by their action on the space of tensor-densities. It is shown that, in the case of second order differential operators, the $Vect(M)$-module structures are equiv...
1994-09-12
2007-05-23
[ "hep-th" ]
C.Duval and V.Ovsienko
hep-th/9409067
Extensions of Virasoro group and Virasoro algebra by modules of tensor-densities on $S^1$
We classify non-trivial (non-central) extensions of the group $Diff^+(S^1)$ of all diffeomorphisms of the circle preserving its orientation and of the Lie algebra $Vect (S^1)$ of vector fields on $S^1$, by the modules of tensor-densities on $S^1$. The result is: 4 non-trivial extensions of $Diff^+(S^1)$ and 7 non-trivi...
1994-09-12
2019-08-17
[ "hep-th" ]
V.Ovsienko, C.Roger
hep-th/9409070
$Q$-Meromorphic Functions, Quantums sets and Homomorphisms of the Quantum Plane
In this paper which is the completion of [1], we construct the $A_0(q)$-algebra of $Q$-meromorphic functions on the quantum plane. This is the largest non-commutative, associative, $A_0(q)$-algebra of functions constructed on the quantum plane. We also define the notion of quantum subsets of R$^2$ which is a generaliza...
1994-09-12
2008-02-03
[ "hep-th", "math.QA" ]
A. Shafei Deh Abad, V. Milani
hep-th/9409063
Homotopy G-algebras and moduli space operad
This paper emphasizes the ubiquitous role of moduli spaces of algebraic curves in associative algebra and algebraic topology. The main results are: (1) the space of an operad with multiplication is a homotopy Gerstenhaber (i.e., homotopy graded Poisson) algebra; (2) the singular cochain complex is naturally an operad; ...
1994-09-12
2024-09-25
[ "hep-th", "dg-ga", "math.AT", "math.DG", "math.QA" ]
Murray Gerstenhaber and Alexander A. Voronov
hep-th/9409068
Quasi-Exactly-Solvable Differential Equations
A general classification of linear differential and finite-difference operators possessing a finite-dimensional invariant subspace with a polynomial basis is given. The main result is that any operator with the above property must have a representation as a polynomial element of the universal enveloping algebra of the ...
1994-09-12
2008-02-03
[ "hep-th", "funct-an", "math.FA" ]
Alexander Turbiner
hep-th/9409069
On the Algebraic Structure of Gravitational Descendants in CP(n-1) Coset Models
We investigate how specific free-field realizations of twisted N=2 supersymmetric coset models give rise to natural extensions of the ``matter'' Hilbert spaces in such a manner as to incorporate the various gravitational excitations. In particular, we show that adopting a particular screening prescription is equivalent...
1994-09-12
2009-10-28
[ "hep-th" ]
W. Lerche and N.P. Warner
hep-th/9409066
Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models
We introduce a parametrization of the coupling constant space of the generalized Kontsevich models in terms of a set of moments equivalent to those introduced recently in the context of topological gravity. For the simplest generalization of the Kontsevich model we express the moments as elementary functions of the sus...
1994-09-12
2009-10-28
[ "hep-th" ]
C. Kristjansen
hep-th/9409064
Non-Perturbative Solution of Matrix Models Modified by Trace-Squared Terms
We present a non-perturbative solution of large $N$ matrix models modified by terms of the form $ g(\Tr\Phi^4)^2$, which add microscopic wormholes to the random surface geometry. For $g<g_t$ the sum over surfaces is in the same universality class as the $g=0$ theory, and the string susceptibility exponent is reproduced...
1994-09-12
2009-10-28
[ "hep-th" ]
Igor R. Klebanov and Akikazu Hashimoto
hep-th/9409061
Heterotic Cosets
A description is given of how to construct $(0,2)$ supersymmetric conformal field theories as coset models. These models may be used as non--trivial backgrounds for Heterotic String Theory. They are realised as a combination of an anomalously gauged Wess--Zumino--Witten model, right--moving supersymmetric fermions, and...
1994-09-11
2008-02-03
[ "hep-th" ]
Clifford V. Johnson
hep-th/9409058
*-Structures on Braided Spaces
$*$-structures on quantum and braided spaces of the type defined via an R-matrix are studied. These include $q$-Minkowski and $q$-Euclidean spaces as additive braided groups. The duality between the $*$-braided groups of vectors and covectors is proved and some first applications to braided geometry are made.
1994-09-11
2009-10-28
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9409060
Exact SU(2)*U(1) Stringy Black Holes
Extreme magnetic dilaton black holes are promoted to exact solutions of heterotic string theory with unbroken supersymmetry. With account taken of alpha' corrections this is accomplished by supplementing the known solutions with SU(2) Yang-Mills vectors and scalars in addition to the already existing Abelian U(1) vecto...
1994-09-11
2009-12-30
[ "hep-th", "gr-qc" ]
R. Kallosh and T. Ortin
hep-th/9409059
The Inhomogeneity Expansion for Planar Q.E.D in a Magnetic Background
The effective action for Q.E.D in external magnetic field is constructed using the method of inhomogeneity expansion. We first treat the non-relativistic case where a Chern-Simons like term is generated. We then consider the full relativistic theory and derive the effective action for the $A_{\mu}$ fields. In the non...
1994-09-11
2007-05-23
[ "hep-th", "cond-mat" ]
Gil Gat, Alpan Raval and Rashmi Ray
hep-th/9409051
On Hurwitz Transformations
A bibliography on the Hurwitz transformations is given. We deal here, with some details, with two particular Hurwitz transformations, viz, the $\grq \to \grt$ Kustaanheimo-Stiefel transformation and its $\grh \to \grc$ compact extension. These transformations are derived in the context of Fock-Bargmann-Schwinger calcul...
1994-09-10
2007-05-23
[ "hep-th" ]
M. Hage Hassan and M. Kibler
hep-th/9409052
Topological Quantum Groups, Star Products and their relations
This short summary of recent developments in quantum compact groups and star products is divided into 2 parts. In the first one we recast star products in a more abstract form as deformations and review its recent developments. The second part starts with a rapid presentation of standard quantum group theory and its pr...
1994-09-10
2008-02-03
[ "hep-th", "math.QA" ]
M. Flato and D. Sternheimer
hep-th/9409056
Some Remarks on the Quantum Double
We recall the abstract theory of Hopf algebra bicrossproducts and double cross products due to the author. We use it to develop some less-well known results about the quantum double as a twisting, as an extension and as $q$-Lorentz group.
1994-09-10
2009-10-28
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9409053
Closedness of star products and cohomologies
We first review the introduction of star products in connection with deformations of Poisson brackets and the various cohomologies that are related to them. Then we concentrate on what we have called ``closed star products" and their relations with cyclic cohomology and index theorems. Finally we shall explain how quan...
1994-09-10
2008-02-03
[ "hep-th", "math.QA" ]
Mosh\'e Flato and Daniel Sternheimer
hep-th/9409057
Duality Principle and Braided Geometry
We give an overview of a new kind symmetry in physics which exists between observables and states and which is made possible by the language of Hopf algebras and quantum geometry. It has been proposed by the author as a feature of Planck scale physics. More recent work includes corresponding results at the semiclassica...
1994-09-10
2015-06-26
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9409055
Towards a Classification of Knots
We discuss the possibility of the existence of finite algorithms that may give distinct knot classes. In particular we present two attempts for such algorithms which seem promising, one based on knot projections on a plane, the other on placing knots on a cubic lattice.
1994-09-10
2008-02-03
[ "hep-th", "math.QA" ]
Charilaos Aneziris
hep-th/9409054
A star-product approach to noncompact quantum groups
Using duality and topological theory of well behaved Hopf algebras (as defined in [2]) we construct star-product models of non compact quantum groups from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras of simple Lie algebras. Our star-products act not only on coefficient functions of finite-...
1994-09-10
2009-10-28
[ "hep-th", "math.QA" ]
Fr\'ed\'eric Bidegain and Georges Pinczon
hep-th/9409048
Free q-Schrodinger Equation from Homogeneous Spaces of the 2-dim Euclidean Quantum Group
After a preliminary review of the definition and the general properties of the homogeneous spaces of quantum groups, the quantum hyperboloid qH and the quantum plane qP are determined as homogeneous spaces of Fq(E(2)). The canonical action of Eq(2) is used to define a natural q-analog of the free Schro"dinger equation,...
1994-09-09
2009-10-28
[ "hep-th" ]
F.Bonechi, N.Ciccoli, R.Giachetti, E.Sorace and M.Tarlini
hep-th/9409049
Spontaneous Symmetry Breaking as the Mechanism of Quantum Measurement
It is proposed that an event that constitutes a quantum measurement corresponds to the spontaneous breaking of a symmetry in the measuring device over time.
1994-09-09
2007-05-23
[ "hep-th", "hep-ph" ]
Michael Grady
hep-th/9409045
Chiral Fermions on Quantum Four-Spheres
We construct wave functions and Dirac operator of spin $1/2$ fermions on quantum four-spheres. The construction can be achieved by the q-deformed differential calculus which is manifestly $SO(5)_q$ covariant. We evaluate the engenvalue of the Dirac operator on wave functions of the spinors and show that we can define t...
1994-09-09
2007-05-23
[ "hep-th" ]
K. Ohta and H. Suzuki
hep-th/9409044
2D Yang-Mills Theory and Topological Field Theory
Contribution to the Proceedings of the International Congress of Mathematicians 1994. We review recent developments in the physics and mathematics of Yang-Mills theory in two dimensional spacetimes. This is a condensed version of a forthcoming review by S. Cordes, G. Moore, and S. Ramgoolam.
1994-09-09
2007-05-23
[ "hep-th" ]
G. Moore
hep-th/9409047
Hawking Radiation of Dirac Fields in the (2+1)-Dimensional Black Hole space-time
By calculating the response function, we study the Hawking radiation of massless Dirac fields in the (2+1)-dimensional black hole geometry. We find that the response function has Planck distributions, with the temperature that agrees with the previous results obtained for the scalar field cases. We also find the Green'...
1994-09-09
2009-10-28
[ "hep-th" ]
S. Hyun, Y.-S. Song and J.H. Yee
hep-th/9409043
Prepotentials for (2,2) Supergravity
We present a complete solution of the constraints for two-dimensional, N=2 supergravity in N=2 superspace. We obtain explicit expressions for the covariant derivatives in terms of the vector superfield $H^m$ and, for the two versions of minimal (2,2) supergravity, a chiral or twisted chiral scalar superfield $\phi$.
1994-09-09
2015-06-26
[ "hep-th", "gr-qc" ]
Marcus T. Grisaru and Marcia E. Wehlau
hep-th/9409050
Gauge Fields Emerging From Extra Dimensions a Born-Oppenheimer approach
We propose a dynamical mechanism to induce gauge fields in four dimensional space-time from a single scalar field or a spinor field in higher dimensions. The Born-Oppenheimer treatment of the extra dimensions is an essential ingredient in our approach. A possible applications of the idea to low dimensional condensed ma...
1994-09-09
2007-05-23
[ "hep-th", "cond-mat", "hep-ph" ]
T. Hatsuda and H. Kuratsuji
hep-th/9409046
Algebraic structure of gravity in Ashtekar variables
The BRST transformations for gravity in Ashtekar variables are obtained by using the Maurer-Cartan horizontality conditions. The BRST cohomology in Ashtekar variables is calculated with the help of an operator $\delta$ introduced by S.P. Sorella, which allows to decompose the exterior derivative as a BRST commutator. T...
1994-09-09
2009-10-28
[ "hep-th" ]
P.A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru and H. Zerrouki
hep-th/9409040
The Quantum Group as a Symmetry - The Schr\"odinger equation of the $N$-dimensional $q$-deformed Harmonic Oscillator -
With the aim to construct a dynamical model with quantum group symmetry, the $q$-deformed Schr\"odinger equation of the harmonic oscillator on the $N$-dimensional quantum Euclidian space is investigated. After reviewing the differential calculus on the $q$-Euclidian space, the $q$-analog of the creation-annihilation op...
1994-09-08
2008-11-26
[ "hep-th" ]
Ursula Carow-Watamura and Satoshi Watamura
hep-th/9409042
QCD Flux Tubes as Sigma Model Relics
We describe flux tubes and their interactions in a low energy sigma model induced by $SU(\NF) \goto SO(\NF)$ flavor symmetry breaking in $SO(N_c)$ QCD. Gauge confinement manifests itself in the low energy theory through flux tube interactions with unscreened sources. The flux tubes which mediate confinement also illust...
1994-09-08
2009-10-28
[ "hep-th", "hep-ph" ]
K.M. Benson, A.V. Manohar and M. Saadi
hep-th/9409041
Odd-Parity Negative Modes of Einstein-Yang-Mills Black Holes and Sphalerons
An analytical proof of the existence of negative modes in the odd--parity perturbation sector is given for all known non-abelian Einstein--Yang--Mills black holes. The significance of the normalizability condition in the functional stability analysis is emphasized. The role of the odd--parity negative modes in the spha...
1994-09-08
2014-11-18
[ "hep-th", "gr-qc" ]
Mikhail S.Volkov and Dmitri D.Gal'tsov
hep-th/9409039
Consequence of Hawking radiation from 2d dilaton black holes
We investigate the CGHS model through numerical calculation. The behavior of the mass function, which we introduced in our previous work as a ``local mass'', is examined. We found that the mass function takes negative values, which means that the amount of Hawking radiation becomes greater than the initial mass of the ...
1994-09-08
2010-11-01
[ "hep-th" ]
Tsukasa Tada, Shozo Uehara
hep-th/9409037
ALE Instantons in String Effective Theory
We show that the classical equations of motion of the low-energy effective field theory describing the massless modes of the heterotic (or type I) string admit two classes of supersymmetric self--dual backgrounds. The first class, which was already considered in the literature, consists of solutions with a (conformally...
1994-09-07
2009-10-28
[ "hep-th" ]
M.Bianchi, F.Fucito, M.Martellini and G.C.Rossi
hep-th/9409036
Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities
We study the structure of quantized enveloping algebras called twisted Yangians, which are naturally associated with the B, C, and D series of the classical Lie algebras. We obtain an explicit formula for the formal series (the Sklyanin determinant) whose coefficients are free generators of the center of the twisted Ya...
1994-09-07
2007-05-23
[ "hep-th" ]
Alexander Molev
hep-th/9409038
Unification of the Soluble Two-dimensional vector coupling models
The general theory of a massless fermion coupled to a massive vector meson in two dimensions is formulated and solved to obtain the complete set of Green's functions. Both vector and axial vector couplings are included. In addition to the boson mass and the two coupling constants, a coefficient which denotes a particul...
1994-09-07
2009-10-28
[ "hep-th" ]
C.R. Hagen
hep-th/9409034
Contravariant symbol quantization on $S^2$
We define an algebra of contravariant symbols on $S^2$ and give an algebraic proof of the Correspondence Principle for that algebra.
1994-09-06
2007-05-23
[ "hep-th" ]
A.V.Karabegov
hep-th/9409035
On the Breathers of $a_n^{(1)}$ Affine Toda Field Theory
Explicit constructions of $a_n^{(1)}$ affine Toda field theory breather solutions are presented. Breathers arise either from two solitons of the same species or from solitons which are anti-species of each other. In the first case, breathers carry topological charges. These topological charges lie in the tensor product...
1994-09-06
2009-10-28
[ "hep-th" ]
U. Harder, A. Iskandar and W. McGhee