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hep-th/9404023
q-deformed Dirac Monopole With Arbitrary Charge
We construct the deformed Dirac monopole on the quantum sphere for arbitrary charge using two different methods and show that it is a quantum principal bundle in the sense of Brzezinski and Majid. We also give a connection and calculate the analog of its Chern number by integrating the curvature over $S^2_q$.
1994-04-05
2015-06-26
[ "hep-th" ]
Chong-Sun Chu, Pei-Ming Ho and Harold Steinacker
hep-th/9404020
Renormalization group effects in the conformal sector of 4d quantom gravity with matter
We discuss the ``gravitationally dressed'' beta functions in the Gross--Neveu model interacting with 2d Liouville theory and in $SU(N)$ gauge theory interacting with the conformal sector of 4d quantum gravity. Among the effects that we suggest may feel the gravitational dressing are the minimum of the effective potenti...
1994-04-05
2009-09-17
[ "hep-th" ]
S. Odintsov and R. Percacci
hep-th/9404017
Squeezing in a 2-D generalized oscillator
A two-dimensional generalized oscillator with time-dependent parameters is considered to study the two-mode squeezing phenomena. Specific choices of the parameters are used to determine the dispersion matrix and analytic expressions, in terms of standard hermite polynomials, of the wavefunctions and photon distribution...
1994-04-05
2007-05-23
[ "hep-th" ]
O. Casta\~nos, R. L\'opez-Pe\~na and V.I. Man'ko
hep-th/9404022
Phase Transition in (2+1)d Quantum Gravity
(2+1) dimensional gravity is equivalent to an exactly soluble non-Abelian Chern-Simons gauge field theory (E Witten 1988). Regarding this as the topological phase of quantum gravity in (2+1)d, we suggest a topological symmetry breaking by introducing a mass term for the gauge fields, which carries a space-time metric a...
1994-04-05
2007-05-23
[ "hep-th", "hep-ph" ]
Wei Chen (Univ of North Carolina)
hep-th/9404021
A Free Field Representation of the Screening Currents of $U_q(\widehat{sl(3)})
We construct five independent screening currents associated with the $U_q(\widehat{sl(3)})$ quantum current algebra. The screening currents are expressed as exponentials of the eight basic deformed bosonic fields that are required in the quantum analogue of the Wakimoto realization of the current algebra. Four of the s...
1994-04-05
2015-06-26
[ "hep-th" ]
A.H. Bougourzi and Robert A. Weston
hep-th/9404015
Self-Dual Charged Vortices of Finite Energy per Unit Length in $3+1$ Dimensions
We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit length is obtained as a linear combination of the magnetic flux and the electric c...
1994-04-04
2007-05-23
[ "hep-th" ]
Pijush K. Ghosh and Avinash Khare
hep-th/9404012
Coulomb Gas Representation of the SU(2) WZW Correlators at Higher Genera
We express the correlation functions of the SU(2) WZW conformal field theory on Riemann surfaces of genus >1 by finite dimensional integrals.
1994-04-04
2009-10-28
[ "hep-th" ]
Krzysztof Gawedzki
hep-th/9404014
Finite Temperature and Density Effects in Planar Q.E.D
The behavior of finite temperature planar electrodynamics is investigated. We calculate the static as well as dynamic characteristic functions using real time formalism. The temperature and density dependence of dielectric and permeability functions, plasmon frequencies and their relation to the screening length is det...
1994-04-04
2015-06-26
[ "hep-th", "cond-mat" ]
G. Gat and R. Ray
hep-th/9404016
Noether's Theorem and time-dependent quantum invariants
The time dependent-integrals of motion, linear in position and momentum operators, of a quantum system are extracted from Noether's theorem prescription by means of special time-dependent variations of coordinates. For the stationary case of the generalized two-dimensional harmonic oscillator, the time-independent inte...
1994-04-04
2009-10-28
[ "hep-th" ]
O. Casta\~nos, R. L\'opez-Pe\~na and V.I. Man'ko
hep-th/9404013
Algebraic Aspects of Bethe-Ansatz
In these lectures the introduction to algebraic aspects of Bethe Ansatz is given. The applications to the seminal spin 1/2 XXX model is discussed in detail and the generalization to higher spin as well as XXZ and lattice Sine-Gordon model are indicated. The origin of quantum groups and their appearance in CFT models is...
1994-04-04
2015-06-26
[ "hep-th" ]
L. D. Faddeev
hep-th/9403196
A Geometric Model of Arbitrary Spin Massive Particle
A new model of relativistic massive particle with arbitrary spin (($m,s$)-particle) is suggested. Configuration space of the model is a product of Minkowski space and two-dimensional sphere, ${\cal M}^6 = {\Bbb R}^{3,1} \times S^2$. The system describes Zitterbewegung at the classical level. Together with explicitly re...
1994-04-03
2017-11-30
[ "hep-th" ]
S.M. Kuzenko, S.L. Lyakhovich, and A.Yu. Segal (Department of Theoretical Physics, Tomsk State University, Tomsk, Russia)
hep-th/9404009
$N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials
The $N=2$ topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact K\"{a}hler surfaces with $p_g\geq 1$ are reexamined. The $N=2$ symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as wel...
1994-04-03
2008-02-03
[ "hep-th" ]
S. Hyun and J.-S. Park
hep-th/9404008
Free Fermion Representation of a Boundary Conformal Field Theory
The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions, which provide a simple realization of a hidden $SU(2)$ symmetry of the original theo...
1994-04-02
2009-10-09
[ "hep-th" ]
J. Polchinski and L. Thorlacius
hep-th/9404011
Topological conformal field theory with a rational W potential and the dispersionless KP hierarchy
We present a new class of topological conformal field theories (TCFT) characterized by a rational $W$ potential, which includes the minimal models of A and D types as its subclasses. An explicit form of the $W$ potential is found by solving the underlying dispersionless KP hierarchy in a particular small phase space. W...
1994-04-02
2015-06-26
[ "hep-th" ]
S. Aoyama and Y. Kodama
hep-th/9404006
Supersymmetry, Trace Anomaly and Naked Singularities
We discuss stationary supersymmetric bosonic configurations of the Einstein-Maxwell theory embedded in $N=2$ supergravity. Some of these configurations, including the Kerr-Newman solutions with $m = |q|$ and arbitrary angular momentum per unit mass $a$, exhibit naked singularities. However, $N=2$ supergravity has trace...
1994-04-02
2007-05-23
[ "hep-th", "gr-qc" ]
R. Kallosh and T. Ortin
hep-th/9404007
The quantum 2-dimensional Poincare group from quantum group contraction
A new derivation of the quantum deformation of the 2 dimensional Euclidean Poincare group (cf S. Zakrzewski) is proposed. It is based on a contraction of the Hopf algebra Fun(SO_q(3)). The deformation parameter q is sent to one, as in the construction of the $\kappa$-Poincare deformed algebra. The quantum group obtaine...
1994-04-02
2009-10-28
[ "hep-th", "math.QA" ]
Philippe Zaugg
hep-th/9404010
Some Classical and Quantum Algebras
We discuss the notion of a Batalin-Vilkovisky (BV) algebra and give several classical examples from differential geometry and Lie theory. We introduce the notion of a quantum operator algebra (QOA) as a generalization of a classical operator algebra. In some examples, we view a QOA as a deformation of a commutative alg...
1994-04-02
2008-02-03
[ "hep-th", "math.QA" ]
Bong H. Lian and Gregg J. Zuckerman
hep-th/9404002
Massless scalar fields in 1+1 dimensions and Krein spaces
We consider the Krein realization of the Hilbert space for a massless scalar field in 1+1 dimensions. We find convergence criteria and the completion of the space of test functions ${\cal S}$ with the topology induced by the Krein scalar product. Finally, we show that the interpretation for the Fourier components as pr...
1994-04-01
2012-01-17
[ "hep-th", "math-ph", "math.MP" ]
A. Z. Capri, R. Ferrari, V. Montalbano
hep-th/9404005
Unitary matrix integrals in the framework of Generalized Kontsevich Model. I. Brezin-Gross-Witten Model
We advocate a new approach to the study of unitary matrix models in external fields which emphasizes their relationship to Generalized Kontsevich Models (GKM) with non-polynomial potentials. For example, we show that the partition function of the Brezin-Gross-Witten Model (BGWM), which is defined as an integral over un...
1994-04-01
2009-10-28
[ "hep-th" ]
A.Mironov, A.Morozov, G.Semenoff
hep-th/9404004
Instanton Induced Large $N$ Phase Transitions in Two and Four Dimensional QCD
The $1/N$ expansion of the weak coupling phase of two-dimensional QCD on a sphere is constructed. It is demonstrated that the phase transition from the weak to the strong coupling phase is induced by instantons. A double scaling limit of the theory at the point of the phase transition is constructed, the value of strin...
1994-04-01
2009-10-28
[ "hep-th" ]
David J. Gross and Andrei Matytsin
hep-th/9404001
Multimomentum Hamiltonian Formalism in Quantum Field Theory
The familiar generating functionals in quantum field theory fail to be true measures and, so they make the sense only in the framework of the perturbation theory. In our approach, generating functionals are defined strictly as the Fourier transforms of Gaussian measures in nuclear spaces of multimomentum canonical vari...
1994-04-01
2009-10-28
[ "hep-th" ]
G.Sardanashvily (Department of Theoretical Physics, Moscow State University, Moscow, Russia)
hep-th/9404003
Anomalies in N=2 supersymmetric non-linear sigma models on compact Kahler Ricci-flat target spaces
We analyse with the algebraic, regularisation independent, cohomological B.R.S. methods, the renormalisability of torsionless N=2 supersymmetric non-linear sigma models built on Kahler spaces. Surprisingly enough with respect to the common wisdom, we obtain an anomaly candidate, at least in the compact Ricci-flat case....
1994-04-01
2009-10-28
[ "hep-th" ]
Guy Bonneau
hep-th/9403193
Stable and Unstable Circular Strings in Inflationary Universes
It was shown by Garriga and Vilenkin that the circular shape of nucleated cosmic strings, of zero loop-energy in de Sitter space, is stable in the sense that the ratio of the mean fluctuation amplitude to the loop radius is constant. This result can be generalized to all expanding strings (of non-zero loop-energy) in d...
1994-03-31
2009-10-28
[ "hep-th" ]
A.L. Larsen
hep-th/9403194
Kahler Potentials and Renormalization Group Flows in N=2 Landau-Ginzburg Models
We examine the conditions for superconformal invariance and the specific form of the K\"ahler potential for a two-dimensional lagrangian model with $N=2$ supersymmetry and superpotential $gX^k$. Away from the superconformal point we study the renormalization group flow induced by a particular class of K\"ahler potentia...
1994-03-31
2009-10-28
[ "hep-th" ]
M.T. Grisaru and D. Zanon
hep-th/9403195
Supersymmetric Yang-Mills Theory On A Four-Manifold
By exploiting standard facts about $N=1$ and $N=2$ supersymmetric Yang-Mills theory, the Donaldson invariants of four-manifolds that admit a Kahler metric can be computed. The results are in agreement with available mathematical computations, and provide a powerful check on the standard claims about supersymmetric Yang...
1994-03-31
2010-04-07
[ "hep-th", "math.AG", "math.DG" ]
Edward Witten
hep-th/9403189
Extensions and contractions of the Lie algebra of q-pseudodifferential symbols
We construct cocycles on the Lie algebra of pseudo- and q-pseudodifferential symbols of one variable and on their close relatives: the sine-algebra and the Poisson algebra on two-torus. A ``quantum'' Godbillon-Vey cocycle on (pseudo)-differential operators appears in this construction as a natural generalization of the...
1994-03-31
2008-02-20
[ "hep-th", "math.QA" ]
Boris Khesin, Volodymyr Lyubashenko and Claude Roger
hep-th/9403192
Exact Models of Extremal Dyonic 4D Black Hole Solutions of Heterotic String Theory
Families of exact $(0,2)$ supersymmetric conformal field theories of magnetically and electrically charged extremal 4D black hole solutions of heterotic string theory are presented. They are constructed using a $(0,1)$ supersymmetric $SL(2,R)\times SU(2)$ WZW model where anomalously embedded $U(1)\times U(1)$ subgroups...
1994-03-31
2013-11-13
[ "hep-th" ]
Clifford V Johnson
hep-th/9403190
Dispersionless Toda hierarchy and two-dimensional string theory
The dispersionless Toda hierarchy turns out to lie in the heart of a recently proposed Landau-Ginzburg formulation of two-dimensional string theory at self-dual compactification radius. The dynamics of massless tachyons with discrete momenta is shown to be encoded into the structure of a special solution of this integr...
1994-03-31
2009-10-28
[ "hep-th" ]
Kanehisa Takasaki
hep-th/9403197
Non-Local Matrix Generalizations of W-Algebras
There is a standard way to define two symplectic (hamiltonian) structures, the first and second Gelfand-Dikii brackets, on the space of ordinary linear differential operators of order $m$, $L = -d^m + U_1 d^{m-1} + U_2 d^{m-2} + \ldots + U_m$. In this paper, I consider in detail the case where the $U_k$ are $n\times n$...
1994-03-31
2009-10-28
[ "hep-th", "funct-an", "math.FA" ]
Adel Bilal
hep-th/9403191
Plane Gravitational Waves in String Theory
We analyze the coset model $(E_2^c \ti E_2^c)/E_2^c$ and construct a class of exact string vacua which describe plane gravitational waves and their duals, generalizing the plane wave background found by Nappi and Witten. In particular, the vector gauging describes a two-parameter family of singular geometries with two ...
1994-03-31
2009-10-28
[ "hep-th", "gr-qc" ]
I. Antoniadis and N.A. Obers
hep-th/9403198
Exact Superpotentials in Four Dimensions
Supersymmetric gauge theories in four dimensions can display interesting non-perturbative phenomena. Although the superpotential dynamically generated by these phenomena can be highly nontrivial, it can often be exactly determined. We discuss some general techniques for analyzing the Wilsonian superpotential and demons...
1994-03-31
2009-09-15
[ "hep-th", "hep-ph" ]
K. Intriligator, R.G. Leigh and N. Seiberg
hep-th/9403188
Batalin-Tyutin Quantization of the (2+1) dimensional nonabelian Chern-Simons field theory
The (2+1) dimensional nonabelian Chern-Simons theory coupled to complex scalar fields is quantized by using the Batalin-Tyutin canonical Hamiltonian method which systematically embeds second-class constraint system into first-class one. We obtain the gauge-invariant nonabelian Wess-Zumino type action in the extended ph...
1994-03-31
2009-10-28
[ "hep-th" ]
Won Tae Kim and Young-Jai Park
hep-th/9403181
Towards a Complete Twistorization of the Heterotic String
In $D=3,4,6$ and 10 space--time dimensions considered is a string model invariant under transformations of $N=1$ space--time supersymmetry and $n=D-2$ local worldsheet supersymmetry with the both Virasoro constraints solved in the twistor form. The twistor solution survives in a modified form even in the presence of th...
1994-03-30
2015-06-26
[ "hep-th" ]
Igor A. Bandos, Martin Cederwall, Dmitrij P. Sorokin and Dmitrij V. Volkov
hep-th/9403182
Poisson--Lie contractions and quantum (1+1) groups
A Poisson--Hopf algebra of smooth functions on the (1+1) Cayley--Klein groups is constructed by using a classical $r$--matrix which is invariant under contraction. The quantization of this algebra for the Euclidean, Galilei and Poincar\'e cases is developed, and their duals are also computed. Contractions on these quan...
1994-03-30
2016-09-06
[ "hep-th", "math.QA" ]
A. Ballesteros, F. J. Herranz, M. A. del Olmo and M. Santander
hep-th/9403184
Asymptotic Level State Density for Parabosonic Strings
Making use of some results concerning the theory of partitions, relevant in number theory, the complete asymptotic behavior, for large $n$, of the level density of states for a parabosonic string is derived. It is also pointed out the similarity between parabosonic strings and membranes.
1994-03-30
2009-09-17
[ "hep-th" ]
A.A. Bytsenko, S. D. Odintsov and S. Zerbini
hep-th/9403185
$W$ Strings and Cohomology in Parafermionic Theories
By enforcing locality we relate the cohomology found in parafermionic theories to that occurring in $W$ strings. This link provides a systematic method of finding states in the cohomology of $W_{2,s}$ strings.
1994-03-30
2009-10-28
[ "hep-th" ]
P. West
hep-th/9403187
Mirror Symmetry for Two Parameter Models -- II
We describe in detail the space of the two K\"ahler parameters of the Calabi--Yau manifold $\P_4^{(1,1,1,6,9)}[18]$ by exploiting mirror symmetry. The large complex structure limit of the mirror, which corresponds to the classical large radius limit, is found by studying the monodromy of the periods about the discrimin...
1994-03-30
2010-11-01
[ "hep-th", "alg-geom", "math.AG" ]
Philip Candelas, Anamaria Font, Sheldon Katz and David R. Morrison
hep-th/9403180
On the Multilevel Field--Antifield Formalism with the Most General Lagrangian Hypergauges
The multilevel field-antifield formalism is constructed in a geometrically covariant way without imposing the unimodularity conditions on the hypergauge functions. Thus the previously given version [1,2] is extended to cover the most general case of Lagrangian surface bases. It is shown that the extra measure factors, ...
1994-03-30
2015-06-26
[ "hep-th" ]
I.A.Batalin and I.V.Tyutin
hep-th/9403172
Multimomentum Hamiltonian Formalism
The standard Hamiltonian machinery, being applied to field theory, leads to infinite-dimensional phase spaces. It is not covariant. In this article, we present covariant finite-dimensional multimomentum Hamiltonian formalism for field theory. This is the multisymplectic generalization of the Hamiltonian formalism in me...
1994-03-30
2008-02-03
[ "hep-th" ]
G.Sardanashvily (Department of Theoretical Physics, Moscow State University, Moscow, Russia)
hep-th/9403186
Exact Four-Dimensional Dyonic Black Holes and Bertotti-Robinson Spacetimes in String Theory
Conformal field theories corresponding to two-dimensional electrically charged black holes and to two-dimensional anti-de Sitter space with a covariantly constant electric field are simply constructed as $SL(2,R)/Z$ WZW coset models. The two-dimensional electrically charged black holes are related by Kaluza-Klein reduc...
1994-03-30
2009-09-17
[ "hep-th", "gr-qc" ]
David A. Lowe and Andrew Strominger
hep-th/9403183
On the Landau-Ginzburg Realization of Topological Gravities
We study the equivariant cohomology of a class of multi-field topological LG models, and find that such systems carry intrinsic information about $W$-gravity. As a result, we can construct the gravitational chiral ring in terms of LG polynomials. We find, in particular, that the spectrum of such theories seems to be ri...
1994-03-30
2011-07-19
[ "hep-th" ]
W. Lerche and A. Sevrin
hep-th/9403175
Toward QCD String: No Folds
We propose a string theory model which explains several features of two dimensional YM theory. Folds are suppressed. This in turn leads to the empty theory in flat target spaces. The Nambu-Goto action appears in the usual way. The model naturally splits into two (chiral) sectors: orientation preserving maps and orienta...
1994-03-29
2009-10-28
[ "hep-th" ]
Jacek Pawe{\l}czyk
hep-th/9403173
Nonabelian Bosonization as Duality
Applying the techniques of nonabelian duality to a system of Majorana fermions in 1+1 dimensions we obtain the level-one Wess-Zumino-Witten model as the dual theory. This makes nonabelian bosonization a particular case of a nonabelian duality transformation, generalizing our previous result (hep-th/9401105) for the abe...
1994-03-29
2009-10-28
[ "hep-th", "cond-mat", "hep-ph" ]
C.P. Burgess and F. Quevedo
hep-th/9403177
A note on chiral fermions and heterotic strings
An off-shell manifestly (8,0) worldsheet supersymmetric formulation of a multiplet describing physical chiral fermions is given. The multiplet can be used to complete the doubly supersymmetric (twistor-like) action for the heterotic string. Correction of technical errors.
1994-03-29
2009-10-28
[ "hep-th" ]
P.S. Howe
hep-th/9403179
String--Kaluza--Klein Cosmology
We generalize a five dimensional black hole solution of low energy effective string theory to arbitrary constant spatial curvature. After interchanging the signature of time and radius we reduce the 5d solution to four dimensions and obtain that way a four dimensional isotropic cosmological space time. The solution con...
1994-03-29
2011-08-17
[ "hep-th", "gr-qc" ]
K. Behrndt, S. Foerste
hep-th/9403178
Elliptic Dunkl operators, root systems, and functional equations
We consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations. These equations are solved in many cases. In particular, solutions associated with elliptic curves are constructed. In the ...
1994-03-29
2008-02-03
[ "hep-th", "math.QA" ]
V. M. Buchstaber, Giovanni Felder, A. V. Veselov
hep-th/9403174
Solitonic photons and intermediate vector bosons
A four-dimensional topological field theory is introduced which generalises $B\wedge F$ theory to give a Bogomol'nyi structure. A class of non-singular, finite-Action, stable solutions to the variational field equations is identified. The solitonic solutions are analogous to the instanton in Yang-Mills theory. The solu...
1994-03-29
2008-02-03
[ "hep-th", "hep-ph" ]
M. Temple-Raston
hep-th/9403176
A Field Theory Approach to the $t$-$J$ Model and the Spin-Charge Separation
We analyze the $t$-$J$ model using the ${\rm CP}^1$ representation for the slave operators (holons and spinons) which is particularly suited to study the phenomenon of the spin-charge separation in strongly correlated electron systems. In particular, we show that for the one-dimensional $t$-$J$ model below half-filling...
1994-03-29
2009-10-28
[ "hep-th", "cond-mat" ]
Alberto Lerda
hep-th/9403168
On the affine analogue of Jack's and Macdonald's polynomials
We define the analogue of Jack's (Jacobi) polynomials, which were defined for finite-dimensional root system by Heckman and Opdam as eigenfunctions of trigonometric Sutherland operator for the affine root system $\hat A_{n-1}$. In the affine case, we define the polynomials as eigenfunctions of "affine Sutherland operat...
1994-03-28
2008-02-03
[ "hep-th", "math.QA" ]
Pavel Etingof (Harvard), Alexander Kirillov Jr. (Yale)
hep-th/9403171
Quantum and Thermal Fluctuations in Field Theory
Blocking transformation is performed in quantum field theory at finite temperature. It is found that the manner temperature deforms the renormalized trajectories can be used to understand better the role played by the quantum fluctuations. In particular, it is conjectured that domain formation and mass parameter genera...
1994-03-28
2009-10-28
[ "hep-th" ]
Sen-Ben Liao, Janos Polonyi and Dapeng Xu
hep-th/9403169
Classical Electrodynamics with Dual Potentials
We present Dirac's method for using dual potentials to solve classical electrodynamics for an oppositely charged pair of particles, with a view to extending these techniques to non-Abelian gauge theories.
1994-03-28
2009-09-25
[ "hep-th" ]
M. Baker, James S. Ball, F. Zachariasen
hep-th/9403165
Notes on Oscillator-Like Interactions of Various Spin Relativistic Particles
The equations for various spin particles with oscillator-like interactions are discussed in this talk. Contents: 1. Comment on "The Klein-Gordon Oscillator"; 2. The Dirac oscillator in quaternion form; 3. The Dirac-Dowker oscillator; 4. The Weinberg oscillator; 5. Note on the two-body Dirac oscillator.
1994-03-28
2008-02-03
[ "hep-th", "hep-ph" ]
Valeri V. Dvoeglazov and Antonio del Sol Mesa
hep-th/9403167
Quantization of Maxwell-Chern-Simons-Podolsky Theory
We quantize a generalized electromagnetism in 2 + 1 dimensions which contains a higher-order derivative term by using Dirac's method. By introducing auxiliary fields we transform the original theory in a lower-order derivative one which can be treated in a usual way.
1994-03-28
2007-05-23
[ "hep-th" ]
A. de Souza Dutra and Marcelo Hott
hep-th/9403166
Explicit thermostatics of certain classical one-dimensional lattice models by harmonic analysis
A certain class of one-dimensional classical lattice models is considered. Using the method of abstract harmonic analysis explicit thermostatic properties of such models are derived. In particular, we discuss the low-temperature behavior of some of these models.
1994-03-28
2007-05-23
[ "hep-th", "cond-mat" ]
Georg Junker
hep-th/9403170
Models of Quantum Space Time: Quantum Field Planes
Quantum field planes furnish a noncommutative differential algebra $\Omega$ which substitutes for the commutative algebra of functions and forms on a contractible manifold. The data required in their construction come from a quantum field theory. The basic idea is to replace the ground field ${\bf C}$ of quantum planes...
1994-03-28
2007-05-23
[ "hep-th" ]
G. Mack, V. Schomerus
hep-th/9403164
Two loop results from one loop computations and non perturbative solutions of exact evolution equations
A nonperturbative method is proposed for the approximative solution of the exact evolution equation which describes the scale dependence of the effective average action. It consists of a combination of exact evolution equations for independent couplings with renormalization group improved one loop expressions of second...
1994-03-27
2009-10-28
[ "hep-th" ]
T.Papenbrock and C.Wetterich
hep-th/9403162
Finite Dimensional Representations of Quantum Affine Algebras
We give a general construction for finite dimensional representations of $U_q(\hat{\G})$ where $\hat{\G}$ is a non-twisted affine Kac-Moody algebra with no derivation and zero central charge. At $q=1$ this is trivial because $U(\hat{\G})=U({\G})\otimes \C(x,x^{-1})$ with $\G$ a finite dimensional Lie algebra. But this ...
1994-03-26
2009-10-28
[ "hep-th", "math.QA" ]
Gustav W. Delius and Yao-Zhong Zhang
hep-th/9403161
Cosmic String Nucleation near the Inflationary Phase Boundary
We investigate the nucleation of circular cosmic strings in models of generalized inflationary universes with an accelerating scale factor. We consider toy cosmological models of a smooth inflationary exit and transition into a flat Minkowski spacetime. Our results establish that an inflationary expanding phase is nece...
1994-03-26
2011-05-23
[ "hep-th" ]
Minos Axenides and Arne L. Larsen
hep-th/9403163
Fusion in the W_3 algebra
We develop the notions of fusion for representations of the W_3 algebra along the lines of Feigin and Fuchs. We present some explicit calculations for a W_3 minimal model.
1994-03-26
2022-12-13
[ "hep-th" ]
G.M.T. Watts
hep-th/9403160
Addendum to "Classical and Quantum Evolutions of the de Sitter and the anti-de Sitter Universes in 2+1 dimensions"
The previous discussion \cite{ezawa} on reducing the phase space of the first order Einstein gravity in 2+1 dimensions is reconsidered. We construct a \lq\lq correct" physical phase space in the case of positive cosmological constant, taking into account the geometrical feature of SO(3,1) connections. A parametrization...
1994-03-26
2014-11-18
[ "hep-th" ]
K. Ezawa
hep-th/9403159
Spectra of RSOS Soliton Theories
We study here the spectrum of soliton scattering theories based on interaction round the face lattice models. We take for the admissibility condition the fusion rules of each of the simple Lie algebras. It is found that the mass spectrum is given by that of the corresponding Toda theory, or, that the mass ratios of the...
1994-03-25
2007-05-23
[ "hep-th" ]
Doron Gepner
hep-th/9403155
On Non-Abelian Duality
A general study of non-abelian duality is presented. We first identify a possible obstruction to the conformal invariance of the dual theory for non-semisimple groups. We construct the exact non-abelian dual for any Wess-Zumino-Witten (WZW) model for any anomaly free subgroup, and the corresponding extension for coset ...
1994-03-25
2009-10-28
[ "hep-th" ]
Enrique \'Alvarez, Luis \'Alvarez-Gaum\'e and Yolanda Lozano
hep-th/9403154
Interrelations between Quantum Groups and Reflection Equation (Braided) Algebras
We show that the differential complex $\Omega_{B}$ over the braided matrix algebra $BM_{q}(N)$ represents a covariant comodule with respect to the coaction of the Hopf algebra $\Omega_{A}$ which is a differential extension of $GL_{q}(N)$. On the other hand, the algebra $\Omega_{A}$ is a covariant braided comodule with ...
1994-03-25
2011-07-08
[ "hep-th", "alg-geom", "math.QA" ]
A. P. Isaev
hep-th/9403156
Reply to Hagen & Sudarshan's Comment
We show that the argument in Phys Rev Lett 70 (1993) 1360 is correct and consistent, and that Hagen & Sudarshan's solution has inconsistency leading to non-vanishing commutators of $[P^1, P^2]$ and $[P^j, H]$ even in physical states. This proves that many of HS's statements in their Comment are based merely on incorrec...
1994-03-25
2009-10-28
[ "hep-th" ]
C.L. Ho and Y. Hosotani
hep-th/9403158
Worldline Green Functions for Multiloop Diagrams
We propose a multiloop generalization of the Bern-Kosower formalism, based on Strassler's approach of evaluating worldline path integrals by worldline Green functions. Those Green functions are explicitly constructed for the basic two-loop graph, and for a loop with an arbitrary number of propagator insertions. For sca...
1994-03-25
2009-10-28
[ "hep-th", "hep-ph" ]
M. G. Schmidt and C. Schubert
hep-th/9403153
q$-Deformed Chern Class, Chern-Simons and Cocycle Hierarchy
In this paper, from the $q$-gauge covariant condition we define the $q$-deformed Killing form and the second $q$-deformed Chern class for the quantum group $SU_{q}(2)$. Developing Zumino's method we introduce a $q$-deformed homotopy operator to compute the $q$-deformed Chern-Simons and the $q$-deformed cocycle hierarch...
1994-03-25
2009-10-28
[ "hep-th" ]
Bo-Yu Hou (Institute of Modern Physics, Northwest University, Xi'an, P. R. China), Bo-Yuan Hou (Graduate School, Chinese Academy of Sciences, Beijing, P. R. China), and Zhong-Qi Ma (Institute of High Energy Physics, Beijing, P. R. of China)
hep-th/9403157
Representation theory of a W-algebra from generalised DS reduction
We investigate the W-algebra resulting from Drinfel'd-Sokolov reduction of a $B_2$ WZW model with respect to the grading induced by a short root. The quantum algebra, which is generated by three fields of spin-2 and a field of spin-1, is explicitly constructed. A `free field' realisation of the algebra in terms of the ...
1994-03-25
2007-05-23
[ "hep-th" ]
P.Bowcock
hep-th/9403148
Infinite Dimensional Geometry and Quantum Field Theory of Strings. II. Infinite Dimensional Noncommutative Geometry of a Self-Interacting String Field
A geometric interpretation of quantum self-interacting string field theory is given. Relations between various approaches to the second quantization of an interacting string are described in terms of the geometric quantization. An algorithm to construct a quantum nonperturbative interacting string field theory in the q...
1994-03-24
2008-02-03
[ "hep-th", "alg-geom", "funct-an", "math.AG", "math.FA" ]
D.Juriev (D.V.Yur'ev)
hep-th/9403151
Mirror Transform and String Theory
Some aspects of Mirror symmetry are reviewed, with an emphasis on more recent results extending mirror transform to higher genus Riemann surfaces and its relation to the Kodaira-Spencer theory of gravity (talk given in the Geometry and Topology Conference, April 93, Harvard, in honor of Raoul Bott)
1994-03-24
2007-05-23
[ "hep-th" ]
Cumrun Vafa
hep-th/9403150
A Hierarchy of Superstrings
We construct a hierarchy of supersymmetric string theories by showing that the general N-extended superstrings may be viewed as a special class of the (N+1)-extended superstrings. As a side result, we find a twisted (N+2) superconformal algebra realized in the N-extended string.
1994-03-24
2009-10-28
[ "hep-th" ]
Fiorenzo Bastianelli, Nobuyoshi Ohta and Jens Lyng Petersen
hep-th/9403149
Quantum Integrals of Motion for the Heisenberg Spin Chain
An explicit expression for all the quantum integrals of motion for the isotropic Heisenberg $s=1/2$ spin chain is presented. The conserved quantities are expressed in terms of a sum over simple polynomials in spin variables. This construction is direct and independent of the transfer matrix formalism. Continuum limit...
1994-03-24
2015-06-26
[ "hep-th", "cond-mat" ]
Marek P. Grabowski and Pierre Mathieu
hep-th/9403147
Perturbative and Non-Perturbative Quarks and Gluons
BRST invariance supplies a sufficient condition for the observability of fields. We show that there is a global obstruction to the observability of quarks and gluons and argue that they will not become observables at finite temperature. We give expressions for quarks and gluons that are, however, {\it perturbatively\/}...
1994-03-24
2009-10-28
[ "hep-th", "hep-ph" ]
Martin Lavelle and David McMullan
hep-th/9403152
Negative Flows of the KP-Hierarchy
We construct a Grassmannian-like formulation for the potential KP-hierarchy including additional ``negative'' flows. Our approach will generalize the notion of a tau-function to include negative flows. We compare the resulting hierarchy with results by Hirota, Satsuma and Bogoyavlenskii.
1994-03-24
2007-05-23
[ "hep-th" ]
G. Haak
hep-th/9403139
Moving Mirror Model of Hawking Evaporation
The moving mirror model is designed to extract essential features of the black hole formation and the subsequent Hawking radiation by neglecting complication due to a finite curvature. We extend this approach to dynamically treat back reaction against the mirror motion due to Hawking radiation. It is found that a uniqu...
1994-03-23
2017-02-01
[ "hep-th", "gr-qc" ]
M.Hotta, M.Shino, and M.Yoshimura
hep-th/9403138
An operator approach to BRST invariant transition amplitudes
The transition amplitudes for the free spinless and spinning relativistic particles are obtained by applying an operator method developed long ago by Dirac and Schwinger to the BFV form of the BRST theory for constrained systems.
1994-03-23
2009-10-28
[ "hep-th" ]
Silvio J. Rabello and Arvind N. Vaidya
hep-th/9403144
Randomizing the Superstring
We find a simpler formulation of the Green-Schwarz action, for which the Wess-Zumino term is the square of supersymmetric currents, like the rest of the action. On a random lattice it gives Feynman diagrams of a particle superfield theory.
1994-03-23
2009-10-28
[ "hep-th" ]
W. Siegel
hep-th/9403141
Two and three-point functions in Liouville theory
Based on our generalization of the Goulian-Li continuation in the power of the 2D cosmological term we construct the two and three-point correlation functions for Liouville exponentials with generic real coefficients. As a strong argument in favour of the procedure we prove the Liouville equation of motion on the level...
1994-03-23
2009-10-28
[ "hep-th" ]
H. Dorn and H.-J. Otto
hep-th/9403142
Triangular dissections, aperiodic tilings and Jones algebras
The Brattelli diagram associated with a given bicolored Dynkin-Coxeter graph of type $A_n$ determines planar fractal sets obtained by infinite dissections of a given triangle. All triangles appearing in the dissection process have angles that are multiples of $\pi/ (n+1).$ There are usually several possible infinite di...
1994-03-23
2008-02-03
[ "hep-th", "funct-an", "math.MG", "math.QA" ]
R. Coquereaux
hep-th/9403146
Hamiltonian Analysis of the Effective Action for Hard Thermal Loops in QCD
The effective action for hard thermal loops in QCD is related to a gauged WZNW theory. Some of the technical issues of this approach are clarified and the Hamiltonian formulation is presented. The two-point correlation function for the induced current in QCD is obtained; some simplifications of the dynamics of the long...
1994-03-23
2009-10-28
[ "hep-th", "hep-ph" ]
V.P.Nair
hep-th/9403140
Isomorphisms between Quantum Group Covariant q-Oscillator Systems Defined for q and 1/q
It is shown that there exists an isomorphism between q-oscillator systems covariant under $ SU_q(n) $ and $ SU_{q^{-1}}(n) $. By the isomorphism, the defining relations of $ SU_{q^{-1}}(n) $ covariant q-oscillator system are transmuted into those of $ SU_q(n) $. It is also shown that the similar isomorphism exists for ...
1994-03-23
2009-10-28
[ "hep-th" ]
N. Aizawa
hep-th/9403143
The Batalin-Vilkovisky Lagrangian quantisation scheme, with applications to the study of anomalies in gauge theories
Only the first 15 percent of the file survived the censor that is hidden in the network resources in a previous attempt to submit this thesis to the bulletin board. Hopefully this makes an uncorrupted file available.
1994-03-23
2008-02-03
[ "hep-th" ]
Frank De Jonghe
hep-th/9403145
Hard Thermal Loops, Chern-Simons Theory and the Quark-Gluon Plasma
The generating functional for hard thermal loops in QCD is important in setting up a resummed perturbation theory. I review how this functional is related to the eikonal for a Chern-Simons theory, and using an auxiliary field, to the gauged WZNW-action. The induced current due to hard thermal loops, properly incorporat...
1994-03-23
2007-05-23
[ "hep-th", "hep-ph" ]
V.P.Nair
hep-th/9403128
Z Flux-Line Lattices and Self-Dual Equations in the Standard Model
We derive gauge covariant self-dual equations for the $SU(2) \times U(1)_Y$ theory of electro-weak interactions and show that they admit solutions describing a periodic lattice of Z-strings.} \newpage
1994-03-22
2009-12-30
[ "hep-th", "hep-ph" ]
G.Bimonte and G.Lozano
hep-th/9403136
Elliptic quantum many-body problem and double affine Knizhnik-Zamolodchikov equation
The elliptic-matrix quantum Olshanetsky-Perelomov problem is introduced for arbitrary root systems by means of an elliptic generalization of the Dunkl operators. Its equivalence with the double affine generalization of the Knizhnik-Zamolodchikov equation (in the induced representations) is established.
1994-03-22
2009-10-28
[ "hep-th", "math.QA" ]
Ivan Cherednik
hep-th/9403132
Renormalization-Group Improved Effective Potential for Finite Grand Unified Theories in Curved Spacetime
The renormalization-group improved effective potential ---to leading-log and in the linear curvature approximation--- is constructed for ``finite'' theories in curved spacetime. It is not trivial and displays a quite interesting, exponential-like structure ---in contrast with the case of flat spacetime where it coincid...
1994-03-22
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9403135
Algebraic integrability of Schr\"odinger operators and representations of Lie algebras
In this paper we study integrability and algebraic integrability properties of certain matrix Schr\"odinger operators. More specifically, we associate such an operator (with rational, trigonometric, or elliptic coefficients) to every simple Lie algebra g and every representation U of this algebra with a nonzero but fin...
1994-03-22
2008-02-03
[ "hep-th", "math.QA" ]
Pavel Etingof and Kostantin Styrkas
hep-th/9403130
Baxterization, dynamical systems, and the symmetries of integrability
We resolve the `baxterization' problem with the help of the automorphism group of the Yang-Baxter (resp. star-triangle, tetrahedron, \dots) equations. This infinite group of symmetries is realized as a non-linear (birational) Coxeter group acting on matrices, and exists as such, {\em beyond the narrow context of strict...
1994-03-22
2009-10-28
[ "hep-th", "alg-geom", "chao-dyn", "math.AG", "nlin.CD", "nlin.SI", "solv-int" ]
C. Viallet
hep-th/9403131
Quantum Cosmology with Yang-Mills Fields
We examine an extension of the ideas of quantum cosmology and, in particular, the proposal of Hartle and Hawking for the boundary conditions of the Universe, to models which incorporate Yang-Mills fields. Inhomogeneous perturbations about a homogeneous, isotropic minisuperspace background model are considered, by expan...
1994-03-22
2010-11-01
[ "hep-th", "gr-qc" ]
D. Kapetanakis, G. Koutsoumbas, A. Lukas and P. Mayr
hep-th/9403127
Low energy dynamics of U(1)^{N} Chern-Simons solitons
We apply the adiabatic approximation to investigate the low energy dynamics of vortices in the parity invariant double self-dual Higgs model with only mutual Chern-Simons interaction. When distances between solitons are large they are particles subject to the mutual interaction. The dual formulation of the model is der...
1994-03-22
2009-10-28
[ "hep-th" ]
Jacek Dziarmaga
hep-th/9403133
A Non-Critical String Approach to Black Holes, Time and Quantum Dynamics
We review our approach to time and quantum dynamics based on non-critical string theory, developing its relationship to previous work on non-equilibrium quantum statistical mechanics and the microscopic arrow of time. We exhibit specific non-factorizing contributions to the ${\nd S}$ matrix associated with topological ...
1994-03-22
2008-02-03
[ "hep-th", "astro-ph", "cond-mat", "gr-qc", "hep-ph" ]
J. Ellis, N.E. Mavromatos, D.V. Nanopoulos
hep-th/9403134
General solutions of the Monge-Amp\`{e}re equation in $n$-dimensional space
It is shown that the general solution of a homogeneous Monge-Amp\`{e}re equation in $n$-dimensional space is closely connected with the exactly (but only implicitly) integrable system \frac {\partial \xi_{j}}{\partial x_0}+\sum_{k=1}^{n-1} \xi_{k} \frac {\partial \xi_{j}}{\partial x_{k}}=0 \label{1} Using the expli...
1994-03-22
2016-09-06
[ "hep-th", "math.AP", "nlin.SI", "solv-int" ]
D. B. Fairlie and A. N. Leznov
hep-th/9403129
Non-Perturbative Approach to 2D-Supergravity and Super-Virasoro Constraints
The coupling of $N=1$ SCFT of type $(4m,2)$ to two-dimensional supergravity can be formulated non-perturbatively in terms of a discrete super-eigenvalue model proposed by Alvarez-Gaum\'e, et al. We derive the superloop equations that describe, in the double scaling limit, the non-perturbative solution of this model. Th...
1994-03-22
2007-05-23
[ "hep-th" ]
Melanie Becker
hep-th/9403137
Black hole thermodynamics and information loss in two dimensions
Black hole evaporation is investigated in a (1+1)-dimensional model of quantum gravity. Quantum corrections to the black hole entropy are computed, and the fine-grained entropy of the Hawking radiation is studied. A generalized second law of thermodynamics is formulated, and shown to be valid under suitable conditions....
1994-03-22
2009-09-25
[ "hep-th", "gr-qc" ]
Thomas M. Fiola, John Preskill, Andrew Strominger, and Sandip P. Trivedi
hep-th/9403125
Fermions Coupled to a Conformal Boundary: A Generalization of the Monopole-Fermion System
We study a class of models in which $N$ flavors of massless fermions on the half line are coupled by an arbitrary orthogonal matrix to $N$ rotors living on the boundary. Integrating out the rotors, we find the exact partition function and Green's functions. We demonstrate that the coupling matrix must satisfy a certain...
1994-03-21
2009-10-28
[ "hep-th" ]
Ali Yegulalp
hep-th/9403123
Resolution of Orbifold Singularities in String Theory
In this paper the relationship between the classical description of the resolution of quotient singularities and the string picture is reviewed in the context of N=(2,2) superconformal field theories. A method for the analysis of quotients locally of the form C^d/G where G is abelian is presented. Methods derived from ...
1994-03-21
2008-02-03
[ "hep-th" ]
P. Aspinwall
hep-th/9403120
Travelling waves in multivortex configurations
We investigate zero modes of a multivortex background which are due to the energetic degeneracy of the planar static n-vortex solution in Bogomol'nyi limit of the Abelian Higgs model parametrised by a set of 2n real parameters. The zero modes take the form of waves travelling with a speed of light independently along e...
1994-03-21
2009-10-28
[ "hep-th" ]
Jacek Dziarmaga
hep-th/9403122
Recent Developments in D=2 String Field Theory
In this review article, we review the recent developments in constructing string field theories that have been proposed, all of which correctly reproduce the correlation functions of two-dimensional string theory. These include: (a) free fermion field theory (b) collective string field theory (c) temporal gauge string ...
1994-03-21
2015-06-26
[ "hep-th" ]
Michio Kaku
hep-th/9403118
Local solutions of harmonical and bi-harmonical equations, Universal Field Equation and self-dual configurations of Yang--Mills fields in four dimensions
A general method for the construction of solutions of the d'Alambertian and double d'Alambertian (harmonic and bi-harmonic) equations with local dependence of arbitrary functions upon two independent arguments is proposed. The connection between solutions of this kind and self-dual configurations of gauge fields having...
1994-03-21
2007-05-23
[ "hep-th" ]
A. N. Leznov
hep-th/9403121
Dirac Quantization Gravity-Yang-Mills Systems in 1+1 Dimensions
In two dimensions a large class of gravitational systems including, e.g., $R^2$-gravity can be quantized exactly also when coupled dynamically to a Yang-Mills theory. Some previous considerations on the quantization of pure gravity theories are improved and generalized.
1994-03-21
2011-09-09
[ "hep-th" ]
T. Strobl
hep-th/9403124
Singular Vectors of the $N=2$ Superconformal Algebra
We derive a set of recursion formulae to construct singular vectors for the $N=2$ (untwisted) algebra, by using the approach of Bauer, di Francesco, Itzykson and Zuber. Applying these formulae, we obtain explicit expressions for the charged singular vectors and for a class of uncharged singular vectors.
1994-03-21
2009-10-28
[ "hep-th" ]
Matthias Doerrzapf