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hep-th/9410238
Basic structures of the covariant canonical formalism for fields based on the De Donder--Weyl theory
We discuss a field theoretical extension of the basic structures of classical analytical mechanics within the framework of the De Donder--Weyl (DW) covariant Hamiltonian formulation. The analogue of the symplectic form is argued to be the {\em polysymplectic} form of degree $(n+1)$, where $n$ is the dimension of space-...
1994-10-31
2007-05-23
[ "hep-th" ]
Igor V. Kanatchikov
hep-th/9410233
$c_M<1$ String Theory as a Constrained Topological Sigma Model
It has been argued by Ishikawa and Kato that by making use of a specific bosonization, $c_M=1$ string theory can be regarded as a constrained topological sigma model. We generalize their construction for any $(p,q)$ minimal model coupled to two dimensional (2d) gravity and show that the energy--momentum tensor and the ...
1994-10-31
2011-07-19
[ "hep-th" ]
Pablo M. Llatas and Shibaji Roy
hep-th/9410239
Auxiliary Fields for Super Yang-Mills from Division Algebras
Division algebras are used to explain the existence and symmetries of various sets of auxiliary fields for super Yang-Mills in dimensions $d=3,4,6,10$. (Contribution to G\"ursey Memorial Conference I: Strings and Symmetries)
1994-10-31
2015-06-26
[ "hep-th" ]
Jonathan M. Evans
hep-th/9410230
Duality Versus Supersymmetry and Compactification
We study the interplay between T-duality, compactification and supersymmetry. We prove that when the original configuration has unbroken space-time supersymmetries, the dual configuration also does if a special condition is met: the Killing spinors of the original configuration have to be independent on the coordinate ...
1994-10-30
2016-08-14
[ "hep-th" ]
E. Bergshoeff, R. Kallosh and T. Ort\'in
hep-th/9410227
Distance Formula for Grassmann Manifold --Applied to Anandan--Aharonov Type Uncertainty Relation--
The time-energy uncertainty relation of Anandan-Aharonov is generalized to a relation involving a set of quantum state vectors. This is achieved by obtaining an explicit formula for the distance between two finitely separated points in the Grassmann manifold.
1994-10-29
2010-11-01
[ "hep-th" ]
Minoru Hirayama, Takeshi Hamada and Jin Chen
hep-th/9410229
Electrically and Magnetically Charged States and Particles in the 2+1-Dimensional Z_N-Higgs Gauge Model
Electrically as well as magnetically charged states are constructed in the 2+1-dimensional Euclidean Z_N-Higgs lattice gauge model, the former following ideas of Fredenhagen and Marcu and the latter using duality transformations on the algebra of observables. The existence of electrically and of magnetically charged pa...
1994-10-29
2015-06-26
[ "hep-th" ]
Joao C A Barata and Florian Nill (Freie Univ. Berlin)
hep-th/9410228
Integrable many-body problems from the field theories
We review recent results which clarify the role of the integrable many-body problems in the quantum field theory framework.They describe the dynamics of the topological degrees of freedom in the theories which are obtained by perturbing the topological ones by the proper Hamiltonians and sources. Interpretation of the ...
1994-10-29
2014-11-18
[ "hep-th" ]
Alexander Gorsky
hep-th/9410217
Integrable Systems in Stringy Gravity
Static axisymmetric Einstein-Maxwell-Dilaton and stationary axisymmetric Einstein-Maxwell-Dilaton-Axion (EMDA) theories in four space-time dimensions are shown to be integrable by means of the inverse scattering transform method. The proof is based on the coset-space representation of the 4-dim theory in a space-time a...
1994-10-28
2010-11-01
[ "hep-th" ]
D.V. Gal'tsov
hep-th/9410224
A BRST charge for non-critical $\W_{2,s}$ strings
We present a general argument for the construction of BRST charges of the `non-critical' $\W_{2,4}$, $\W_{2,5}$, $\W_{2,6}$, and $\W_{2,8}$ strings. This evidences the existence of BRST charges for a kind of soft-type algebras which can be constructed from two copies of quantum $\W_{2,s}$ algebras, (s=3,4,5,6,8).
1994-10-28
2009-10-28
[ "hep-th" ]
L. Palacios
hep-th/9410222
String Theory and ALE Instantons
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...
1994-10-28
2007-05-23
[ "hep-th" ]
M.Bianchi, F.Fucito, G.C.Rossi and M.Martellini
hep-th/9410215
Strings Near a Rindler Or Black Hole Horizon
Orbifold techniques are used to study bosonic, type II and heterotic strings in Rindler space at integer multiples N of the Rindler temperature, and near a black hole horizon at integer multiples of the Hawking temperature, extending earlier results of Dabholkar. It is argued that a Hagedorn transition occurs nears the...
1994-10-28
2009-09-17
[ "hep-th" ]
David A. Lowe and Andrew Strominger
hep-th/9410216
4D Edge Currents from 5D Chern-Simons Theory
A class of two dimensional conformal field theories is known to correspond to three dimensional Chern-Simons theory. Here we claim that there is an analogous class of four dimensional field theories corresponding to five dimensional Chern-Simons theory. The four dimensional theories give a coupling between a scalar fie...
1994-10-28
2009-10-28
[ "hep-th" ]
K.S.Gupta and A.Stern
hep-th/9410220
Finite-Difference Equations in Relativistic Quantum Mechanics
Relativistic Quantum Mechanics suffers from structural problems which are traced back to the lack of a position operator $\hat{x}$, satisfying $[\hat{x},\hat{p}]=i\hbar\hat{1}$ with the ordinary momentum operator $\hat{p}$, in the basic symmetry group -- the Poincar\'e group. In this paper we provide a finite-dimension...
1994-10-28
2009-10-28
[ "hep-th" ]
V. Aldaya and J. Guerrero
hep-th/9410226
The Bosonic String Measure at Two and Three Loops and Symplectic Transformations of the Volume Form
Symplectic modular invariance of the bosonic string partition function has been verified at genus 2 and 3 using the period matrix coordinatization of moduli space. A calculation of the transformation of the holomorphic part of the differential volume element shows that an extra phase arises together with the factor ass...
1994-10-28
2009-10-28
[ "hep-th" ]
Simon Davis
hep-th/9410223
Higher covariant derivative Pauli-Villars regularization does not lead to a consistent QCD
We compute the beta function at one loop for Yang-Mills theory using as regulator the combination of higher covariant derivatives and Pauli-Villars determinants proposed by Faddeev and Slavnov. This regularization prescription has the appealing feature that it is manifestly gauge invariant and essentially four-dimensio...
1994-10-28
2009-10-28
[ "hep-th", "hep-ph" ]
C.P. Martin and F. Ruiz Ruiz
hep-th/9410218
Continuous Symmetries of Lattice Conformal Field Theories and their $Z_2$-Orbifolds
Following on from a general observation in an earlier paper, we consider the continuous symmetries of a certain class of conformal field theories constructed from lattices and their reflection-twisted orbifolds. It is shown that the naive expectation that the only such (inner) symmetries are generated by the modes of t...
1994-10-28
2009-10-28
[ "hep-th" ]
P.S. Montague
hep-th/9410225
Relativistic Aharonov-Bohm-Coulomb Problem
The Aharonov-Bohm effect is analyzed for a spin-1/2 particle in the case that a $1/r$ potential is present. Scalar and vector couplings are each considered. It is found that the approach in which the flux tube is given a finite radius that is taken to zero only after a matching of boundary conditions does not give phys...
1994-10-28
2008-11-26
[ "hep-th" ]
C.R. Hagen and D.K. Park
hep-th/9410221
Fermionic Coset Realization of the Critical Ising Model
We obtain an explicit realization of all the primary fields of the Ising model in terms of a conformal field theory of constrained fermions. The four-point correlators of the energy, order and disorder operators are explicitly calculated.
1994-10-28
2009-12-30
[ "hep-th" ]
D.C.Cabra and K.D.Rothe
hep-th/9410219
Semi-Classical Quantization of Circular Strings in De Sitter and Anti De Sitter Spacetimes
We compute the {\it exact} equation of state of circular strings in the (2+1) dimensional de Sitter (dS) and anti de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting and expanding) strings. The string equation of state has the perfect fluid form $P=(\gamma-1)E,$ with the p...
1994-10-28
2010-11-01
[ "hep-th", "astro-ph", "gr-qc" ]
H.J. de Vega, A.L. Larsen and N. Sanchez
hep-th/9410214
Critical Behaviour of a Fermionic Random Matrix Model at Large-N
We study the large-$N$ limit of adjoint fermion one-matrix models. We find one-cut solutions of the loop equations for the correlators of these models and show that they exhibit third order phase transitions associated with $m$-th order multi-critical points with string susceptibility exponents $\gamma_{\rm str}=-1/m$....
1994-10-27
2009-10-28
[ "hep-th" ]
Nicole Marshall, Gordon W. Semenoff and Richard J. Szabo
hep-th/9410211
Equations from Non-Linear Chiral Transformations
In comparison with the $WT$ chiral identity which is indispensable for renormalization theory, relations deduced from the non-linear chiral transformation have a totally different physical significance. We wish to show that non-linear chiral transformations are powerful tools to deduce useful integral equations for pro...
1994-10-27
2009-10-28
[ "hep-th" ]
J.L. Jacquot, J. Richert and M. Umezawa
hep-th/9410205
S-Dual Gaugino Condensation and Supersymmetry Breaking
The principle of S-duality is used to incorporate gaugino condensates into effective supergravity (superstring) Lagrangians. We discuss two implementations of S-duality which differ in the way the coupling constant is transformed. Both solve the problem of the runaway dilaton and lead to satisfactory supersymmetry brea...
1994-10-27
2009-10-28
[ "hep-th" ]
Z. Lalak, A. Niemeyer and H.P. Nilles
hep-th/9410204
Functional determinants and effective actions:Corrigenda
Some calculational errors in expressions derived previously by the first author for the effective action, or equivalently for the functional determinant, on sectors of a spherical cap are corrected. The formula for the change in the effective action under Weyl rescalings in the three dimensional case is also amended.
1994-10-27
2007-05-23
[ "hep-th" ]
J.S.Dowker and J.S.Apps
hep-th/9410213
Geometric Phases and Mielnik's Evolution Loops
The cyclic evolutions and associated geometric phases induced by time-independent Hamiltonians are studied for the case when the evolution operator becomes the identity (those processes are called {\it evolution loops}). We make a detailed treatment of systems having equally-spaced energy levels. Special emphasis is ma...
1994-10-27
2009-10-28
[ "hep-th" ]
David J. Fern\'andez C
hep-th/9410206
String GUTs
Standard SUSY-GUTs such as those based on $SU(5)$ or $SO(10)$ lead to predictions for the values of $\alpha _s$ and $sin^2\theta _W$ in amazing agreement with experiment. In this article we investigate how these models may be obtained from string theory, thus bringing them into the only known consistent framework for q...
1994-10-27
2009-10-09
[ "hep-th", "hep-ph" ]
G. Aldazabal, A. Font, L.E. Ibanez and A.M. Uranga
hep-th/9410212
Curved Four-Dimensional Spacetime as Infrared Regulator in Superstring Theories
We construct a new class of exact and stable superstring solutions in which our four-dimensional spacetime is taken to be curved . We derive in this space the full one-loop partition function in the presence of non-zero $\langle F^a_{\mu\nu}F_a^{\mu\nu}\rangle=F^2$ gauge background as well as in an $\langle R_{\mu\nu\r...
1994-10-27
2009-10-28
[ "hep-th", "hep-ph" ]
E. Kiritsis, C. Kounnas
hep-th/9410207
Diff invariant Poincare transformations as deformation of Poincare algebra
The concept of $Diff^4$ invariant Poincare transformations is a cornerstone of T(opological) G(eometro)D(ynamics). This concept makes it possible to understand the concept of subjective time and irreversibelity as well as nontriviality of S-matrix at quantum level. In this paper the possibility of identifying $Diff^4$ ...
1994-10-27
2007-05-23
[ "hep-th", "gr-qc" ]
M.Pitk\"anen
hep-th/9410209
On Structure Constants of $sl(2)$ Theories
Structure constants of minimal conformal theories are reconsidered. It is shown that {\it ratios} of structure constants of spin zero fields of a non-diagonal theory over the same evaluated in the diagonal theory are given by a simple expression in terms of the components of the eigenvectors of the adjacency matrix of ...
1994-10-27
2010-11-01
[ "hep-th", "math.QA" ]
V. B. Petkova and J.-B. Zuber
hep-th/9410210
Classical/Quantum Duality
String theory requires two kinds of loop expansion: classical $(\alpha')$ worldsheet loops with expansion parameter $<T>$ where $T$ is a modulus field, and quantum $(\hbar)$ spacetime loops with expansion parameter $<S>$ where $S$ is the dilaton field. Four-dimensional string/string duality (a corollary of ten-dimensio...
1994-10-27
2008-02-03
[ "hep-th", "hep-ph" ]
M. J. Duff
hep-th/9410203
Regular Conjugacy Classes in the Weyl Group and Integrable Hierarchies
Generalized KdV hierarchies associated by Drinfeld-Sokolov reduction to grade one regular semisimple elements from non-equivalent Heisenberg subalgebras of a loop algebra $\G\otimes{\bf C}[\lambda,\lambda^{-1}]$ are studied. The graded Heisenberg subalgebras containing such elements are labelled by the regular conjugac...
1994-10-27
2010-11-01
[ "hep-th" ]
F. Delduc and L. Feher
hep-th/9410208
On spectral theory of quantum vertex operators
In this note we prove the Davies-Foda-Jimbo-Miwa-Nakayashiki conjecture on the asymptotics of the composition of n quantum vertex operators for the quantum affine algebra U_q(\hat sl_2), as n goes to infinity. For this purpose we define and study the leading eigenvalue and eigenvector of the product of two components o...
1994-10-27
2008-02-03
[ "hep-th", "math.QA" ]
Pavel Etingof
hep-th/9410187
Unitary Rules for Black Hole Evaporation
Hawking has proposed non-unitary rules for computing the probabilistic outcome of black hole formation. It is shown that the usual interpretation of these rules violates the superposition principle and energy conservation. Refinements of Hawking's rules are found which restore both the superposition principle and energ...
1994-10-26
2008-02-03
[ "hep-th", "gr-qc" ]
Andrew Strominger
hep-th/9410199
Linear connections on the quantum plane
A general definition has been proposed recently of a linear connection and a metric in noncommutative geometry. It is shown that to within normalization there is a unique linear connection on the quantum plane and there is no metric.
1994-10-26
2009-10-28
[ "hep-th", "math.QA" ]
Michel Dubois-Violette, John Madore, Thierry Masson and Jihad Mourad
hep-th/9410196
On the Universality of Nonperturbative effects in Stabilized 2D Quantum Gravity
In this letter I study the universality of the nonperturbative effects and the vacua structure of the stochastic stabilization of the matrix models which defines Pure 2D Quantum Gravity. I show also that there is not tunneling, in the continuum limit, between the one-arc and three-arc solutions of the simplest matrix m...
1994-10-26
2009-10-28
[ "hep-th" ]
Oscar Diego
hep-th/9410190
Diffeomorphism Cohomology in Beltrami Parametrization II : The 1-Forms
We study the 1-form diffeomorphism cohomologies within a local conformal Lagrangian Field Theory model built on a two dimensional Riemann surface with no boundary. We consider the case of scalar matter fields and the complex structure is parametrized by Beltrami differential. The analysis is first performed at the Clas...
1994-10-26
2011-04-12
[ "hep-th" ]
G. Bandelloni, S.Lazzarini
hep-th/9410194
Induced Topology on the Hoop Group
A new topology is proposed on the space of holonomy equivalence classes of loops, induced by the topology of the space $\Sigma$ in which the loops are embedded. The possible role for the new topology in the context of the work by Ashtekar et al. is discussed.
1994-10-26
2007-05-23
[ "hep-th" ]
J. Rasmussen and M. Weis
hep-th/9410191
Conformal Sector in $D=6$ Quantum Gravity
We discuss the conformal factor dynamics in $D=6$. Accepting the proposal that higher-derivative dimensionless terms in the anomaly-induced effective action may be dropped, we obtain a superrenormalizable (like in $D=4$) effective theory for the conformal factor. The one-loop analysis of this theory gives the anomalous...
1994-10-26
2009-09-17
[ "hep-th" ]
Sergei D. Odintsov and August Romeo
hep-th/9410198
Point Interactions from Flux Conservation
We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $\delta$ and $\delta'$ potentials on the real line and can be easily applied to higher dimensions. Our procedure can be seen as a physical int...
1994-10-26
2007-05-23
[ "hep-th" ]
Luis J. Boya and E.C.G. Sudarshan
hep-th/9410202
Octonion X-product orbits
The octonionic X-product gives the octonions a flexibility not found in the other real division algebras. The pattern of that flexibility is investigated here.
1994-10-26
2008-02-03
[ "hep-th", "math.RA" ]
Geoffrey Dixon
hep-th/9410193
Integrable Spin Chains Associated to $\widehat{sl_q(n)}$ and $\widehat{sl_{p,q}(n)}$
The Hoft structure of the central extension of the $U_q \left( \widehat{sl\left( n \right) }\right)$ algebra is considered. The intertwine matrix induces new integrable spin chain models. We show the relation of these models and the biparametric spin chain $\widehat{sl_{p,q} \left( n \right)}$ models. The cases $n=2$ a...
1994-10-26
2011-07-19
[ "hep-th" ]
J. Abad and M. Rios
hep-th/9410197
The Vacuum in the Light-Cone Representation
The mechanism by which the physical vacuum can be different from the perturbative vacuum in the light-cone representation is described and illustrated.
1994-10-26
2007-05-23
[ "hep-th" ]
Gary McCartor
hep-th/9410201
Linear Connections in Non-Commutative Geometry
A construction is proposed for linear connections on non-commutative algebras. The construction relies on a generalisation of the Leibnitz rules of commutative geometry and uses the bimodule structure of $\Omega^1$. A special role is played by the extension to the framework of non-commutative geometry of the permutatio...
1994-10-26
2010-04-06
[ "hep-th" ]
J. Mourad
hep-th/9410200
The Four-Point Function on a Surface of Infinite Genus
The four-point function arising in the scattering of closed bosonic strings in their tachyonic ground state is evaluated on a surface of infinite genus. The amplitude has poles corresponding to physical intermediate states and divergences at the boundary of moduli space, but no new types of divergences result from the ...
1994-10-26
2009-10-28
[ "hep-th" ]
Simon Davis
hep-th/9410192
Extended Axial Model
We study an extension of the axial model where local gauge symmetries are taken into account. The anomaly of the axial current is calculated by the Fujikawa formalism and the model is also solved. Besides the well known features of the particular models (axial and Schwinger) it was obtained an effective interaction of ...
1994-10-25
2007-05-23
[ "hep-th" ]
R. Amorim and J. Barcelos-Neto
hep-th/9410181
Quantum Diffusion
We consider a simple quantum system subjected to a classical random force. Under certain conditions it is shown that the noise-averaged Wigner function of the system follows an integro-differential stochastic Liouville equation. In the simple case of polynomial noise-couplings this equation reduces to a generalized Fok...
1994-10-25
2008-02-03
[ "hep-th", "adap-org", "gr-qc", "nlin.AO" ]
Salman Habib
hep-th/9410184
A Two Parameter Family of the Calabi-Yau d-Fold
We study a two parameter family of Calabi-Yau d-fold by means of mirror symmetry. We construct mirror maps and calculate correlation functions associated with {\kae} moduli in the original manifold. We find there are more complicated instanton corrections of these couplings than threefolds, which is expected to reflect...
1994-10-25
2009-10-28
[ "hep-th" ]
Katsuyuki Sugiyama
hep-th/9410182
Low Energy Description of Fermion Pairs in Topologically Massive QED$_{2+1}$ with $N$ Flavours
In topologically massive QED$_{2+1}$ with $N$ flavours, there is the possibility that two equal-charged fermions can form a bound state pair in either s-wave or p-wave. We are concerned about the s-wave pairs and obtain the low energy effective action describing them. It is shown that the fermion pairs behave like doub...
1994-10-25
2009-10-28
[ "hep-th" ]
Jae Kwan Kim and Hyeonjoon Shin
hep-th/9410189
Finite dimensional representations of quantum affine algebras at roots of unity
We describe explicitly the canonical map $\chi:$ Spec $\ue(\a{g})\ \rightarrow \ $Spec $\ze$, where $\ue(\a{g})$ is a quantum loop algebra at an odd root of unity $\ve$. Here $\ze$ is the center of $\ue(\a{g})$ and Spec $R$ stands for the set of all finite--dimensional irreducible representations of an algebra $R$. We ...
1994-10-25
2008-02-03
[ "hep-th", "math.QA" ]
Jonathan Beck and Victor G. Kac
hep-th/9410183
Black Holes and Sphalerons in Low Energy Effective String Theory
Talk given at the 7th Marcel Grossmann Meeting on General Relativity, Stanford University, July 24-30, 1994.
1994-10-25
2007-05-23
[ "hep-th" ]
George Lavrelashvili
hep-th/9410188
Difference-elliptic operators and root systems
Recently a new technique in the harmonic analysis on symmetric spaces was suggested based on certain remarkable representations of affine and double affine Hecke algebras in terms of Dunkl and Demazure operators instead of Lie groups and Lie algebras. In the classic case it resulted (among other applications) in a new ...
1994-10-25
2008-02-03
[ "hep-th", "math.QA" ]
Ivan Cherednik
hep-th/9410185
Phase space properties of charged fields in theories of local observables
Within the setting of algebraic quantum field theory a relation between phase-space properties of observables and charged fields is established. These properties are expressed in terms of compactness and nuclearity conditions which are the basis for the characterization of theories with physically reasonable causal and...
1994-10-25
2016-09-06
[ "hep-th" ]
D. Buchholz and C. D'Antoni
hep-th/9410186
$sl_q(2)$ Realizations for Kepler and Oscillator Potentials and q-Canonical Transformations
The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for q-canonical transformation is deduced. q-Schr\"{o}dinger equation for a Keple...
1994-10-25
2009-10-28
[ "hep-th" ]
O.F. Dayi and I.H. Duru
hep-th/9410175
Integrable Difference Analogue of the Logistic Equation and B\"acklund Transformation of the KP Hierarchy
A difference analogue of the logistic equation, which preserves integrability, is derived from Hirota's bilinear difference equation. The integrability of the map is shown to result from the large symmetry associated with the B\"acklund transformation of the KP hierarchy. We introduce a scheme which interpolates betwee...
1994-10-24
2009-09-25
[ "hep-th" ]
Noriko Saitoh, Satoru Saito and Akinobu Shimizu
hep-th/9410195
On Equations with Universal Invariance
A general discussion of equations with universal invariance for a scalar field is provided in the framework of Lagrangian theory of first-order systems.
1994-10-24
2007-05-23
[ "hep-th" ]
Dan Radu Grigore
hep-th/9410172
A Gauge Field Model On $SU(2)_L\times SU(2)_R\times U(1)_Y \times \pi_4(G_{YM})$
We reconstruct the Lagrangian of a left-right symmetric model with the gauge group $SU(2)_L\times SU(2)_R\times U(1)_Y \times \pi_4(SU(2)_L\times SU(2)_R\times U(1)_Y) $. The Higgs fields appear as gauge fields on discrete gauge group $\pi_4(SU(2)_L\times SU(2)_R\times U(1)_Y) $ and are assigned in a way complying with...
1994-10-24
2007-05-23
[ "hep-th" ]
Bin Chen, Han-Ying Guo, Hong-Bo Teng and Ke Wu
hep-th/9410176
Entropy Production via Particle Production
I critically examine the notion of ``irreversibility,'' and discuss in what sense it applies to the spontaneous creation of particles in external fields. The investigation reveals that particle creation in very strong fields can only be described by a non-Markovian transport theory.
1994-10-24
2009-04-30
[ "hep-th", "gr-qc", "nucl-th" ]
J. Rau
hep-th/9410179
Divergences in the Moduli Space Integral and Accumulating Handles in the Infinite-Genus Limit
The symmetries associated with the closed bosonic string partition function are examined so that the integration region in Teichmuller space can be determined. The conditions on the period matrix defining the fundamental region can be translated to relations on the parameters of the uniformizing Schottky group. The gro...
1994-10-24
2009-10-28
[ "hep-th" ]
Simon Davis
hep-th/9410180
Spectrum Degeneracy of General (p=2)--Parasupersymmetric Quantum Mechanics and Parasupersymmetric Topological Invariants
A thorough analysis of the general features of $(p=2)$ parasupersymmetric quantum mechanics is presented. It is shown that for both Rubakov--Spiridonov and Beckers--Debergh formulations of $(p=2)$-parasupersymmetric quantum mechanics, the degeneracy structure of the energy spectrum can be derived using the defining par...
1994-10-24
2015-06-26
[ "hep-th" ]
Ali Mostafazadeh
hep-th/9410178
Fermions in the Background of Dilatonic Sphalerons
We discuss the properties and interpretation of a discrete sequence of a static spherically symmetric solutions of the Yang-Mills-dilaton theory. This sequence is parametrized by the number $n$ of zeros of a component of the gauge field potential. It is demonstrated that solutions with odd $n$ posses all the properties...
1994-10-24
2007-05-23
[ "hep-th" ]
George Lavrelashvili
hep-th/9410177
Mirror Symmetry on Arbitrary Dimensional Calabi-Yau Manifold with a few moduli
We calculate the B-model on the mirror pair of $X_{2N-2}(2,2,\cdots,2,1,1)$ , which is an $(N-2)$-dimensional Calabi-Yau manifold and has two marginal operators i.e. $h^{1,1}(X_{2N-2}(2,2,\cdots,2,1,1))=2$. In \cite{nagandjin} we have discussed about mirror symmetry on $X_N(1,1,\cdots,1)$ and its mirror pair. However, ...
1994-10-24
2015-06-26
[ "hep-th" ]
Masaru Nagura (Department of Phisics, The University of Tokyo, Japan)
hep-th/9410174
Can the $2(2j+1)$ component Weinberg-Tucker-Hammer equations describe the electromagnetic field?
It is shown that the massless $j=1$ Weinberg-Tucker-Hammer equations reduce to the Maxwell's equations for electromagnetic field under the definite choice of field functions and initial and boundary conditions. Thus, the former appear to be of use in a description of some physical processes for which that could be nece...
1994-10-23
2014-11-18
[ "hep-th" ]
Valeri V. Dvoeglazov (Zacatecas University, M\'exico)
hep-th/9410173
On $q$-Deformed Spinning Relativistic Particle
A $q$-deformed free spinning relativistic particle is discussed in the framework of the Lagrangian formalism. Three equivalent Lagrangians are obtained for this system which are endowed with $q$-deformed local (super)gauge symmetries and reparametrization invariance. It is demonstrated that these symmetries are on-shel...
1994-10-23
2009-10-28
[ "hep-th" ]
R.P.Malik
hep-th/9410171
On Solutions of Tetrahedron Equations based on Korepanov Mechanism
We have examined solutions of tetrahedron equations from the elliptic free fermion model by using Korepanov mechanism based on tetrahedral Zamolodchikov algebras. As a byproduct, we have found a new integrable 2-dim. lattice model. We have also studied the relation between tetrahedral Zamolodchikov algebras and tetrahe...
1994-10-22
2017-02-01
[ "hep-th" ]
M. Horibe and K. Shigemoto
hep-th/9410158
Vector-Chiral Equivalence in Null Gauged WZNW Theory
We consider the standard vector and chiral gauged WZNW models by their gauged maximal null subgroups and show that they can be mapped to each other by a special transformation. We give an explicit expression for the map in the case of the classical Lie groups $ A_N $, $ B_N $, $ C_N $, $ D_N $, and note its connection ...
1994-10-22
2015-06-26
[ "hep-th" ]
F. Ardalan, A. M. Ghezelbash
hep-th/9410170
Explicit Construction of $N=2$ $W_3$ Current in the $N=2$ Coset $\frac{SU(3)}{SU(2) \times U(1)}$ Model
We discuss the nonlinear extension of $N=2$ superconformal algebra by generalizing Sugawara construction and coset construction built from $N=2$ currents based on Kazama-Suzuki $N=2$ coset model $\frac{SU(3)}{SU(2) \times U(1)}$ in $N=2$ superspace. For the generic unitary minimal series $c = 6(1-\frac{3}{k+3})$ where ...
1994-10-22
2009-10-28
[ "hep-th" ]
Changhyun Ahn
hep-th/9410163
On a nonstandard two-parametric quantum algebra and its connections with $U_{p,q}(gl(2))$ and $U_{p,q}(gl(1|1))$
A quantum algebra $U_{p,q}(\zeta ,H,X_\pm )$ associated with a nonstandard $R$-matrix with two deformation parameters$(p,q)$ is studied and, in particular, its universal ${\cal R}$-matrix is derived using Reshetikhin's method. Explicit construction of the $(p,q)$-dependent nonstandard $R$-matrix is obtained through a c...
1994-10-21
2009-10-28
[ "hep-th" ]
R. Chakrabarti and R. Jagannathan
hep-th/9410165
KDV and NLS Equations as Tri-Hamiltonian Systems
We show that the KdV and the NLS equations are tri-Hamiltonian systems. We obtain the third Hamiltonian structure for these systems and prove Jacobi identity through the method of prolongation. The compatibility of the Hamiltonian structures is verified directly through prolongation as well as through the shifting of t...
1994-10-21
2007-05-23
[ "hep-th" ]
J. C. Brunelli and Ashok Das
hep-th/9410166
Collective Hamiltonians with Kac-Moody Algebraic Conditions
We describe the general framework for constructing collective--theory Hamiltonians whose hermicity requirements imply a Kac--Moody algebra of constraints on the associated Jacobian. We give explicit examples for the algebras $sl(2)_k$ and $sl(3)_k$. The reduction to $W_n$--constraints, relevant to $n$-matrix models, is...
1994-10-21
2009-10-28
[ "hep-th" ]
Jean Avan (LPTHE Paris 6/7, France) and Antal Jevicki (Physics Dept. Brown University, USA)
hep-th/9410162
Regularisation, the BV method, and the antibracket cohomology
We review the Lagrangian Batalin--Vilkovisky method for gauge theories. This includes gauge fixing, quantisation and regularisation. We emphasize the role of cohomology of the antibracket operation. Our main example is $d=2$ gravity, for which we also discuss the solutions for the cohomology in the space of local integ...
1994-10-21
2015-06-26
[ "hep-th" ]
Walter Troost and Antoine Van Proeyen
hep-th/9410169
Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
This paper is a continuation of our papers \cite{EK1, EK2}. In \cite{EK2} we showed that for the root system $A_{n-1}$ one can obtain Macdonald's polynomials as weighted traces of intertwining operators between certain finite-dimensional representations of $U_q(sl_n)$. The main goal of the present paper is to use this ...
1994-10-21
2008-02-03
[ "hep-th", "math.QA" ]
Pavel Etingof, Alexander Kirillov Jr
hep-th/9410157
c=1 discrete states correlators via W$_{1+\infty}$ constraints
The discrete states of $c=1$ string theory at the self-dual radius are associated with modes of $W_{1+\infty}$ currents and their genus zero correlators are computed. An analogy to a recent suggestion based on the integrable structure of the theory is found. An iterative method for deriving the dependence of the curren...
1994-10-21
2009-09-29
[ "hep-th" ]
Amihay Hanany and Yaron Oz
hep-th/9410156
Classical Extended Conformal Algebras Associated with Constrained KP Hierarchy
We examine the conformal property of the second Hamiltonian structure of constrained KP hierarchy derived by Oevel and Strampp. We find that it naturallygives a family of nonlocal extended conformal algebras. We give two examples of such algebras and find that they are similar to Bilal's V algebra. By taking a gauge tr...
1994-10-21
2009-10-28
[ "hep-th" ]
Wen-Jui Huang, J.C. Shaw and H.C. Yen
hep-th/9410161
Dimensionality as a Perturbation Parameter in the Generalized Hydrogen Atom
A recent suggestion has been made that the hydrogen bound state spectrum should not depend on the number of spatial dimensions. It is pointed out here that the uncertainty principle implies that such differences must exist and that a perturbation expansion in the dimensionality parameter yields a precise quantitative c...
1994-10-21
2009-10-28
[ "hep-th" ]
C.R. Hagen
hep-th/9410160
Quantum deflation of classical extended objects
It is shown, that extended particle-like objects should infinitely long collapse into some discontinuous configurations of the same topology, but vanishing mass. Analytic results concerning the general properties and asymptotic rates of such a process are given for 1+1-dimensional soliton models.
1994-10-21
2007-05-23
[ "hep-th" ]
K.Sveshnikov
hep-th/9410164
Field Theory of Open and Closed Strings with Discrete Target Space
We study a $U(N)$-invariant vector+matrix chain with the color structure of a lattice gauge theory with quarks and interpret it as a theory of open andclosed strings with target space $\Z$. The string field theory is constructed as a quasiclassical expansion for the Wilson loops and lines in this model. In a particular...
1994-10-21
2014-11-18
[ "hep-th" ]
Ivan K. Kostov
hep-th/9410159
The Dynamics Of Vortex And Monopole Production By Quench Induced Phase Separation
Our understanding of the mechanism by which topological defects are formed in symmetry breaking phase transitions has recently changed. We examine the non-equilibrium dynamics of defect formation for weakly-coupled global O(N) theories possessing vortices (strings) and monopoles. It is seen that, as domains form and gr...
1994-10-21
2010-11-01
[ "hep-th", "hep-ph" ]
A.J. Gill and R.J. Rivers
hep-th/9410168
Varieties of Quantum Measurement
Quantum measurement theory has fallen under the resticting influence of the attempt to explain the fundamental axioms of quantum theory in terms of the theory itself. This has not only led to confusion but has also restricted our attention to a limited class of measurements. This paper outlines some of the novel types ...
1994-10-21
2009-10-28
[ "hep-th", "gr-qc" ]
W. G. Unruh
hep-th/9410167
Unity of Superstring Dualities
The effective action for type II string theory compactified on a six torus is $N=8$ supergravity, which is known to have an $E_{7}$ duality symmetry. We show that this is broken by quantum effects to a discrete subgroup, $E_7(\Z)$, which contains both the T-duality group $SO(6,6;\Z)$ and the S-duality group $SL(2;\Z)$....
1994-10-21
2009-07-09
[ "hep-th" ]
C. M. Hull and P. K. Townsend
hep-th/9410155
Unitarity, Analytical Time and Hawking's Temperature
By analytically continuing the time variable in a black hole background, and requiring unitary evolution, it is found that quantum mechanical states at the horizon develop a thermal factor under suitable identification of the physical time. The thermal factor is found to be determined exactly by the Hawking's temperatu...
1994-10-21
2007-05-23
[ "hep-th", "gr-qc" ]
Tze-Dan Chung
hep-th/9410151
My Encounters --- as a Physicist --- with Mathematics
25th anniversary and new building dedication Centre de Recherches Math\'{e}matiques Montr\'{e}al, Canada, October 1994
1994-10-20
2007-05-23
[ "hep-th" ]
R. Jackiw
hep-th/9410146
3_F_2(1) hypergeometric function and quadratic R-matrix algebra
We construct a class of representations of the quadratic R-matrix algebra, given by the reflection equation with the spectral parameter, in terms of certain ordinary difference operators. These operators turn out to act as parameter shifting operators on the 3_F_2(1) hypergeometric function and its limit cases and on c...
1994-10-20
2008-02-03
[ "hep-th", "math.CA", "math.QA" ]
Vadim B. Kuznetsov
hep-th/9410154
A Hopf Algebra Structure in Self-dual Gravity
The two-dimensional non-linear sigma model approach to Self-dual Yang-Mills theory and to Self-dual gravity given by Q-Han Park is an example of the deep interplay between two and four dimensional physics. In particular, Husain's two-dimensional chiral model approach to Self-dual gravity is studied. We show that the in...
1994-10-20
2008-02-03
[ "hep-th", "gr-qc" ]
Hugo Garcia-Compean, Laura E. Morales and Jerzy F. Plebanski
hep-th/9410150
Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry
By utilizing a new procedure (the RADIO method) for deriving on-shell 2D, 2N-extended multiplets from off-shell 2D, N-extended multiplets, we derive a new on-shell 2D, N = 8 representation; the ultra-multiplet. By twisting with respect to parity, we show that many variant versions of this supermultiplet also exist.
1994-10-20
2009-10-28
[ "hep-th" ]
S. James Gates Jr. and L. Rana
hep-th/9410144
The Quantum Algebraic Structure of the Twisted XXZ Chain
We consider the Quantum Inverse Scattering Method with a new R-matrix depending on two parameters $q$ and $t$. We find that the underlying algebraic structure is the two-parameter deformed algebra $SU_{q,t}(2)$ enlarged by introducing an element belonging to the centre. The corresponding Hamiltonian describes the spin-...
1994-10-20
2009-10-28
[ "hep-th", "cond-mat" ]
M.R-Monteiro, I.Roditi, L.M.C.S.Rodrigues and S.Sciuto
hep-th/9410147
Four Dimensional Integrable Theories
There exist many four dimensional integrable theories. They include self-dual gauge and gravity theories, all their extended supersymmetric generalisations, as well the full (non-self-dual) N=3 super Yang-Mills equations. We review the harmonic space formulation of the twistor transform for these theories which yields ...
1994-10-20
2015-06-26
[ "hep-th", "nlin.SI", "solv-int" ]
Ch. Devchand and V. Ogievetsky
hep-th/9410149
Why Are There So Many N = 4 Superstrings?
We demonstrate the existence of three off-shell distinct N = 4 superstrings at the level of manifest locally supersymmetric Lagrangian field theories on the world sheet.
1994-10-20
2009-10-28
[ "hep-th" ]
S. James Gates Jr
hep-th/9410152
The Box Graph In Superstring Theory
In theories of closed oriented superstrings, the one loop amplitude is given by a single diagram, with the topology of a torus. Its interpretation had remained obscure, because it was formally real, converged only for purely imaginary values of the Mandelstam variables, and had to account for the singularities of both ...
1994-10-20
2010-11-01
[ "hep-th" ]
E. D'Hoker and D. H. Phong
hep-th/9410153
Developing a local deterministic theory to account for quantum mechanical effects
Franson showed that Aspect's experiment to test Bell's inequality did not rule out local realistic theories with delayed determinism. A class of local, deterministic discrete mathematical models with delayed determinism is described that may be consistent with existing experiments. These are not hidden variables theori...
1994-10-20
2008-02-03
[ "hep-th" ]
Paul P. Budnik Jr. (Mountain Math Software)
hep-th/9410148
World-sheet aspects of mirror symmetry
(Talk given at the Oskar Klein centenary symposium 19-21 September 1994 in Stockholm, Sweden, to appear in the proceedings.) The first half of this talk is a non-technical discussion of some general aspects of string theory, in particular the problem of compactification. We also give an introduction to mirror symmetry....
1994-10-20
2007-05-23
[ "hep-th" ]
Mans Henningson
hep-th/9410145
Polynomial deformations of $osp(1/2)$ and generalized parabosons
We consider the algebra $R$ generated by three elements $A,B,H$ subject to three relations $[H,A]=A$, $[H,B]=-B$ and $\{A,B\}=f(H)$. When $f(H)=H$ this coincides with the Lie superalgebra $osp(1/2)$; when $f$ is a polynomial we speak of polynomial deformations of $osp(1/2)$. Irreducible representations of $R$ are descr...
1994-10-20
2009-10-28
[ "hep-th" ]
J. Van der Jeugt and R. Jagannathan
hep-th/9410143
Hamiltonian BRST Quantization of the Conformal String
We present a new formulation of the tensionless string ($T= 0$) where the space-time conformal symmetry is manifest. Using a Hamiltonian BRST scheme we quantize this {\em Conformal String} and find that it has critical dimension $D=2$. This is in keeping with our classical result that the model describes massless parti...
1994-10-19
2009-10-28
[ "hep-th" ]
H.Gustafsson, U.Lindstr\"om, P.Saltsidis, B.Sundborg and R.v.Unge
hep-th/9410136
String Cosmology with a Time-Dependent Antisymmetric Tensor Potential
We present a class of exact solutions for homogeneous, anisotropic cosmologies in four dimensions derived from the low-energy string effective action including a homogeneous dilaton $\phi$ and antisymmetric tensor potential $B_{\mu\nu}$. Making this potential time-dependent produces an anisotropic energy-momentum tenso...
1994-10-19
2011-07-19
[ "hep-th", "gr-qc" ]
E. J. Copeland, Amitabha Lahiri and David Wands
hep-th/9410135
$h$-Deformation as a Contraction of $q$-Deformation
We show that $h$-deformation can be obtained, by a singular limit of a similarity transformation, from $q$-deformation; to be specefic, we obtain $\GL_h(2)$, its differential structure, its inhomogenous extension, and $\Uh{\sl(2)}$ from their $q$-deformed counterparts.
1994-10-19
2015-06-26
[ "hep-th" ]
A. Aghamohammadi, M. Khorrami and A. Shariati
hep-th/9410137
Topological Modes in Dual Lattice Models
Lattice gauge theory with gauge group $Z_{P}$ is reconsidered in four dimensions on a simplicial complex $K$. One finds that the dual theory, formulated on the dual block complex $\hat{K}$, contains topological modes which are in correspondence with the cohomology group $H^{2}(\hat{K},Z_{P})$, in addition to the usual ...
1994-10-19
2008-11-26
[ "hep-th" ]
Mark Rakowski
hep-th/9410140
Quantum scattering of charged solitons in the complex sine-Gordon model
The scattering of charged solitons in the complex sine-Gordon field theory is investigated. An exact factorizable S-matrix for the theory is proposed when the renormalized coupling constant takes the values $\lambda^{2}_{R}=4\pi/k$ for any integer $k>1$: the minimal S-matrix associated with the Lie algebra $a_{k-1}$. I...
1994-10-19
2010-11-01
[ "hep-th" ]
Nicholas Dorey and Timothy J. Hollwood
hep-th/9410139
The BV Quantisation of Superparticles Type I and II
{ This letter discusses the BRST cohomology of superparticles type I and II. It was used an extended super-space to construct $S0(9,1)$ superparticle actions that lead to super-wave functions whose spinor components satisfy $S0(9,1)$ covariant constraints. Their BRST charges were found by using BV methods, since the mo...
1994-10-19
2008-02-03
[ "hep-th" ]
J.L Vazquez-Bello
hep-th/9410141
The Renormalization Group and Two Dimensional Multicritical Effective Scalar Field Theory
Direct verification of the existence of an infinite set of multicritical non-perturbative FPs (Fixed Points) for a single scalar field in two dimensions, is in practice well outside the capabilities of the present standard approximate non-perturbative methods. We apply a derivative expansion of the exact RG (Renormaliz...
1994-10-19
2009-10-28
[ "hep-th", "cond-mat", "hep-lat" ]
Tim R. Morris
hep-th/9410142
On Spherically Symmetric String Solutions in Four Dimensions
We reconsider here the problem of finding the general 4D spherically symmetric, asymptotically flat and time-independent solutions to the lowest-order string equations in the $\ap$ expansion. Our construction includes earlier work, but differs from it in three ways. (1) We work with general background metric, dilaton, ...
1994-10-19
2010-11-19
[ "hep-th", "gr-qc" ]
C.P. Burgess, R.C. Myers and F. Quevedo
hep-th/9410138
BRS symmetry for Yang-Mills theory with exact renormalization group
In the exact renormalization group (RG) flow in the infrared cutoff $\Lambda$ one needs boundary conditions. In a previous paper on $SU(2)$ Yang-Mills theory we proposed to use the nine physical relevant couplings of the effective action as boundary conditions at the physical point $\Lambda=0$ (these couplings are defi...
1994-10-19
2009-10-28
[ "hep-th" ]
M. Bonini, M. D'Attanasio and G. Marchesini
hep-th/9410124
Review of Non-Commutative Geometric Methods Applied to Particle Physics
This is a brief review where some basic elements of non-commutative geometry are given. The rules and ingredients that enter in the construction of the standard model and grand unification models in non-commutative geometry are summarized. A connection between some space-time supersymmetric models and non-commutative g...
1994-10-18
2015-03-10
[ "hep-th" ]
A. H. Chamseddine