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hep-th/9301121
New Modular Hopf Algebras related to rational $k$ $\widehat {sl(2)}$
We show that the Hopf link invariants for an appropriate set of finite dimensional representations of $ U_q SL(2)$ are identical, up to overall normalisation, to the modular S matrix of Kac and Wakimoto for rational $k$ $\widehat {sl(2)}$ representations. We use this observation to construct new modular Hopf algebras, ...
1993-01-29
2008-02-03
[ "hep-th", "math.QA" ]
Sanjaye Ramgoolam
hep-th/9301117
Analysis of Abelian Gauge Theory with Four Fermi Interaction at $O(1/N^2)$ in Arbitrary Dimensions
An arbitrary dimensional expression is given for the anomalous dimension of the fermion field in a model with a four point interaction and a $U(1)$ gauge field, at $O(1/N^2)$ within a large flavour expansion in the Landau gauge.
1993-01-28
2009-10-22
[ "hep-th" ]
J.A. Gracey
hep-th/9301118
Generalized Fusion Potentials
Recently, DiFrancesco and Zuber have characterized the RCFTs which have a description in terms of a fusion potential in one variable, and proposed a generalized potential to describe other theories. In this note we give a simple criterion to determine when such a generalized description is possible. We also determine w...
1993-01-28
2009-09-29
[ "hep-th" ]
Ofer Aharony
hep-th/9301119
Hamiltonian Approach to 2D Dilaton-Gravities and Invariant Adm Mass
The formula existing in the literature for the ADM mass of 2D dilaton gravity is incomplete. For example, in the case of an infalling matter shockwave this formula fails to give a time-independent mass, unless a very special coordinate system is chosen. We carefully carry out the canonical formulation of 2D dilaton gra...
1993-01-28
2009-10-22
[ "hep-th", "gr-qc" ]
A. Bilal and I. Kogan
hep-th/9301120
Edge States in 4D and their 3D Groups and Fields
It is known that the Lagrangian for the edge states of a Chern-Simons theory describes a coadjoint orbit of a Kac-Moody (KM) group with its associated Kirillov symplectic form and group representation. It can also be obtained from a chiral sector of a nonchiral field theory. We study the edge states of the abelian $BF$...
1993-01-28
2015-06-26
[ "hep-th" ]
A.P. Balachandran, G. Bimonte and P. Teotonio-Sobrinho
hep-th/9301113
Gauge Independent Critical Exponents for QED Coupled to a Four Fermi Interaction with and without a Chern Simons Term
We apply the self consistency method for determining critical exponents to a model with a four fermi interaction coupled to QED and compute various gauge independent exponents in arbitrary dimensions in the large $N$ expansion at $O(1/N)$. The formalism is developed to include a Chern Simons term in three dimensions an...
1993-01-27
2009-10-22
[ "hep-th" ]
J.A. Gracey
hep-th/9301114
Perturbative renormalization and infrared finiteness in the Wilson renormalization group: the massless scalar case
A new proof of perturbative renormalizability and infrared finiteness for a scalar massless theory is obtained from a formulation of renormalized field theory based on the Wilson renormalization group. The loop expansion of the renormalized Green functions is deduced from the Polchinski equation of renormalization grou...
1993-01-27
2009-10-22
[ "hep-th" ]
M. Bonini, M. D'Attanasio and G. Marchesini
hep-th/9301125
On the Rotating Charged Black String Solution
A rotating charged black string solution in the low energy effective field theory describing five dimensional heterotic string theory is constructed. The solution is labelled by mass, electric charge, axion charge and angular momentum per unit length. The extremal limit of this solution is also studied.
1993-01-27
2009-10-22
[ "hep-th" ]
Swapna Mahapatra
hep-th/9301116
Macroscopic limit of a solvable dynamical model
The interaction between an ultrarelativistic particle and a linear array made up of $N$ two-level systems (^^ ^^ AgBr" molecules) is studied by making use of a modified version of the Coleman-Hepp Hamiltonian. Energy-exchange processes between the particle and the molecules are properly taken into account, and the evol...
1993-01-27
2008-11-26
[ "hep-th", "hep-ph" ]
Hiromichi Nakazato and Saverio Pascazio
hep-th/9301112
On Integrable c<1 Open--Closed String Theory
The integrable structure of open--closed string theories in the $(p,q)$ conformal minimal model backgrounds is presented. The relation between the $\tau$--function of the closed string theory and that of the open--closed string theory is uncovered. The resulting description of the open--closed string theory is shown to...
1993-01-27
2010-11-01
[ "hep-th" ]
Clifford V. Johnson
hep-th/9301115
Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids
The exactness and universality observed in the quantum Hall effect suggests the existence of a symmetry principle underlying Laughlin's theory. We review the role played by the infinite $W_{\infty }$ and conformal algebras as dynamical symmetries of incompressible quantum fluids and show how they predict universal fini...
1993-01-27
2009-10-22
[ "hep-th", "cond-mat" ]
A. Cappelli, G.V. Dunne, C.A. Trugenberger and G.R. Zemba
hep-th/9301111
On Foundation of the Generalized Nambu Mechanics
We outline the basic principles of canonical formalism for the Nambu mechanics---a generalization of Hamiltonian mechanics proposed by Yoichiro Nambu in 1973. It is based on the notion of Nambu bracket which generalizes the Poisson bracket to the multiple operation of higher order $n \geq 3$ on classical observables an...
1993-01-26
2009-10-22
[ "hep-th", "math.SG" ]
Leon Takhtajan
hep-th/9301110
Neutron Acceleration in Uniform Electromagnetic Fields
The question as to whether neutron acceleration can occur in uniform electromagnetic fields is examined. Although such an effect has been predicted using the canonical equations of motion some doubt has been raised recently as to whether it is in principle observable for a spin 1/2 particle. To resolve this issue a ged...
1993-01-26
2009-10-22
[ "hep-th" ]
J. Anandan and C. R. Hagen
hep-th/9301109
String inspired effective Lagrangian and Inflationary Universe
We consider a string inspired effective Lagrangian for the graviton and dilaton, containing Einstein gravity at the zero slope limit. The numerical solution of the problem shows asymptotically an inflationary universe. The time is measured by the dilaton, as one expects. The result is independent of the introduction of...
1993-01-26
2007-05-23
[ "hep-th" ]
E. Abdalla, A.C.V.V. de Siqueira
hep-th/9301106
Convenient Versus Unique Effective Action Formalism in 2D Dilaton-Maxwell Quantum Gravity
The structure of one-loop divergences of two-dimensional dilaton-Maxwell quantum gravity is investigated in two formalisms: one using a convenient effective action and the other a unique effective action. The one-loop divergences (including surface divergences) of the convenient effective action are calculated in three...
1993-01-26
2010-05-07
[ "hep-th" ]
E. Elizalde, S. Naftulin and S.D. Odintsov
hep-th/9301107
An Algorithm for Computing Four-Ramond Vertices at Arbitrary Level
We perform the sewing of two (dual) Ramond reggeon vertices and derive an algorithm by means of which the so obtained four-Ramond reggeon vertex may be explicitly computed at arbitrary oscillator (mass) level. A closed form of the four-vertex is then deduced on the basis of a comparison to all terms obtained by sewing ...
1993-01-26
2011-07-19
[ "hep-th" ]
Niclas Engberg, Bengt E.W Nilsson and Per Sundell
hep-th/9301102
The Dual Formulation of Cosmic Strings and Vortices
We study four dimensional systems of global, axionic and local strings. By using the path integral formalism, we derive the dual formulation of these systems, where Goldstone bosons, axions and missive vector bosons are described by antisymmetric tensor fields, and strings appear as a source for these tensor fields. We...
1993-01-26
2009-10-22
[ "hep-th" ]
Kimyeong Lee
hep-th/9301105
On the Black Hole Background of Two-Dimensional String Theory
The classical black hole background of two-dimensional string theory is examined after including the effect of the tachyon field. Keeping all terms upto $O(T^2)$, and making no other approximations, the only consistent classical solution to the resulting dilaton-graviton theory is found to be flat spacetime with a nont...
1993-01-26
2009-10-22
[ "hep-th" ]
S. Chaudhuri and D. Minic
hep-th/9301108
Current Algebra of Super WZNW Models
We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and left sectors, analogously to the bosonic case. Moreover, in the pre...
1993-01-26
2009-10-22
[ "hep-th" ]
E. Abdalla, M.C.B. Abdalla, O.H.G. Branco and L.E. Saltini
hep-th/9301101
On the possibility of spinorial quantization in the Skyrme model
We consider the configuration space of the Skyrme model and give a simple proof that loops generated by full spatial rotations are contractible in the even-, and non-contractible in the odd-winding-number sectors.
1993-01-25
2015-06-26
[ "hep-th" ]
Domenico Giulini
hep-th/9301099
On the Spectrum and Scattering of W_3 Strings
We present a detailed investigation of scattering processes in $W_3$ string theory. We discover further physical states with continuous momentum, which involve excitations of the ghosts as well as the matter, and use them to gain a better understanding of the interacting theory. The scattering amplitudes display factor...
1993-01-25
2009-10-07
[ "hep-th" ]
H. Lu, C.N. Pope, S. Schrans and X.J. Wang
hep-th/9301104
Moment Maps to Loop Algebras, Classical R-Matrix and Integrable Systems
A class of Poisson embeddings of reduced, finite dimensional symplectic vector spaces into the dual space $\Lg_R^*$ of a loop algebra, with Lie Poisson structure determined by the classical split $R$--matrix $R=P_+ - P_-$ is introduced. These may be viewed as equivariant moment maps inducing natural Hamiltonian actions...
1993-01-25
2008-02-03
[ "hep-th" ]
J.Harnad and M.-A. Wisse
hep-th/9301100
Anyons and Quantum Groups
Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with $q$-oscillators, are ...
1993-01-25
2008-11-26
[ "hep-th", "cond-mat" ]
Alberto Lerda and Stefano Sciuto
hep-th/9301103
Origin of Antifields in the Batalin-Vilkovisky Lagrangian Formalism
The antifields of the Batalin-Vilkovisky Lagrangian quantization are standard antighosts of certain collective fields. These collective fields ensure that Schwinger-Dyson equations are satisfied as a consequence of the gauge symmetry algebra. The associated antibracket and its canonical structure appear naturally if on...
1993-01-25
2009-10-22
[ "hep-th" ]
J. Alfaro and P.H. Damgaard
hep-th/9301098
B\"acklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of $A_1$ solutions
We present a B\"acklund transformation (a discrete symmetry transformation) for the self-duality equations for supersymmetric gauge theories in N-extended super-Minkowski space ${\cal M}^{4|4N}$ for an arbitrary semisimple gauge group. For the case of an $A_1$ gauge algebra we integrate the transformation starting with...
1993-01-24
2009-10-22
[ "hep-th" ]
Ch. Devchand and A.N. Leznov
hep-th/9301097
Developing the Covariant Batalin-Vilkovisky approach to String Theory
We investigate the variation of the string field action under changes of the string field vertices giving rise to different decompositions of the moduli spaces of Riemann surfaces. We establish that any such change in the string action arises from a field transformation canonical with respect to the Batalin-Vilkovisky ...
1993-01-23
2009-10-22
[ "hep-th" ]
H. Hata and B. Zwiebach
hep-th/9301096
Quantum double of Heisenberg-Weyl algebra, its universal R-matrix and their representations
In this paper a new quasi-triangular Hopf algebra as the quantum double of the Heisenberg-Weyl algebra is presented.Its universal R-matrix is built and the corresponding representation theory are studied with the explict construction for the representations of this quantum double. \newpage
1993-01-23
2009-10-22
[ "hep-th", "math.QA" ]
Chang-Pu Sun and Mo-Lin Ge
hep-th/9301093
Superconformal 2D Minimal Models and an Unusual Coset Construction
We consider a coset construction of minimal models. We define it rigorously and prove that it gives superconformal minimal models. This construction allows to build all primary fields of superconformal models and to calculate their three-point correlation functions.
1993-01-22
2009-10-22
[ "hep-th" ]
M.Yu.Lashkevich
hep-th/9301094
Conformal Blocks of Coset Construction: Zero Ghost Number
It is shown that zero ghost conformal blocks of coset theory G/H are determined uniquely by those of G and H theories. G/G theories are considered as an example, their structure constants and correlation functions on sphere are calculated.
1993-01-22
2008-02-03
[ "hep-th" ]
M.Yu.Lashkevich
hep-th/9301092
More on quantum groups from the the quantization point of view
Star products on the classical double group of a simple Lie group and on corresponding symplectic grupoids are given so that the quantum double and the "quantized tangent bundle" are obtained in the deformation description. "Complex" quantum groups and bicovariant quantum Lie algebras are discused from this point of vi...
1993-01-22
2009-10-22
[ "hep-th", "math.QA" ]
B. Jurco
hep-th/9301088
$N=2$ Supersymmetric Integrable Models and Topological Field Theories
These lectures review some of the basic properties of $N=2$ superconformal field theories and the corresponding topological field theories. One of my basic aims is to show how the techniques of topological field theory can be used to compute effective \LG potentials for perturbed $N=2$ superconformal field theories. In...
1993-01-22
2007-05-23
[ "hep-th" ]
N.P. Warner
hep-th/9301089
String Theory on Calabi--Yau Manifolds: The Three Generations Case
Recently, string theory on Calabi--Yau manifolds was constructed and was shown to be a fully consistent, space--time supersymmetric string theory. The physically interesting case is the case of three generations. Intriguingly, it appears at the present that there is a unique manifold which gives rise to three generatio...
1993-01-22
2007-05-23
[ "hep-th" ]
Doron Gepner
hep-th/9301090
Quasi-classical limit of BKP hierarchy and W-infinity symmeties
Previous results on quasi-classical limit of the KP and Toda hierarchies are now extended to the BKP hierarchy. Basic tools such as the Lax representation, the Baker-Akhiezer function and the tau function are reformulated so as to fit into the analysis of quasi-classical limit. Two subalgebras $\WB_{1+\infty}$ and $\wB...
1993-01-22
2009-10-22
[ "hep-th" ]
Kanehisa Takasaki
hep-th/9301091
Chern-Simons approach to three-manifold invariants
% A new, formal, non-combinatorial approach to invariants of % three-dimensional manifolds of Reshetikhin, Turaev and % Witten in the framework of non-perturbative topological % quantum Chern-Simons theory, corresponding to an arbitrary % compact simple Lie group, is presented. A direct % implementation of surgery inst...
1993-01-22
2009-10-22
[ "hep-th", "math.QA" ]
Boguslaw Broda (U. Clausthal and U. Lodz)
hep-th/9301095
Quantum Spinodal Decomposition
We study the process of spinodal decomposition in a scalar quantum field theory that is quenched from an equilibrium disordered initial state at $T_i > T_f$ to a final state at $T_f \approx 0$. The process of formation and growth of correlated domains is studied in a Hartree approximation. We find an approximate scalin...
1993-01-22
2009-10-22
[ "hep-th" ]
Daniel Boyanovsky
hep-th/9301087
Uniqueness of the bosonization of the $U_q(su(2)_k)$ quantum current algebra
Four apparently different bosonizations of the $U_q(su(2)_k)$ quantum current algebra for arbitrary level $k$ have recently been proposed in the literature. However, the relations among them have so far remained unclear except in one case. Assuming a special standard form for the $U_q(su(2)_k)$ quantum currents, we der...
1993-01-21
2009-10-22
[ "hep-th" ]
A.H. Bougourzi
hep-th/9301085
On the Symmetry Algebra of the Discrete States in $d<2$ Closed String Theory
The Symmetry charges associated with the Lian-Zuckerman states for $d<2$ closed string theory are constructed. Unlike in the open string case, it is shown here that the symmetry charges commute among themselves and act trivially on all the physical states.
1993-01-21
2010-11-01
[ "hep-th" ]
Sudhakar Panda and Shibaji Roy
hep-th/9301086
Path Spaces and W-Fusion in Minimal Models
Product forms of characters of Virasoro minimal models are obtained which factorize into $(2,\odd)\times(3,\even)$ characters. These are related by generalized Rogers-Ramanujan identities to sum forms allowing for a quasiparticle interpretation. The corresponding dilogarithm identities are given and the factorization i...
1993-01-21
2010-11-01
[ "hep-th" ]
J. Kellendonk, M. R\"osgen, R. Varnhagen
hep-th/9301084
Yang-Baxter equation in spin chains with long range interactions
We consider the $ su(n) $ spin chains with long range interactions and the spin generalization of the Calogero-Sutherland models. We show that their properties derive from a transfer matrix obeying the Yang-Baxter equation. We obtain the expression of the conserved quantities and we diagonalize them.
1993-01-21
2023-04-10
[ "hep-th", "cond-mat" ]
D. Bernard, M. Gaudin, F.D.M. Haldane, V. Pasquier
hep-th/9301079
Twisted Sector Yukawa Couplings For The ${\bf Z}_M\times {\bf Z}_N$ Orbifolds
The moduli dependent Yukawa couplings between twisted sectors of ${\bf Z}_M\times {\bf Z}_N$ Coxeter orbifolds are studied.
1993-01-19
2009-10-22
[ "hep-th" ]
D. Bailin, A. Love and W. A. Sabra
hep-th/9301077
The $N=2$ super $W_4$ algebra and its associated generalized KdV hierarchies
We construct the $N=2$ super $W_4$ algebra as a certain reduction of the second Gel'fand-Dikii bracket on the dual of the Lie superalgebra of $N=1$ super pseudo-differential operators. The algebra is put in manifestly $N=2$ supersymmetric form in terms of three $N=2$ superfields $\Phi_i(X)$, with $\Phi_1$ being the $N=...
1993-01-19
2009-10-22
[ "hep-th" ]
C. M. Yung and Roland C. Warner
hep-th/9301081
Large-N Quenching in the Kazakov-Migdal Model
To study the behavior of the Kazakov-Migdal at large N the quenched momentum prescription with constraints for treating the large N limit of gauge theories is used. It is noted that it leads to a quartic dependence of an action on unitary matrix instead of a quadratic dependence discussed in previous considerations. Th...
1993-01-19
2009-10-22
[ "hep-th" ]
I.Ya. Aref'eva
hep-th/9301080
Nonlocal conservation laws in N=1,2 Supersymetric KdV equation
The \nl \cls for the N=1 supersymmetric KdV equation are shown to be related in a simple way to powers of the fourth root of its Lax operator. This provides a direct link between the supersymmetry invariance and the existence of \nl conservation laws. It is also shown that nonlocal conservation laws exist for the two i...
1993-01-19
2011-07-19
[ "hep-th" ]
P. Dargis and P. Mathieu
hep-th/9301078
Topological 2-Dimensional Quantum Mechanics
We define a Chern- Simons Lagrangian for a system of planar particles topologically interacting at a distance. The anyon model appears as a particular case where all the particles are identical. We propose exact N-body eigenstates, set up a perturbative algorithm, discuss the case where some particles are fixed on a la...
1993-01-19
2009-10-22
[ "hep-th" ]
Alain Dasnieres de Veigy and Stephane Ouvry
hep-th/9301082
Evolution of Pure States into Mixed States
In the formulation of Banks, Peskin and Susskind, we show that one can construct evolution equations for the quantum mechanical density matrix $\rho$ with operators which do not commute with hamiltonian which evolve pure states into mixed states, preserve the normalization and positivity of $\rho$ and conserve energy. ...
1993-01-19
2008-02-03
[ "hep-th" ]
Jun Liu
hep-th/9301083
Two dimensional black-hole as a topological coset model of c=1 string theory
We show that a special superconformal coset (with $\hat c =3$) is equivalent to $c=1$ matter coupled to two dimensional gravity. This identification allows a direct computation of the correlation functions of the $c=1$ non-critical string to all genus, and at nonzero cosmological constant, directly from the continuum a...
1993-01-19
2009-10-22
[ "hep-th" ]
S. Mukhi and C. Vafa, E. Frenkel
hep-th/9301069
Four-Fermion Theory and the Conformal Bootstrap
We employ the conformal bootstrap to re-examine the problem of finding the critical behavior of four-Fermion theory at its strong coupling fixed point. Existence of a solution of the bootstrap equations indicates self-consistency of the assumption that, in space-time dimensions less than four, the renormalization group...
1993-01-18
2009-10-22
[ "hep-th" ]
Wei Chen (UBC), Yuri Makeenko (ITEP) and Gordon W Semenoff (UBC)
hep-th/9301076
Dual Isomonodromic Deformations and Moment Maps to Loop Algebras
The Hamiltonian structure of the monodromy preserving deformation equations of Jimbo {\it et al } is explained in terms of parameter dependent pairs of moment maps from a symplectic vector space to the dual spaces of two different loop algebras. The nonautonomous Hamiltonian systems generating the deformations are obta...
1993-01-18
2013-04-08
[ "hep-th", "math-ph", "math.MP" ]
J. Harnad
hep-th/9301075
Berenstein-Zelevinsky triangles, elementary couplings and fusion rules
We present a general scheme for describing su(N)_k fusion rules in terms of elementary couplings, using Berenstein-Zelevinsky triangles. A fusion coupling is characterized by its corresponding tensor product coupling (i.e. its Berenstein-Zelevinsky triangle) and the threshold level at which it first appears. We show th...
1993-01-18
2009-10-22
[ "hep-th", "math.QA" ]
L. Begin, Anatol N. Kirillov, P. Mathieu and M. A. Walton
hep-th/9301072
Second Order Formalism for fermions: Anomalies and Species doubling on the Laticce
A new formulation for fermions on the lattice based on a discretization of a second order formalism is proposed. A comparison with the first order formalism in connection with the $U(1)$ anomaly and the doubling problem is presented. The new formulation allows to eliminate half of the degrees of freedom, which can be i...
1993-01-18
2007-05-23
[ "hep-th" ]
J.L. Cort\'es, J. Gamboa and L. Vel\'azquez
hep-th/9301073
2D Black Holes and 2D Gravity
\small The SL$(2,R)/U(1)$ coset model, with $U(1)$ an element of the third conjugacy class of $SL(2,R)$ subgroups, is considered. The resulting theory is seen to collapse to a one dimensional field theory of Liouville. Then the 2 dimensional black hole $SL(2,R)/U(1)$, with $U(1)$ a non-compact subgroup boosted by a Lor...
1993-01-18
2007-05-23
[ "hep-th" ]
Farhad Ardalan
hep-th/9301070
Quasi-classical limit of Toda hierarchy and W-infinity symmetries
Previous results on quasi-classical limit of the KP hierarchy and its W-infinity symmetries are extended to the Toda hierarchy. The Planck constant $\hbar$ now emerges as the spacing unit of difference operators in the Lax formalism. Basic notions, such as dressing operators, Baker-Akhiezer functions and tau function, ...
1993-01-18
2009-10-22
[ "hep-th" ]
Kanehisa Takasaki and Takashi Takebe
hep-th/9301071
Second Order Formalism for Fermions
A new formulation of fermions based on a second order action is proposed. An analysis of the $U(1)$ anomaly allows us to test the validity of the formalism at the quantum level. This formulation gives a new perpective to the introduction of parity non-invariant interactions.
1993-01-18
2012-03-15
[ "hep-th" ]
J. L. Cort\'es, J. Gamboa and L. Vel\'azquez
hep-th/9301068
Two Dimensional QCD is a String Theory
The partition function of two dimensional QCD on a Riemann surface of area $A$ is expanded as a power series in $1/N$ and $A$. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two dimensional surface onto the two dimensional target space. Thus two dimensional QCD ha...
1993-01-18
2008-11-26
[ "hep-th", "hep-ph" ]
David J. Gross and Washington Taylor
hep-th/9301067
A Generalized Uncertainty Principle in Quantum Gravity
We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find a generalized uncertainty principle which agrees with a similar result obtained in the framework of string theories. The result i...
1993-01-17
2009-10-22
[ "hep-th", "gr-qc" ]
Michele Maggiore
hep-th/9301065
A Simple Model Inducing QCD
A simple lattice model inducing a gauge theory is considered. The model describes an interaction of a gauge field to an $N\times N$ complex matrix scalar field transforming as a field in the fundamental representation. In contrast to the Kazakov-Migdal model the model contains only the linear interaction between scalar...
1993-01-16
2011-07-19
[ "hep-th" ]
I.Ya. Aref'eva
hep-th/9301066
Off-critical $W_\infty$ and Virasoro Algebras As Dynamical Symmetries Of the Integrable Models
We find an infinite set of new noncommuting conserved charges in a specific class of perturbed CFT's and present a criterion for their existence.They appear to be higher momenta of the already known commuting conserved currents.The algebra they close consists of two noncommuting$W_\infty$ algebras.We find various Viras...
1993-01-16
2008-02-03
[ "hep-th" ]
Galen Sotkov and Marian Stanishkov
hep-th/9301062
A categorical construction of 4D TQFTs
We construct a four dimensional topological Quantum Field Theory from a modular tensor category. We complete the proof in the case of SU(2)q at a root of unity. Our construction may be important in the physical interpretation of the Chern Simons state in the Ashtekar variables.
1993-01-15
2008-02-03
[ "hep-th", "math.QA" ]
Louis Crane and David N. Yetter
hep-th/9301061
Categorical Physics
I propose a new mathematical form for the quantum theory of gravity coupled to matter. The motivation is from the connection between CSW TQFT and the Ashtekar variables. I also connect the algebraic structure of TQFT with some thoughts about the interpretation of quantum mechanics in a general relativistic setting.
1993-01-15
2009-09-25
[ "hep-th" ]
Louis Crane
hep-th/9301074
Geometry and W-Gravity
The higher-spin geometries of $W_\infty$-gravity and $W_N$-gravity are analysed and used to derive the complete non-linear structure of the coupling to matter and its symmetries. The symmetry group is a subgroup of the symplectic diffeomorphisms of the cotangent bundle of the world-sheet, and the $W_N$ geometry is obta...
1993-01-15
2016-09-06
[ "hep-th" ]
C.M. Hull
hep-th/9301058
How Fast Does Information Leak out from a Black Hole?
Hawking's radiance, even as computed without account of backreaction, departs from blackbody form due to the mode dependence of the barrier penetration factor. Thus the radiation is not the maximal entropy radiation for given energy. By comparing estimates of the actual entropy emission rate with the maximal entropy ra...
1993-01-15
2009-10-22
[ "hep-th", "gr-qc" ]
Jacob D. Bekenstein
hep-th/9301059
On Exact Evaluation of Path Integrals
Some mistakes have been corrected
1993-01-15
2009-10-22
[ "hep-th" ]
A.J. Niemi and O.Tirkkonen
hep-th/9301060
Generating Vector Boson Masses
If the Higgs particle is never found, one will need an alternative theory for vector boson masses. I propose such a theory involving an antisymmetric tensor potential coupled to a gauge field.
1993-01-15
2007-05-23
[ "hep-th", "hep-ph" ]
Amitabha Lahiri
hep-th/9301064
Rings and Balls
We examine the various linkings in space-time of ``ball-like'' and ``ring-like'' topological solitons in certain nonlinear sigma models in 2+1 and 3+1 dimensions. By going to theories where soliton overlaps are forbidden, these linkings become homotopically nontrivial and can be studied by investigating the topology of...
1993-01-15
2009-10-22
[ "hep-th" ]
Lee Brekke, Shane J. Hughes and Tom D. Imbo
hep-th/9301063
Link Invariants, Holonomy Algebras and Functional Integration
Given a principal G-bundle over a smooth manifold M, with G a compact Lie group, and given a finite-dimensional unitary representation of G, one may define an algebra of functions on the space of connections modulo gauge transformations, the ``holonomy Banach algebra'' H_b, by completing an algebra generated by regular...
1993-01-15
2008-02-03
[ "hep-th", "math.QA" ]
John C. Baez
hep-th/9301054
Topological Aspects of an Antisymmetric Background Field on Orbifolds
We study string theory on orbifolds in the presence of an antisymmetric constant background field in detail and discuss some of new aspects of the theory. It is pointed out that the term with the antisymmetric background field can be regarded as a topological term like a Chern-Simons term or a Wess-Zumino term. Detaile...
1993-01-14
2010-11-01
[ "hep-th" ]
Makoto Sakamoto
hep-th/9301055
Twistor-Like Formulation of Heterotic Strings
In this talk new formulations of the Green--Schwarz heterotic strings in $D$ dimensions that involve commuting spinors, are reviewed. These models are invariant under $n$--extended, world sheet supersymmetry as well as under $N=1$, target space supersymmetry where $n\leq D-2$ and $D=3,4,6,10$. The world sheet supersymm...
1993-01-14
2007-05-23
[ "hep-th" ]
M. Tonin
hep-th/9301056
Quantum Groups, Correlation Functions and Infrared Divergences
We show in two simple examples that for one-dimensional quantum chains with quantum group symmetries, the correlation functions of local operators are, in general, infrared divergent. If one considers, however, correlation functions invariant under the quantum group, the divergences cancel out.
1993-01-14
2009-10-22
[ "hep-th" ]
Haye Hinrichsen and Vladimir Rittenberg
hep-th/9301053
Many Boson Realizations of Universal Nonlinear $W_{\infty}$-Algebras
An infinite number of free field realizations of the universal nonlinear $\hat{W}_{\infty}^{(N)}$ ($\hat{W}_{1+\infty}^{(N)}$) algebras, which are identical to the KP Hamiltonian structures, are obtained in terms of $p$ plus $q$ scalars of different signatures with $p-q=N$. They are generalizations of the Miura transfo...
1993-01-14
2015-06-26
[ "hep-th" ]
Feng Yu
hep-th/9301057
Exact Finite Size Results on the Ising Model in 2D Curved Space
We propose an approach to statistical systems on lattices with sphere-like topology. Focusing on the Ising model, we consider the thermodynamic limit along a sequence of lattices which preserve the {\em fixed} large scale geometry. The hypothesis of scaling appears to hold at criticality, pointing at a sensible definit...
1993-01-14
2007-05-23
[ "hep-th" ]
J.Gonzalez and M.A.Martin-Delgado
hep-th/9301050
Generalized Conformal and Superconformal Group Actions and Jordan Algebras
We study the conformal groups of Jordan algebras along the lines suggested by Kantor. They provide a natural generalization of the concept of conformal transformations that leave 2-angles invariant to spaces where "p-angles" can be defined. We give an oscillator realization of the generalized conformal groups of Jordan...
1993-01-13
2010-11-01
[ "hep-th" ]
Murat Gunaydin
hep-th/9301046
Fermionic Sum Representations for Conformal Field Theory Characters
We present sum representations for all characters of the unitary Virasoro minimal models. They can be viewed as fermionic companions of the Rocha-Caridi sum representations, the latter related to the (bosonic) Feigin-Fuchs-Felder construction. We also give fermionic representations for certain characters of the general...
1993-01-13
2009-10-22
[ "hep-th" ]
R. Kedem, T.R. Klassen, B.M. McCoy and E. Melzer
hep-th/9301039
Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities
We prove that the dimensions of coinvariants of certain nilpotent subalgebras of the Virasoro algebra do not change under deformation in the case of irreducible representations of (2,2r+1) minimal models. We derive a combinatorial description of these representations and the Gordon identities from this result.
1993-01-13
2007-05-23
[ "hep-th" ]
Boris Feigin and Edward Frenkel
hep-th/9301049
N=4 Superconformal Algebras and Gauged WZW Models
As shown by Witten the N=1 supersymmetric gauged WZW model based on a group G has an extended N=2 supersymmetry if the gauged subgroup H is so chosen that G/H is Kahler. We extend Witten's result and prove that the N=1 supersymmetric gauged WZW models over G X U(1) are actually invariant under N=4 superconformal transf...
1993-01-13
2011-02-09
[ "hep-th" ]
Murat Gunaydin
hep-th/9301052
Black Strings and p-Branes are Unstable
We investigate the evolution of small perturbations around black strings and branes which are low energy solutions of string theory. For simplicity we focus attention on the zero charge case and show that there are unstable modes for a range of time frequency and wavelength in the extra $10-D$ dimensions. These perturb...
1993-01-13
2009-01-23
[ "hep-th", "gr-qc" ]
R.Gregory and R.Laflamme
hep-th/9301051
Hamiltonian Structure of Equations Appearing in Random Matrices
The level spacing distributions in the Gaussian Unitary Ensemble, both in the ``bulk of the spectrum,'' given by the Fredholm determinant of the operator with the sine kernel ${\sin \pi(x-y) \over \pi(x-y)}$ and on the ``edge of the spectrum,'' given by the Airy kernel ${\rm{Ai}(x) \rm{Ai}'(y) - \rm{Ai}(y) \rm{Ai}'(x) ...
1993-01-13
2008-02-03
[ "hep-th", "math-ph", "math.MP", "nlin.SI", "solv-int" ]
John Harnad, Craig A. Tracy, and Harold Widom
hep-th/9301047
Exact Effective Action and Spacetime Geometry in Gauged WZW Models
We present an effective quantum action for the gauged WZW model $G_{-k}/H_{-k}$. It is conjectured that it is valid to all orders of the central extension $(-k)$ on the basis that it reproduces the exact spacetime geometry of the zero modes that was previously derived in the algebraic Hamiltonian formalism. Besides the...
1993-01-13
2013-11-13
[ "hep-th" ]
I. Bars and K. Sfetsos
hep-th/9301043
Multiple Mirror Manifolds and Topology Change in String Theory
We use mirror symmetry to establish the first concrete arena of spacetime topology change in string theory. In particular, we establish that the {\it quantum theories} based on certain nonlinear sigma models with topologically distinct target spaces can be smoothly connected even though classically a physical singulari...
1993-01-12
2009-10-22
[ "hep-th" ]
Paul S. Aspinwall, Brian R. Greene, and David R. Morrison
hep-th/9301040
Folding the W Algebras
In the same way the folding of the Dynkin diagram of A_{2n} (resp. A_{2n-1}) produces the B_n (resp. C_n) Dynkin diagram, the symmetry algebra W of a Toda model based on B_n (resp. C_n) can be seen as resulting from the folding of a W-algebra based on A_{2n} (resp. A_{2n-1}). More generally, W algebras related to the B...
1993-01-12
2009-10-22
[ "hep-th" ]
L. Frappat, E. Ragoucy and P. Sorba
hep-th/9301048
Nonlinear Sigma Models and Symplectic Geometry on Loop Spaces of (Pseudo)Riemannian Manifolds
In this paper we consider symplectic and Hamiltonian structures of systems generated by actions of sigma-model type and show that these systems are naturally connected with specific symplectic geometry on loop spaces of Riemannian and (pseudo)Riemannian manifolds.
1993-01-12
2007-05-23
[ "hep-th" ]
Oleg Mokhov
hep-th/9301041
On the origin of multi-component anyon wave functions
In this paper I discuss how the component structure of anyon wave functions arises in theories with non-relativistic matter coupled to a Chern-Simons gauge field on the torus. It is shown that there exists a singular gauge transformation which brings the Hamiltonian to free form. The gauge transformation removes a degr...
1993-01-12
2009-10-22
[ "hep-th" ]
Ansar Fayyazuddin
hep-th/9301044
Kinetic theory in curved space: a first quantised approach
We study the real time formalism of non-equilibrium many-body theory, in a first quantised language. We argue that on quantising the relativistic scalar particle in spacetime with Minkowski signature, we should study both propagations $e^{i(p^2-m^2)\tilde \lambda}$ and $e^{-i(p^2-m^2)\tilde \lambda}$ on the particle wo...
1993-01-12
2007-05-23
[ "hep-th" ]
Samir D. Mathur
hep-th/9301042
Phases of $N=2$ Theories In Two Dimensions
This is a study of the Landau-Ginzburg/Calabi-Yau correspondence, and related matters, using linear sigma models.
1993-01-12
2010-04-07
[ "hep-th" ]
Edward Witten
hep-th/9301038
Combinatorial Solution of the Two-Matrix Model
We write down and solve a closed set of Schwinger-Dyson equations for the two-matrix model in the large $N$ limit. Our elementary method yields exact solutions for correlation functions involving angular degrees of freedom whose calculation was impossible with previously known techniques. The result sustains the hope t...
1993-01-12
2009-10-22
[ "hep-th" ]
Matthias Staudacher
hep-th/9301045
Braiding in Conformal Field Theory and Solvable Lattice Models
Braiding matrices in rational conformal field theory are considered. The braiding matrices for any two block four point function are computed, in general, using the holomorphic properties of the blocks and the holomorphic properties of rational conformal field theory. The braidings of $SU(N)_k$ with the fundamental are...
1993-01-12
2009-10-22
[ "hep-th" ]
Doron Gepner and Jurgen Fuchs
hep-th/9301031
New modular representations and fusion algebras from quantized SL(2,R) Chern-Simons theory
We consider the quantum-mechanical algebra of observables generated by canonical quantization of $SL(2,R)$ Chern-Simons theory with rational charge on a space manifold with torus topology. We produce modular representations generalizing the representations associated to the $SU(2)$ WZW models and we exhibit the explici...
1993-01-11
2008-02-03
[ "hep-th", "math.QA" ]
C. Imbimbo
hep-th/9301036
Canonical Chern-Simons Theory and the Braid Group on a Riemann Surface
We find an explicit solution of the Schr\"odinger equation for a Chern-Simons theory coupled to charged particles on a Riemann surface, when the coefficient of the Chern-Simons term is a rational number (rather than an integer) and where the total charge is zero. We find that the wave functions carry a projective repre...
1993-01-11
2011-07-19
[ "hep-th" ]
Mario Bergeron, David Eliezer and Gordon Semenoff
hep-th/9301035
A Comment on the Stability of String Monopoles
In recent work a multimonopole solution of heterotic string theory was obtained. The monopoles are noted to be stable, in contrast with analogous solutions of Einstein-Maxwell or Yang-Mills-dilaton theory. The existence of this and other classes of stable solitonic solutions in string theory thus provides a possible te...
1993-01-11
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9301034
Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
We study the electrodynamics of generic charged particles (bosons, fermions, relativistic or not) constrained to move on an infinite plane. An effective gauge theory in 2+1 dimensional spacetime which describes the real electromagnetic interaction of this particles is obtained. The relationship between this effective t...
1993-01-11
2009-10-22
[ "hep-th" ]
E.C.Marino
hep-th/9301030
Is 2d Turbulence a Conformal Turbulence?
A critical analysis of the conformal approach to the theory of 2d turbulence is delivered. It is shown, in particular, that conformal minimal models cannot give a general turbulent solution, which should provide for constant fluxes of all vorticity integrals of motion.
1993-01-11
2009-10-22
[ "hep-th", "cond-mat" ]
Gregory Falkovich and Amihay Hanany
hep-th/9301032
The Spatial Dynamics in Kazakov--Migdal Model
The spatially inhomogeneous large $N$ solutions to Kazakov--Migdal model are analyzed. The set of nonlinear differential equations is derived in the continuum limit. In one dimensional case these equations has a natural interpretation in terms of the dynamics of a Fermi gas. The multidimensional case seems to be incons...
1993-01-11
2009-10-22
[ "hep-th" ]
K.Zarembo
hep-th/9301033
String loop corrections to gauge and Yukawa couplings
We report on the recent progress in computing the effective supergravity action from superstring scattering amplitudes beyond the tree approximation. We discuss the moduli-dependent string loop corrections to gauge, gravitational and Yukawa couplings.
1993-01-11
2007-05-23
[ "hep-th", "hep-ph" ]
I. Antoniadis and T.R. Taylor
hep-th/9301037
On the Electromagnetic Interactions of Anyons
Using the appropriate representation of the Poincare group and a definition of minimal coupling, we discuss some aspects of the electromagnetic interactions of charged anyons. In a nonrelativistic expansion, we derive a Schrodinger-type equation for the anyon wave function which includes spin-magnetic field and spin-or...
1993-01-11
2011-08-12
[ "hep-th", "cond-mat" ]
Chihong Chou, V.P.Nair and A.Polychronakos
hep-th/9301029
Topological Two Dimensional Dilaton Supergravity
We present a topological version of two dimensional dilaton supergravity. It is obtained by gauging an extension of the super-Poincar\'e algebra in two space-time dimensions. This algebra is obtained by an unconventional contraction of the super de Sitter algebra. Besides the generators of the super de Sitter algebra i...
1993-01-10
2009-10-22
[ "hep-th" ]
V.O.Rivelles
hep-th/9301027
Physical States in Two-Dimensional Topological Gauge Theories
Physical states of two-dimensional topological gauge theories are studied using the BRST formalism in the light-cone gauge. All physical states are obtained for the abelian theory. There are an infinite number of physical states with different ghost numbers. Simple examples of physical states in a non-abelian theory ar...
1993-01-09
2015-06-26
[ "hep-th" ]
Yoshiaki Tanii and Masakazu Yamashita
hep-th/9301028
Knot theory and quantum gravity in loop space: a primer
These notes summarize the lectures delivered in the V Mexican School of Particle Physics, at the University of Guanajuato. We give a survey of the application of Ashtekar's variables to the quantization of General Relativity in four dimensions with special emphasis on the application of techniques of analytic knot theo...
1993-01-09
2015-06-26
[ "hep-th", "gr-qc", "math.QA" ]
Jorge Pullin
hep-th/9301025
Ideal Gas of Strings and QCD at Hadronic Scales
By using lessons learned from modern string studies, we show how interesting non-perturbative features of QCD can be learned from future heavy ion collisions even if the deconfinement density is not reached.
1993-01-08
2007-05-23
[ "hep-th", "hep-ph" ]
Chung-I Tan
hep-th/9301022
A proposal on the topological sector of 2d string
The field content of the two dimensional string theory consists of the dynamical tachyon field and some nonpropagating fields which consist in the topological sector of this theory. We propose in this paper to study this topological sector as a spacetime gauge theory with a simple centrally extended $w_\infty$ algebra....
1993-01-08
2008-02-03
[ "hep-th" ]
Miao Li
hep-th/9301026
Solvable lattice models labelled by Dynkin diagrams
An equivalence between generalised restricted solid-on-solid (RSOS) models, associated with sets of graphs, and multi-colour loop models is established. As an application we consider solvable loop models and in this way obtain new solvable families of critical RSOS models. These families can all be classified by the Dy...
1993-01-08
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
Ole Warnaar and Bernard Nienhuis
hep-th/9301024
$N=4$ super KdV equation
We construct $N=4$ supersymmetric KdV equation as a hamiltonian flow on the $N=4\;SU(2)$ super Virasoro algebra. The $N=4$ KdV superfield, the hamiltonian and the related Poisson structure are concisely formulated in $1D \;N=4$ harmonic superspace. The most general hamiltonian is shown to necessarily involve $SU(2)$ br...
1993-01-08
2009-10-22
[ "hep-th", "cond-mat" ]
F. Delduc and E. Ivanov