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hep-th/9408011
Ideal quantum gases in two dimensions
Thermodynamic properties of non-relativistic bosons and fermions in two spatial dimensions and without interactions are derived. All the virial coefficients are the same except for the second, for which the signs are opposite. This results in the same specific heat for the two gases. Existing equations of state for the...
1994-08-02
2009-10-28
[ "hep-th" ]
S. Viefers, F. Ravndal and T. Haugset
hep-th/9408014
Calculation of Graviton Scattering Amplitudes using String-Based Methods
Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with arbitrary internal particle content. Decomposing the amplitudes into contributions aris...
1994-08-02
2009-10-28
[ "hep-th" ]
David C. Dunbar and Paul S. Norridge
hep-th/9408012
On Entropy of 3-Dimensional Simplicial Complexes
We prove that the number of 3-dimensional simplicial complexes having the spherical topology grows exponentially as a function of a volume. It is suggested that the 3d simplicial quantum gravity has qualitatively the same phase structure as the O(n) matrix model in the dense phase.
1994-08-02
2008-02-03
[ "hep-th" ]
D.V.Boulatov
hep-th/9408007
A Hierarchy of Super $w$\ Strings
It is shown that the N-extended super $w_n$\ string can be obtained as a special class of vacua of both the N-extended super $w_{n+1}$\ string and the (N+1)-extended super $w_n$\ string. This hierarchy of super $w$\ string theories includes as subhierarchies both the superstring hierarchy given by Bastianelli, Ohta and...
1994-08-02
2017-02-01
[ "hep-th" ]
Hiroshi Kunitomo, Makoto Sakaguchi and Akira Tokura
hep-th/9408010
One-loop corrections to the instanton transition in the two-dimensional Abelian Higgs model
We present an evaluation of the fluctuation determinant which appears as a prefactor in the instanton transition rate for the two-dimensional Abelian Higgs model. The corrections are found to change the rate at most by a factor of 2 for 0.4 < M_W/M_H < 2.0.
1994-08-02
2009-10-28
[ "hep-th", "hep-lat", "hep-ph" ]
J. Baacke and T. Daiber (Dortmund University)
hep-th/9408013
The Power of Holomorphy -- Exact Results in 4D SUSY Field Theories
Holomorphy of the superpotential and of the coefficient of the gauge kinetic terms in supersymmetric theories lead to powerful results. They are the underlying conceptual reason for the important non-renormalization theorems. They also enable us to study the exact non-perturbative dynamics of these theories. We find ex...
1994-08-02
2007-05-23
[ "hep-th", "hep-ph" ]
Nathan Seiberg
hep-th/9408009
Equivalence of the Euclidean and Wightman Field Theories
The new inversion formula for the Laplace transformation of the tempered distributions with supports in the closed positive semiaxis is obtained. The inverse Laplace transform of the tempered distribution is defined by means of the limit of the special distribution constructed from this distribution. The weak spectral ...
1994-08-02
2009-10-28
[ "hep-th" ]
Yu.M. Zinoviev
hep-th/9408001
Realizations of the $q$-Heisenberg and $q$-Virasoro Algebras
We give field theoretic realizations of both the $q$-Heisenberg and the $q$-Virasoro algebra. In particular, we obtain the operator product expansions among the current and the energy momentum tensor obtained using the Sugawara construction.
1994-08-01
2009-10-28
[ "hep-th", "math.QA" ]
C. H. Oh and K. Singh
hep-th/9408002
Unification of Spins and Charges in Grassmann Space?
In a space of d $(d > 5) $ ordinary and d Grassmann coordinates, fields manifest in an ordinary four-dimensional subspace as spinor (1/2, 3/2), scalar, vector or tensor fields with the corresponding charges, according to two kinds of generators of the Lorentz transformations in the Grassmann space. Vielbeins and spin c...
1994-08-01
2009-10-28
[ "hep-th" ]
Norma Manko\v{c} Bor\v{s}tnik
hep-th/9408004
The boundary sine-Gordon theory: classical and semi-classical analysis
We consider the sine-Gordon model on a half-line, with an additional potential term of the form $-M\cos{\beta\over 2}(\varphi-\varphi_0)$ at the boundary. We compute the classical time delay for general values of $M$, $\beta$ and $\varphi_0$ using $\tau$-function methods and show that in the classical limit, the method...
1994-08-01
2010-11-01
[ "hep-th" ]
H.Saleur, S.Skorik and N.P.Warner
hep-th/9408005
Critical Behavior of the Marinari-Parisi Model
We consider the continuum string theory corresponding to the Marinari-Parisi supersymmetric matrix model. We argue that the world-sheet physics is exotic, and different from any known supersymmetric string theory. The embedding superspace coordinates become disordered on the world-sheet, but because of the noncompactne...
1994-08-01
2009-10-09
[ "hep-th" ]
S. Chaudhuri and J. Polchinski
hep-th/9407198
A truly marginal deformation of SL(2,R) in a null direction
We perform a marginal deformation of the SL(2,R) WZW model in a null direction. If we send the deformation parameter to infinity we obtain a linear dilaton background plus two free bosons. We show in addition that such a background can be obtained by a duality transformation of the undeformed WZW model. In the end we i...
1994-07-31
2009-10-28
[ "hep-th" ]
Stefan Forste
hep-th/9408003
Principal Bundles, Connections and BRST Cohomology
We review the elementary theory of gauge fields and the Becchi-Rouet-Stora- Tyutin symmetry in the context of differential geometry. We emphasize the topological nature of this symmetry and discuss a double Chevalley-Eilenberg complex for it.
1994-07-30
2016-08-14
[ "hep-th" ]
H. Garc\'ia-Compe\'an, J.M. L\'opez-Romero, M.A. Rodr\'iguez-Segura and M. Socolovsky
hep-th/9407197
On a possible breaking of global N=2 supersymmetry in non-linear $\si$ models on compact K\"ahler target spaces
We analyse with the algebraic, regularisation independent, cohomological B.R.S. methods, the renormalisability of torsionless N=2 supersymmetric non-linear $\si$ models built on compact K\"ahler spaces. Surprisingly enough with respect to the common wisdom, we obtain an anomaly candidate, when the Hodge number $h^{3,0}...
1994-07-30
2007-05-23
[ "hep-th" ]
Guy Bonneau
hep-th/9407192
A Note on ODEs from Mirror Symmetry
We give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as a generalization of ...
1994-07-29
2007-05-23
[ "hep-th" ]
A. Klemm, B.H. Lian, S.S. Roan and S.-T. Yau
hep-th/9407191
Polynomial identities of the Rogers--Ramanujan type
Presented are polynomial identities which imply generalizations of Euler and Rogers--Ramanujan identities. Both sides of the identities can be interpreted as generating functions of certain restricted partitions. We prove the identities by establishing a graphical one-to-one correspondence between those two kinds of re...
1994-07-29
2009-10-28
[ "hep-th", "math.QA" ]
Omar Foda and Yas-Hiro Quano
hep-th/9407195
The Euclidean Hopf algebra $U_q(e^N)$ and its fundamental Hilbert space representations
We construct the Euclidean Hopf algebra $U_q(e^N)$ dual of $Fun(\rn_q^N\lcross SO_{q^{-1}}(N))$ by realizing it as a subalgebra of the differential algebra $\DFR$ on the quantum Euclidean space $\rn_q^N$; in fact, we extend our previous realization \cite{fio4} of $U_{q^{-1}}(so(N))$ within $\DFR$ through the introducti...
1994-07-29
2010-11-01
[ "hep-th", "math.QA" ]
Gaetano Fiore
hep-th/9407196
Gauged Wess-Zumino terms and Equivariant Cohomology
We summarize some results obtained on the problem of gauging the Wess--Zumino term of a d-dimensional bosonic sigma-model. We show that gauged WZ-like terms are in one-to-one correspondence with equivariant cocycles of the target space. By the same token, the obstructions to gauging a WZ term can be understood in terms...
1994-07-29
2009-10-28
[ "hep-th" ]
J M Figueroa-O'Farrill and S Stanciu
hep-th/9407193
(3+1)-Dimensional Schwinger Terms and Non-commutative Geometry
We discuss 2-cocycles of the Lie algebra $\Map(M^3;\g)$ of smooth, compactly supported maps on 3-dimensional manifolds $M^3$ with values in a compact, semi-simple Lie algebra $\g$. We show by explicit calculation that the Mickelsson-Faddeev-Shatashvili cocycle $\f{\ii}{24\pi^2}\int\trac{A\ccr{\dd X}{\dd Y}}$ is cohomol...
1994-07-29
2009-10-28
[ "hep-th" ]
Edwin Langmann and Jouko Mickelsson
hep-th/9407194
Higher algebras and mesonic spectrum in two-dimensional QCD
We construct composite operators in two-dimensional bosonized QCD, which obey a $W_\infty$ algebra, and discuss their relation to analogous objects recently obtained in the fermionic language. A complex algebraic structure is unravelled, supporting the idea that the model is integrable. For singlets we find a mass spec...
1994-07-29
2011-07-19
[ "hep-th" ]
E. Abdalla and M.C.B. Abdalla
hep-th/9407189
Supersymmetric Integrable Hierarchies and String Theory
This thesis is roughly organized into two parts. The first one (the first three chapters), expository in nature, attempts to place the current work in context: at first historically, but then focusing on the Lax formalism and the Adler--Gel'fand--Dickey scheme for hierarchies of the KdV type. The second part (the last ...
1994-07-28
2020-10-19
[ "hep-th" ]
Sonia Stanciu
hep-th/9407186
An explicit construction of the quantum group in chiral WZW-models
It is shown how a chiral Wess-Zumino-Witten theory with globally defined vertex operators and a one-to-one correspondence between fields and states can be constructed. The Hilbert space of this theory is the direct sum of tensor products of representations of the chiral algebra and finite dimensional internal parameter...
1994-07-28
2009-10-28
[ "hep-th" ]
M.R. Gaberdiel
hep-th/9407190
N=4 Topological Strings
We show how to make a topological string theory starting from an $N=4$ superconformal theory. The critical dimension for this theory is $\hat c= 2$ ($c=6$). It is shown that superstrings (in both the RNS and GS formulations) and critical $N=2$ strings are special cases of this topological theory. Applications for this ...
1994-07-28
2009-10-28
[ "hep-th" ]
Nathan Berkovits and Cumrun Vafa
hep-th/9407188
Spontaneous Breakdown of the Lorentz Invariance and the Nambu-Goldstone Theorem
In a class of three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. An originally topologically massive photon becomes gapless, i.e. p_0=0 at {\vec p}=0. Indeed, the photon is the Nambu-Goldstone boson associated with the spontaneous breaking ...
1994-07-28
2007-05-23
[ "hep-th" ]
Yutaka Hosotani
hep-th/9407187
Energy associated with charged dilaton black holes
It is known that certain properties of charged dilaton black holes depend on a free parameter $\beta$ which controls the strength of the coupling of the dilaton to the Maxwell field. We obtain the energy associated with static spherically symmetric charged dilaton black holes for arbitrary value of the coupling paramet...
1994-07-28
2014-11-18
[ "hep-th", "gr-qc" ]
A. Chamorro and K. S. Virbhadra
hep-th/9407181
Self-dual solutions of 2+1 Einstein gravity with a negative cosmological constant
All the causally regular geometries obtained from (2+1)-anti-de Sitter space by identifications by isometries of the form $P \rightarrow (\exp \pi\xi) P$, where $\xi$ is a self-dual Killing vector of $so(2,2)$, are explicitely constructed. Their remarkable properties (Killing vectors, Killing spinors) are listed. These...
1994-07-27
2007-05-23
[ "hep-th" ]
O. Coussaert and M. Henneaux
hep-th/9407182
The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid...
1994-07-27
2009-10-28
[ "hep-th" ]
E.Fradkin and F.A.Schaposnik
hep-th/9407178
The Bosonic Structure of Fermions
We bosonize fermions by identifying their occupation numbers as the binary digits of a Bose occupation number. Unlike other schemes, our method allows infinitely many fermionic oscillators to be constructed from just one bosonic oscillator.
1994-07-27
2015-06-26
[ "hep-th" ]
J.Ruan and R.J.Crewther
hep-th/9407183
Free Fermions and Extended Conformal Algebras
A class of algebras is constructed using free fermions and the invariant antisymmetric tensors associated with irreducible holonomy groups. (This version contains minor typographical corrections and some additional references. )
1994-07-27
2014-01-21
[ "hep-th" ]
P.S. Howe, G. Papadopoulos, P.C.West
hep-th/9407184
Central Extension of a New $W_\infty$ - Type Algebra
The central extension of a new infinite dimensional algebra which has both $W_\infty$ and affine $sl(2,R)$ as subalgebras is found. The critical dimension of the corresponding string model is $D=5$.
1994-07-27
2015-06-26
[ "hep-th" ]
M.Stoilov and R.Zaikov
hep-th/9407177
Quantum Gravity and Equivariant Cohomology
A procedure for obtaining correlation function densities and wavefunctionals for quantum gravity from the Donaldson polynomial invariants of topological quantum field theories, is given. We illustrate how our procedure may be applied to three and four dimensional quantum gravity. Detailed expressions, derived from \sbf...
1994-07-27
2009-10-28
[ "hep-th", "gr-qc" ]
R. Brooks and G. Lifschytz
hep-th/9407180
Towards complex(rational) powers of free fields, generalized $\beta\gamma$ systems and non-polynomial quantum field theory
The $\beta\gamma$ system is generalized by complex(rational) powers of the fields, which leads to a corresponding extension on the Fock space. Two different approaches to compute the Green functions of the physical operators are proposed. First the complex(rational) powers are defined via an integral representation,tha...
1994-07-27
2015-06-26
[ "hep-th" ]
Oleg Andreev
hep-th/9407185
Low-Energy Kahler Potentials in Supersymmetric Gauge Theories with (ALMOST) Flat Directions
We derive the supersymmetric low-energy effective theory of the D-flat directions of a supersymmetric gauge theory. The Kahler potential of Affleck, Dine and Seiberg is derived by applying holomorphic constraints which manifestly maintain supersymmetry. We also present a simple procedure for calculating all derivatives...
1994-07-27
2009-09-15
[ "hep-th", "hep-ph" ]
Erich Poppitz and Lisa Randall
hep-th/9407179
Octonionic representations of Clifford algebras and triality
The theory of representations of Clifford algebras is extended to employ the division algebra of the octonions or Cayley numbers. In particular, questions that arise from the non-associativity and non-commutativity of this division algebra are answered. Octonionic representations for Clifford algebras lead to a notion ...
1994-07-27
2015-06-26
[ "hep-th", "math.QA" ]
J\"org Schray, Corinne A. Manogue
hep-th/9407174
Differential Equations for Definition and Evaluation of Feynman Integrals
It is shown that every Feynman integral can be interpreted as Green function of some linear differential operator with constant coefficients. This definition is equivalent to usual one but needs no regularization and application of $R$-operation. It is argued that presented formalism is convenient for practical calcula...
1994-07-26
2016-09-06
[ "hep-th" ]
F.A.Lunev
hep-th/9407171
Nonclassical Light in Interferometric Measurements
It is shown that the even and odd coherent light and other nonclassical states of light like superposition of coherent states with different phases may replace the squeezed light in interferometric gravitational wave detector to increase its sensitivity. (Contribution to the Second Workshop on Harmonic Oscillator, Coco...
1994-07-26
2019-08-16
[ "hep-th" ]
N. A. Ansari, L. Di Fiore, M.A.Man'ko, V.I.Man'ko, R. Romano, S. Solimeno and F. Zaccaria
hep-th/9407176
The String Partition Function for QCD on the Torus
We study the free energy of the pure glue QCD string with a torus target space and the gauge groups $SU(N)$ and (chiral) $U(N)$. It is highly constrained by a strong/weak gauge coupling duality which results in modular covariance. The string free energy is computed exactly in terms of modular forms for worldsheet gener...
1994-07-26
2007-05-23
[ "hep-th" ]
Robert Rudd
hep-th/9407158
Constraints and Period Relations in Bosonic Strings at Genus-g
We examine some of the implications of implementing the usual boundary conditions on the closed bosonic string in the hamiltonian framework. Using the KN formalism, it is shown that at the quantum level, the resulting constraints lead to relations among the periods of the basis 1-forms. These are compared with those of...
1994-07-26
2010-04-06
[ "hep-th" ]
C.H. Oh and K. Singh
hep-th/9407168
Dynamical Flavor Symmetry Breaking by a Magnetic Field in $2+1$ Dimensions
It is shown that in $2+1$ dimensions, a constant magnetic field is a strong catalyst of dynamical flavor symmetry breaking, leading to generating a fermion dynamical mass even at the weakest attractive interaction between fermions. The essence of this effect is that in a magnetic field, in $2+1$ dimensions, the dynamic...
1994-07-26
2009-10-28
[ "hep-th", "hep-ph" ]
V.P.Gusynin, V.A.Miransky, and I.A.Shovkovy
hep-th/9407169
Calculating the Rest Tension for a Polymer of String Bits
We explore the application of approximation schemes from many body physics, including the Hartree-Fock method and random phase approximation (RPA), to the problem of analyzing the low energy excitations of a polymer chain made up of bosonic string bits. We accordingly obtain an expression for the rest tension $T_0$ of ...
1994-07-26
2016-08-24
[ "hep-th" ]
Charles B. Thorn
hep-th/9407175
Four Dimensional Yang - Mills Theory in Local Gauge Invariant Variables
It is presented the general method that allows to formulate 4D $SU(N)$ Yang - Mills theory in terms of only local gauge invariant variables. For the case N=2, that is discussed in details, this gauge invariant formulation appears to be very similar to $ R^2 $-gravity.
1994-07-26
2011-07-19
[ "hep-th" ]
F.A.Lunev
hep-th/9407173
Toward One-Loop Tunneling Rates of Near-Extremal Magnetic Black Hole Pair-Production
Pair-production of magnetic Reissner-Nordstr\"{o}m black holes (of charges $\pm q$) was recently studied in the leading WKB approximation. Here, we consider generic quantum fluctuations in the corresponding instanton geometry given by the Euclidean Ernst metric, in order to simulate the behaviour of the one-loop tunnel...
1994-07-26
2009-10-28
[ "hep-th", "gr-qc" ]
Piljin Yi
hep-th/9407170
The Lagrangian Loop Representation of Lattice U(1) Gauge Theory
It is showed how the Hamiltonian lattice $loop$ $representation$ can be cast straightforwardly in the Lagrangian formalism. The procedure is general and here we present the simplest case: pure compact QED. This connection has been shaded by the non canonical character of the algebra of the fundamental loop operators. T...
1994-07-26
2011-07-19
[ "hep-th" ]
J.M. Aroca, M.Baig and H.Fort
hep-th/9407172
Statistics of parametrically excited photon--added coherent states
Photon distribution function, means and dispersions are found explicitly for the nonclassical state of light which is created from the photon--added coherent state $\vert \alpha,m \rangle$ due to a time--dependence of the frequency of the electromagnetic field oscillator. Generating function for factorial momenta is ob...
1994-07-26
2009-09-25
[ "hep-th" ]
V.V.Dodonov, Ya.A.Korennoy, V.I.Man'ko, and Y.A.Muukhin
hep-th/9407162
Transition from SU(2)_L x SU(2)_R x U(1)_(B-L) Representation to SU(2)_L x U(1)_Y by q-Deformation and the Corresponding Classical Breaking Term of Chiral U(2)
The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the vev and the hypercharge splitting (Delta) of right-handed leptons (quarks) in a family vanish and Q=T_0 + Y independently in each helicity sector. As a generalization, we start with SU(2)_L x SU(2)_R x U(1)_{(B-L)} and introduce Delta as a con...
1994-07-25
2009-10-28
[ "hep-th", "hep-ph" ]
R. Bonisch
hep-th/9407160
Dynamical Gauge Field induced by the Berry Phase Mechanism
Some part of the local gauge symmetries in the low energy region, say, lower than GUT or the Planck energy can be an induced symmetry describable with the holonomy fields associated with a topologically non-trivial structure of partially compactified space. In the case where a six dimensional space is compactified by t...
1994-07-25
2010-11-01
[ "hep-th" ]
Keiji Kikkawa and Humitaka Tamura
hep-th/9407165
A Class of Quantum States with Classical-like Evolution
In the framework of Nelson stochastic quantization we derive exact non-stationary states for a class of time-dependent potentials. The wave-packets follow a classical motion with constant dispersion. The new states thus define a possible extension of the harmonic-oscillator coherent states to more general potentials. A...
1994-07-25
2009-10-28
[ "hep-th", "chao-dyn", "cond-mat", "nlin.CD" ]
S. De Martino, S. De Siena and F. Illuminati
hep-th/9407161
Anyons and Deformed Lie Algebras
We discuss the connection between anyons (particles with fractional statistics) and deformed Lie algebras (quantum groups). After a brief review of the main properties of anyons, we present the details of the anyonic realization of all deformed classical Lie algebras in terms of anyonic oscillators. The deformation par...
1994-07-25
2009-09-25
[ "hep-th" ]
Marialuisa Frau, Alberto Lerda and Stefano Sciuto
hep-th/9407167
Touching Random Surfaces and Liouville Gravity
Large $N$ matrix models modified by terms of the form $ g(\Tr\Phi^n)^2$ generate random surfaces which touch at isolated points. Matrix model results indicate that, as $g$ is increased to a special value $g_t$, the string susceptibility exponent suddenly jumps from its conventional value $\gamma$ to ${\gamma\over\gamma...
1994-07-25
2016-08-24
[ "hep-th" ]
Igor R. Klebanov
hep-th/9407159
The Perturbative Quantization of Gravity
A suggestion is made for quantizing gravity perturbatively, and is illustrated for the example of a massive scalar field with gravity.
1994-07-25
2007-11-15
[ "hep-th", "gr-qc" ]
A.Y. Shiekh
hep-th/9407164
Supersymmetric Field Theory from Supermatrix Models
We show that the continuum limit of one-dimensional N=2 supersymmetric matrix models can be described by a two-dimensional interacting field theory of a massless boson and two chiral fermions. We interpret this field theory as a two-dimensional N=1 supersymmetric theory of two chiral superfields, in which one of the ch...
1994-07-25
2007-05-23
[ "hep-th" ]
R. Brustein, M. Faux and B. Ovrut
hep-th/9407166
Random Ising Spins in Two Dimensions - A Flat Space Realization of the KPZ Exponents
A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically triangulated Ising model with spins constrained to move on a flat surface. As a functi...
1994-07-25
2009-10-28
[ "hep-th", "cond-mat", "hep-lat" ]
Marco Vekic, Shao Liu, and Herbert W. Hamber
hep-th/9407163
Towards c=0 Flows
We discuss some implications of the gravitational dressing of the renormalization group for conformal field theories perturbed by relevant operators. The renormalization group flows are defined with respect to the dilatation operator associated with the $J_0^{(0)}$ mode of the $SL(2,R)$ affine algebra. We discuss the p...
1994-07-25
2009-10-28
[ "hep-th" ]
W.A. Sabra, O.A. Soloviev and S. Thomas
hep-th/9407157
Particle Tracks, Events and Quantum Theory
The law of track formation in cloud chambers is derived from the Liouville equation with a simple Lindblad's type generator that describes coupling between a quantum particle and a classical, continuous, medium of two--state detectors. Piecewise deterministic random process (PDP) corresponding to the Liouville equation...
1994-07-24
2011-08-17
[ "hep-th" ]
A. Jadczyk
hep-th/9407155
Ehlers--Harrison--Type Transformations in Dilaton--Axion Gravity
The ten--parametric internal symmetry group is found in the $D=4$ Einstein--Maxwell--Dilaton--Axion theory restricted to space--times admitting a Killing vector field. The group includes dilaton--axion $SL(2,R)$ duality and Harrison--type transformations which are similar to some target--space duality boosts, but act o...
1994-07-23
2014-11-18
[ "hep-th" ]
D.V. Gal'tsov and O.V. Kechkin
hep-th/9407152
Superconformal current algebras and topological field theories
Topological conformal field theories based on superconformal current algebras are constructed. The models thus obtained are the supersymmetric version of the $G/G$ coset theories. Their topological conformal algebra is generated by operators of dimensions $1$, $2$ and $3$ and can be regarded as an extension of the twis...
1994-07-23
2011-08-12
[ "hep-th" ]
J.M. Isidro and A.V. Ramallo
hep-th/9407153
Obstructions to Gauging WZ Terms: a Symplectic Curiosity
This is an expository talk about the relation between gauging the WZ term of a one-dimensional sigma-model with a symplectic target and the existence of an equivariant moment mapping for symplectic group actions. The punch line is that the obstructions for gauging coincide with the obstructions for the existence of the...
1994-07-23
2007-05-23
[ "hep-th" ]
J.M. Figueroa-O'Farrill
hep-th/9407154
Conformal field theory and integrable systems associated with elliptic curves
An elliptic version of quantum groups is proposed. It comes form the quantization of the Knizhnik-Zamolodchikov- Bernard equation on the torus. The relation with elliptic IRF models is explained.
1994-07-23
2007-05-23
[ "hep-th" ]
Giovanni Felder
hep-th/9407143
Hadron Correlators and the Structure of the Quark Propagator
The structure of the quark propagator of $QCD$ in a confining background is not known. We make an Ansatz for it, as hinted by a particular mechanism for confinement, and analyze its implications in the meson and baryon correlators. We connect the various terms in the K\"allen-Lehmann representation of the quark propaga...
1994-07-22
2009-10-28
[ "hep-th", "hep-ph" ]
A. Ferrando and V. Vento
hep-th/9407150
$B \wedge F$ Term by Spontaneous Symmetry Breaking in a generalized Abelian Higgs Model
We show that the topological $B \wedge F$ term in $3+1$ dimensions can be generated via spontaneous symmetry breaking in a generalized Abelian Higgs model. Further, we also show that even in $D$ dimensions $ ( D \geq 3 ) $, a $B \wedge F$ term gives rise to the topological massive excitations of the Abelian gauge field...
1994-07-22
2009-10-28
[ "hep-th" ]
Pijush K. Ghosh, Avinash Khare and Prasanta K. Panigrahi
hep-th/9407149
Equivariant Cohomology and Gauged Bosonic sigma-Models
We re-examine the problem of gauging the Wess-Zumino term of a d-dimensional bosonic sigma-model. We phrase this problem in terms of the equivariant cohomology of the target space and this allows for the homological analysis of the obstruction. As a check, we recover the obstructions of Hull and Spence and also a gener...
1994-07-22
2008-02-03
[ "hep-th" ]
J M Figueroa-O'Farrill and S Stanciu
hep-th/9407151
Gravitationally Dressed Conformal Field Theory and Emergence of Logarithmic Operators
We study correlation functions in two-dimensional conformal field theory coupled to induced gravity in the light-cone gauge. Focussing on the fermion four-point function, we display an unexpected non-perturbative singularity structure: coupling to gravity {\it qualitatively} changes the perturbative $(x_1-x_2)^{-1}(x_3...
1994-07-22
2007-05-23
[ "hep-th" ]
Adel Bilal and Ian I. Kogan
hep-th/9407145
Translation map in quantum principal bundles
The notion of a translation map in a quantum principal bundle is introduced. A translation map is then used to prove that the cross sections of a quantum fibre bundle $E(B,V,A)$ associated to a quantum principal bundle $P(B,A)$ are in bijective correspondence with equivariant maps $V\to P$, and that a quantum principal...
1994-07-22
2009-10-28
[ "hep-th", "math.QA" ]
Tomasz Brzezinski
hep-th/9407147
Extended Supersymmetry and Super-BF Gauge Theories
The absence of fermion kinetic terms in supersymmetric-BF gauge theories is established. We do this by means of explicit off-shell (superspace) constructions. As part of our study we give the superspace constraints for D=3, N=4 super Yang-Mills along with the D=3, N=4 superconformal algebra. The puzzle we are intereste...
1994-07-22
2009-10-28
[ "hep-th" ]
R. Brooks and S. J. Gates Jr
hep-th/9407146
Modified Tetrahedron Equations and Related 3D Integrable Models
Using a modified version of the tetrahedron equations we construct a new family of $N$-state three-dimensional integrable models with commuting two-layer transfer-matrices. We investigate a particular class of solutions to these equations and parameterize them in terms of elliptic functions. The corresponding models co...
1994-07-22
2019-08-15
[ "hep-th" ]
H.E. Boos, V.V. Mangazeev, S.M. Sergeev
hep-th/9407156
Constraint Algebras in Gauge Invariant Systems
The Hamiltonian description for a wide class of mechanical systems, having local symmetry transformations depending on time derivatives of the gauge parameters of arbitrary order, is constructed. The Poisson brackets of the Hamiltonian and constraints with each other and with arbitrary function are explicitly obtained....
1994-07-22
2015-06-26
[ "hep-th" ]
Kh. S. Nirov
hep-th/9407148
Aspects of affine Toda field theory on a half line
The question of the integrability of real-coupling affine toda field theory on a half line is discussed. It is shown, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particular, among the cases treated so far, $e_6^{(1)}$, $d_n^{(1)}$ and $a_n^...
1994-07-22
2008-11-26
[ "hep-th" ]
E. Corrigan P.E. Dorey and R.H. Rietdijk
hep-th/9407139
The QCD Trace Anomaly as a Vacuum Effect (The vacuum is a medium is the message!)
We use arguments taken from the electrodynamics of media to deduce the QCD trace anomaly from the expression for the vacuum energy in the presence of an external color magnetic field.
1994-07-21
2015-06-26
[ "hep-th" ]
J. Grundberg and T. H. Hansson (Stockhom University)
hep-th/9407141
Extended Toda lattice hierarchy, extended two-matrix model and c=1 string theory
We show how the two--matrix model and Toda lattice hierarchy presented in a previous paper can be solved exactly: we obtain compact formulas for correlators of pure tachyonic states at every genus. We then extend the model to incorporate a set of discrete states organized in finite dimensional $sl_2$ representations. W...
1994-07-21
2009-10-28
[ "hep-th" ]
L.Bonora and C.S.Xiong
hep-th/9407136
Strings and Loops in Event Symmetric Space-Time
Open and Closed super-string field theories are constructed in an event-symmetric target space. The partition functions of Statistical and Quantum models are constructed in terms of invariants defined on Lie-algebra representations. An attractive feature of the closed string models is the elegant unification of the spa...
1994-07-21
2007-05-23
[ "hep-th" ]
P. E. Gibbs
hep-th/9407140
Harmonic maps between three-spheres
It is shown that smooth maps $f: S^3 \rightarrow S^3$ contain two countable families of harmonic representatives in the homotopy classes of degree zero and one.
1994-07-21
2008-02-03
[ "hep-th", "gr-qc", "math.QA" ]
Piotr Bizo\'n
hep-th/9407134
The Topological CP^1 Model and the Large-N Matrix Integral
We discuss the topological $CP^1$ model which consists of the holomorphic maps from Riemann surfaces onto $CP^1$. We construct a large-$N$ matrix model which reproduces precisely the partition function of the $CP^1$ model at all genera of Riemann surfaces. The action of our matrix model has the form ${\rm Tr}\, V(M)=-2...
1994-07-21
2015-06-26
[ "hep-th" ]
T. Eguchi and S.-K. Yang
hep-th/9407137
A Unified Conformal Model for Fundamental Interactions without Dynamical Higgs Field
A Higgsless model for strong, electro-weak and gravitational interactions is proposed. This model is based on the local symmetry group SU(3)xSU(2)xU(1)xC where C is the local conformal symmetry group. The natural minimal conformally invariant form of total lagrangian is postulated. It contains all Standard Model fields...
1994-07-21
2009-10-28
[ "hep-th" ]
Marek Pawlowski and Ryszard Raczka
hep-th/9407142
Generalized q-Oscillators and their Hopf Structures
We study the relationships among the various forms of the $q$ oscillator algebra and consider the conditions under which it supports a Hopf structure. We also present a generalization of this algebra together with its corresponding Hopf structure. Its multimode extensions are also considered.
1994-07-21
2009-10-28
[ "hep-th", "math.QA" ]
C. H. Oh and K. Singh
hep-th/9407144
On the High-Temperature Behaviour of the Closed Superstring
The high-temperature expansion for closed superstring one-loop free energy is studied. The Laurent series representation is obtained and its sum is analytically continued in order to investigate the nature of the critical (Hagedorn) temperature. It is found that beyond this critical temperature the statistical sum cont...
1994-07-21
2009-10-28
[ "hep-th" ]
S. Dusini and S. Zerbini
hep-th/9407135
The Quantum Super Yangian and Casimir Operators of $U_q(gl(M|N))$
The quantum super Yangian $Y_q(gl(M|N))$ associated with the Perk - Schultz solution of the Yang - Baxter equation is introduced. Its structural properties are investigated, in particular, an extensive study of its central algebra is carried out. A $Z_2$ graded associative algebra epimorphism $Y_q(gl(M|N))--> U_q(gl(M|...
1994-07-21
2009-10-28
[ "hep-th" ]
R. B. Zhang
hep-th/9407138
Drinfel'd algebra deformations, homotopy comodules and the associahedra
The aim of this work is to construct a cohomology theory controlling the deformations of a general Drinfel'd algebra. The task is accomplished in three steps. The first step is the construction of a modified cobar complex adapted to a non-coassociative comultiplication. The following two steps each involve a new, highl...
1994-07-21
2008-02-03
[ "hep-th", "math.QA" ]
Martin Markl and Steve Shnider
hep-th/9407132
On a Bosonic-Parafermionic Realization of $U_q(\widehat{sl(2)})$
We realize the $U_q(\widehat{sl(2)})$ current algebra at arbitrary level in terms of one deformed free bosonic field and a pair of deformed parafermionic fields. It is shown that the operator product expansions of these parafermionic fields involve an infinite number of simple poles and simple zeros, which then condens...
1994-07-20
2015-06-26
[ "hep-th" ]
A.Hamid Bougourzi and Luc Vinet
hep-th/9407118
Topology, Entropy and Witten Index of Dilaton Black Holes
We have found that for extreme dilaton black holes an inner boundary must be introduced in addition to the outer boundary to give an integer value to the Euler number. The resulting manifolds have (if one identifies imaginary time) topology $S^1 \times R \times S^2 $ and Euler number $\chi = 0$ in contrast to the non-e...
1994-07-20
2009-09-25
[ "hep-th", "gr-qc" ]
G.W. Gibbons and R.E. Kallosh
hep-th/9407128
Integrability and duality in two-dimensional QCD
We consider bosonized $QCD_2$, and prove that after rewritting the theory in terms of gauge invariant fields, there exists an integrability condition valid for the quantum theory as well. Furthermore, performing a duality type transformation we obtain an appropriate action for the description of the strong coupling lim...
1994-07-20
2011-07-19
[ "hep-th" ]
E. Abdalla and M. C. B. Abdalla
hep-th/9407125
The Invariant Fermion Correlator in the Schwinger Model on the Torus
We construct the gauge invariant fermion correlator in the Schwinger model on the torus. At zero temperature, this correlator falls off with a rate given by the Coulomb energy of an infinitely heavy charge. At high temperature, the screening mass approaches $\pi T/2$, and this in the presence of a mass gap. The fractio...
1994-07-20
2009-10-28
[ "hep-th", "hep-ph" ]
James Steele, Jacobus Verbaarschot, and Ismail Zahed
hep-th/9407129
Natural Symmetries of the Yang-Mills Equations
We define a natural generalized symmetry of the Yang-Mills equations as an infinitesimal transformation of the Yang-Mills field, built in a local, gauge invariant, and Poincar\'e invariant fashion from the Yang-Mills field strength and its derivatives to any order, which maps solutions of the field equations to other s...
1994-07-20
2009-10-28
[ "hep-th" ]
C. G. Torre
hep-th/9407131
The Conformal Points Of The Generalized Thirring Model
The conformal fixed points of the generalized Thirring model are investigated with the help of bosonization, the large N limit and the operator product expansion. Necessary conditions on the coupling constants for conformal invariance are derived.
1994-07-20
2009-10-28
[ "hep-th" ]
Korkut Bardakci
hep-th/9407133
Magnetic Wormholes and Vertex Operators
We consider wormhole solutions in $2+1$ Euclidean dimensions. A duality transformation is introduced to derive a new action from magnetic wormhole action of Gupta, Hughes, Preskill and Wise. The classical solution is presented. The vertex operators corresponding to the wormhole are derived. Conformally coupled scalars ...
1994-07-20
2009-10-28
[ "hep-th" ]
Harvendra Singh
hep-th/9407127
New Link Invariants and Yang-Baxter Equation
We have new solutions to the Yang-Baxter equation, from which we have constructed new link invariants containing more than two arbitrary parameters. This may be regarded as a generalization of the Jones' polynomial. We have also found another simpler invariant which discriminates only the linking structure of knots wit...
1994-07-20
2009-09-25
[ "hep-th", "math.QA" ]
Susumu Okubo
hep-th/9407122
Free Field Representation of Quantum Affine Algebra $U_q\widehat{sl_2}$ and Form Factors in Higher Spin XXZ Model
We consider the spin $k/2$ XXZ model in the antiferomagnetic regime using the free field realization of the quantum affine algebra $\uqa$ of level $k$. We give a free field realization of the type II $q$-vertex operator, which describes creation and annihilation of physical particles in the model. By taking a trace of ...
1994-07-20
2009-10-28
[ "hep-th", "math.QA", "nlin.SI", "solv-int" ]
Hitoshi Konno
hep-th/9407124
Noncommutative symmetric functions
This paper presents a noncommutative theory of symmetric functions, based on the notion of quasi-determinant. We begin with a formal theory, corresponding to the case of symmetric functions in an infinite number of independent variables. This allows us to endow the resulting algebra with a Hopf structure, which leads t...
1994-07-20
2008-02-03
[ "hep-th", "math.QA" ]
Israel Gelfand, D. Krob, Alain Lascoux, B. Leclerc, V. S. Retakh, J.-Y. Thibon
hep-th/9407126
On the composite fermion approach in the FQHE
FQHE is presented in the form of non-unitary singular similarity transformation, which relates the Laughlin wave function (and its particle-hole conjugate) to the composite quasi- particle incompressible ground state. (ENSLAPP-A-478/94)
1994-07-20
2007-05-23
[ "hep-th" ]
M.Eliashvili
hep-th/9407119
A 2D Inspired 4D Theory of Gravity
Coadjoint orbits of the Virasoro and Kac-Moody algebras provide geometric actions for matter coupled to gravity and gauge fields in two dimensions. However, the Gauss' law constraints that arise from these actions are not necessarily endemic to two-dimensional topologies. Indeed the constraints associated with Yang-Mil...
1994-07-20
2009-10-28
[ "hep-th" ]
V.G.J. Rodgers
hep-th/9407123
Two Dimensional Quantum Chromodynamics as the Limit of Higher Dimensional Theories
We define pure gauge $QCD$ on an infinite strip of width $L$. Techniques similar to those used in finite $TQCD$ allow us to relate $3D$-observables to pure $QCD_2$ behaviors. The non triviality of the $L \arrow 0$ limit is proven and the generalization to four dimensions described. The glueball spectrum of the theory i...
1994-07-20
2009-10-28
[ "hep-th", "hep-lat", "hep-ph" ]
A. Ferrando and A. Jaramillo
hep-th/9407120
Schwinger-Dyson Equations in 2D Induced Gravity in Covariant Gauges
We formulate the Schwinger-Dyson equations in the ladder approximation for 2D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these equations can be formulated consistently in a gauge of Landau type (for negative cosmological constant). A numerical analysis of the equatio...
1994-07-20
2009-09-25
[ "hep-th" ]
E. Elizalde, S.D. Odintsov and Yu.I. Shil'nov
hep-th/9407114
The String Theory Approach to Generalized 2D Yang-Mills Theory
We calculate the partition function of the $SU(N)$ ( and $U(N)$) generalized $YM_2$ theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for ordinary YM_2 theory. A diagrammatic expansion of the formula enables us to deri...
1994-07-19
2009-10-28
[ "hep-th" ]
O. Ganor, J. Sonnenschein and S. Yankielowicz
hep-th/9407121
A conformal scalar dyon black hole solution
An exact solution of Einstein - Maxwell - conformal scalar field equations is given, which is a black hole solution and has three parameters: scalar charge, electric charge, and magnetic charge. Switching off the magnetic charge parameter yields the solution given by Bekenstein. In addition the energy of the conformal ...
1994-07-19
2009-10-28
[ "hep-th" ]
K. S. Virbhadra and J. C. Parikh
hep-th/9407115
Residues in Non-Abelian Localization
In this paper we obtain an expression for the residue as it occurs in the non-Abelian localization formula due to Jeffrey and Kirwan. This expression can be used in cohomology computations for symplectic quotients.
1994-07-19
2007-05-23
[ "hep-th" ]
Jaap Kalkman
hep-th/9407113
Integrable theories that are asymptotically CFT
A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar situation of asymptotically free theories in which the fixed points are trivial...
1994-07-19
2009-10-28
[ "hep-th" ]
Jonathan M. Evans and Timothy J. Hollowood
hep-th/9407117
Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic chains and field theories that includes the finite size (and zero temperature) calculations for lattice BA models. In all cases, the free energy follows by quadratures from the solution of a {\bf single} non-linear integral equation (NLI...
1994-07-19
2019-08-15
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
C. Destri, H.J. de Vega
hep-th/9407116
Quantisation of a particle moving on a group manifold
The Hilbert space of a free massless particle moving on a group manifold is studied in details using canonical quantisation. While the simplest model is invariant under a global symmetry, $G \times G$, there is a very natural way to ``factorise" the theory so that only one copy of the global symmetry is preserved. In t...
1994-07-19
2015-06-26
[ "hep-th" ]
Meifang Chu and Peter Goddard
hep-th/9407105
A Renormalized Supersymmetry in the Topological Yang-Mills Field Theory
We reconsider the algebraic BRS renormalization of Witten's topological Yang-Mills field theory by making use of a vector supersymmetry Ward identity which improves the finiteness properties of the model. The vector supersymmetric structure is a common feature of several topological theories. The most general local cou...
1994-07-18
2009-10-28
[ "hep-th" ]
A. Brandhuber, O. Moritsch, M.W. de Oliveira, O. Piguet and M. Schweda
hep-th/9407111
S-Duality and the Spectrum of Magnetic Monopoles in Heterotic String Theory
We discuss the predictions of S-duality for the monopole spectrum of four-dimensional heterotic string theory resulting from toroidal compactification. We discuss in detail the spectrum of "H-monopoles", states that are magnetically charged with respect to the U(1) groups arising from the dimensional reduction of the t...
1994-07-18
2007-05-23
[ "hep-th" ]
J. P. Gauntlett and J. A. Harvey
hep-th/9407110
The quantum orthogonal mystery
This is (hopefully) a Latexable version of a talk given at the XXX Winter School in Theoretical Physics at Karpacz in February 1994. It discusses the use of non-commutative differential calculus to construct a Lie algebra of a quantum group. Usually the result has a different dimension from the classical Lie algebra. T...
1994-07-18
2008-02-03
[ "hep-th" ]
A.Sudbery