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hep-th1993★ 57 cited

On Bosonic and Supersymmetric Current Algebras for Non-Semi-Simple Groups

N. Mohammedi

We present a systematic approach to constructing current algebras based on non-semi-simple groups. The Virasoro central charges corresponding to these current algebras are not, in…

hep-ph1993★ 4 cited

Quark Structure and Weak Decays of Heavy Mesons

Stefan Resag, Michael Beyer

We investigate the quark structure of D and B mesons in the framework of a constituent quark model. To this end, we assume a scalar confining and a one gluon exchange (OGE) potenti…

hep-th1993★ 26 cited

A Class of W-Algebras with Infinitely Generated Classical Limit

J. de Boer, L. Feher, A. Honecker

There is a relatively well understood class of deformable W-algebras, resulting from Drinfeld-Sokolov (DS) type reductions of Kac-Moody algebras, which are Poisson bracket algebras…

hep-th1993★ 5 cited

More Curiosities at Effective c = 1

Michael A. I. Flohr

The moduli space of all rational conformal quantum field theories with effective central charge c_eff = 1 is considered. Whereas the space of unitary theories essentially forms a m…

hep-th1993★ 5 cited

Derivative and higher order extensions of Davey-Stewartson equation from matrix KP hierarchy

Anjan Kundu, Walter Strampp

It is shown that the matrix KP hierarchy can yield new integrable equations in -dimensions along with the corresponding Lax pair. For particular gauge choice this may result…

hep-th1993★ 26 cited

The (N,M)-th KdV hierarchy and the associated W algebra

L. Bonora, C. S. Xiong

We discuss a differential integrable hierarchy, which we call the (N, M)M$ pseudo--differential terms to the…

hep-th1993

Gauss Decomposition, Wakimoto Realisation and Gauged WZNW Models

H. Arfaei, Noureddine Mohammedi

The implications of gauging the Wess-Zumino-Novikov-Witten (WZNW) model using the Gauss decomposition of the group elements are explored. We show that, contrary to standard gauging…

cond-mat1993★ 57 cited

SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model

Fabian H. L. Essler, Vladimir E. Korepin

We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fun…

cond-mat1993★ 5 cited

A Generalized Duality Transformation of the Anisotropic Xy Chain in a Magnetic Field

Haye Hinrichsen

We consider the anisotropic chain in a magnetic field with special boundary conditions described by a two-parameter Hamiltonian. It is shown that the exchange of the parameter…

hep-th1993★ 16 cited

On the Two-Point Correlation Function for the Invariant Spin One-Half Heisenberg Chain at Roots of Unity

H. Hinrichsen, P. P. Martin, V. Rittenberg +1

Using tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground-state give the two-point correlation functions. The TPSOs are iden…

hep-th1993★ 99 cited

Off-Shell Bethe Ansatz Equation for Gaudin Magnets and Solutions of Knizhnik-Zamolodchikov Equations

H. M. Babujian, R. Flume

We generalize the previously established connection between the off-shell Bethe ansatz equation for inhomogeneous SU(2) lattice vertex models in the quasiclassical limit and the so…

hep-th1993★ 27 cited

Infinite Symmetry in the Fractional Quantum Hall Effect

Michael Flohr, Raimund Varnhagen

We have generalized recent results of Cappelli, Trugenberger and Zemba on the integer quantum Hall effect constructing explicitly a for the fractional quantum…

hep-th1993★ 24 cited

Additional Symmetries of Supersymmetric KP Hierarchies

Sonia Stanciu

We investigate the additional symmetries of several supersymmetric KP hierarchies: the SKP hierarchy of Manin and Radul, the hierarchy, and the Jacobian SKP hierarch…

cond-mat1993★ 60 cited

Scattering Matrix and Excitation Spectrum of the Hubbard Model

Fabian H. L. Essler, Vladimir E. Korepin

We consider the one-dimensional Hubbard model at half filling. We show that both excitation spectrum and S-matrix are determined by the SO(4) symmetry of the model. The complete se…

hep-th1993★ 12 cited

The vacuum preserving Lie algebra of a classical W-algebra

L. Feher, L. O'Raifeartaigh, I. Tsutsui

We simplify and generalize an argument due to Bowcock and Watts showing that one can associate a finite Lie algebra (the `classical vacuum preserving algebra') containing the Möbiu…

nucl-th1993★ 63 cited

A Bethe-Salpeter model for light mesons: spectra and decays

C. R. Münz, J. Resag, B. C. Metsch +1

The spectra and electroweak decay properties of light mesons are analyzed within the framework of the instantaneous Bethe-Salpeter equation. The interaction kernel comprises altern…

nucl-th1993★ 51 cited

Analysis of the instantaneous Bethe-Salpeter equation for \(q\bar{q}\)-bound-states

J. Resag, C. R. Münz, B. C. Metsch +1

We investigate the structure of the instantaneous Bethe-Salpeter equation for \(q\bar{q}\)-bound states in the general case of unequal quark masses and develop a numerical scheme f…

hep-th1993★ 111 cited

Off-Shell Bethe Ansatz Equation and N-point Correlators in the SU(2) WZNW Theory

H. M. Baboujian

We prove that the wave vectors of the off-shell Bethe Ansatz equation for the inhomogeneous SU(2) lattice vertex model render in the quasiclassical limit the solution of the Knizhn…

hep-th1993★ 12 cited

Dilogarithm identities, fusion rules and structure constants of CFTs

Michael Terhoeven

Recently dilogarithm identities have made their appearance in the physics literature. These identities seem to allow to calculate structure constants like, in particular, the effec…

hep-th1993★ 16 cited

Fusion Algebras of Fermionic Rational Conformal Field Theories via a Generalized Verlinde Formula

Wolfgang Eholzer, Ralf Hübel

We prove a generalization of the Verlinde formula to fermionic rational conformal field theories. The fusion coefficients of the fermionic theory are equal to sums of fusion coeffi…

hep-th1993★ 11 cited

Finite Chains with Quantum Affine Symmetries

F. C. Alcaraz, D. Arnaudon, V. Rittenberg +1

We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional ope…

hep-th1993★ 21 cited

The matreoshka of supersymmetric self-dual theories

Ch. Devchand, V. Ogievetsky

Extended super self-dual systems have a structure reminiscent of a ``matreoshka''. For instance, solutions for N=0 are embedded in solutions for N=1, which are in turn embedded in…

hep-th1993★ 60 cited

Reaction-Diffusion Processes as Physical Realizations of Hecke Algebras

F. C. Alcaraz, V. Rittenberg

We show that the master equation governing the dynamics of simple diffusion and certain chemical reaction processes in one dimension give time evolution operators (Hamiltonians) wh…

hep-th1993★ 4 cited

Solving the Ward Identities of Irrational Conformal Field Theory

M. B. Halpern, N. A. Obers

The affine-Virasoro Ward identities are a system of non-linear differential equations which describe the correlators of all affine-Virasoro constructions, including rational and ir…