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hep-th1994★ 340 cited

Antibracket, Antifields and Gauge-Theory Quantization

Joaquim Gomis, Jordi Paris, Stuart Samuel

The antibracket formalism for gauge theories, at both the classical and quantum level, is reviewed. Gauge transformations and the associated gauge structure are analyzed in detail.…

math.QA1994

Spectral analysis and the Haar functional on the quantum SU(2) group

Erik Koelink, J. Verding

The Haar functional on the quantum group is the analogue of invariant integration on the group . If restricted to a subalgebra generated by a self-adjoint element th…

hep-th1994★ 3 cited

On the Lagrangian Realization of Non-Critical -Strings

Alex Deckmyn, Ruud Siebelink, Walter Troost +1

A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of…

cond-mat1994★ 12 cited

On Long-Range Order in Low-Dimensional Lattice-Gas Models of Nematic Liquid Crystals

N. Angelescu, S. Romano, V. A. Zagrebnov

The problem of the orientational ordering transition for lattice-gas models of liquid crystals is discussed in the low-dimensional case . For isotropic short-range interacti…

hep-th1994★ 5 cited

Regularisation, the BV method, and the antibracket cohomology

Walter Troost, Antoine Van Proeyen

We review the Lagrangian Batalin--Vilkovisky method for gauge theories. This includes gauge fixing, quantisation and regularisation. We emphasize the role of cohomology of the anti…

hep-th1994★ 4 cited

Quantising Higher-spin String Theories

H. Lu, C. N. Pope, K. Thielemans +2

In this paper, we examine the conditions under which a higher-spin string theory can be quantised. The quantisability is crucially dependent on the way in which the matter currents…

math.CA1994

On Jacobi and continuous Hahn polynomials

Erik Koelink

Jacobi polynomials are mapped onto the continuous Hahn polynomials by the Fourier transform and the orthogonality relations for the continuous Hahn polynomials then follow from the…

hep-th1994★ 28 cited

Discrete Differential Manifolds and Dynamics on Networks

A. Dimakis, F. M"uller-Hoissen, F. Vanderseypen

A `discrete differential manifold' we call a countable set together with an algebraic differential calculus on it. This structure has already been explored in previous work and pro…

math.QA1994

Askey-Wilson polynomials and the quantum SU(2) group: survey and applications

Erik Koelink

Generalised matrix elements of the irreducible representations of the quantum group are defined using certain orthonormal bases of the representation space. The generalised…

chao-dyn1994★ 49 cited

Coupled Analytic Maps

J. Bricmont, A. Kupiainen

We consider a lattice of weakly coupled expanding circle maps. We construct, via a cluster expansion of the Perron-Frobenius operator, an invariant measure for these infinite dimen…

cond-mat1994

An Ade-O Classification of Minimal Incompressible Quantum Hall Fluids

Jürg Fröhlich, Urban M. Studer, Emmanuel Thiran

We briefly review a theoretical picture of the quantum Hall effect in which gauge symmetry of non-relativistic quantum mechanics, the representation theory of U(1)-current algebra,…

hep-th1994★ 39 cited

Topological conformal field theory with a rational W potential and the dispersionless KP hierarchy

S. Aoyama, Y. Kodama

We present a new class of topological conformal field theories (TCFT) characterized by a rational potential, which includes the minimal models of A and D types as its subclasse…

math.CA1994

Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product

G. López, Francisco Marcellán, Walter Van Assche

We investigate the asymptotic properties of orthogonal polynomials for a class of inner products including the discrete Sobolev inner products $\langle h,g \rangle = \int hg\, dμ+…

solv-int1994★ 2 cited

Multi-Hamiltonian formulation for a class of degenerate completely integrable systems

Peter Bueken

Generalizing a construction of P. Vanhaecke, we introduce a large class of degenerate (i.e., associated to a degenerate Poisson bracket) completely integrable systems on (a dense s…

math.CA1994

Weak convergence of orthogonal polynomials

Walter Van Assche

The weak convergence of orthogonal polynomials is given under conditions on the asymptotic behaviour of the coefficients in the three-term recurrence relation. The results generali…

hep-th1994★ 17 cited

Anomalies and Wess-Zumino Terms in an Extended, Regularized Field-Antifield Formalism

Joaquim Gomis, Jordi París

Quantization of anomalous gauge theories with closed, irreducible gauge algebra within the extended Field-Antifield formalism is further pursued. Using a Pauli-Villars (PV) regular…