0 O ct 1 99 8 Computation of the conformal algebra of 1 + 3 decomposable space - times

m at h . Q A ] 1 8 M ar 1 99 9 Decomposition of the vertex operator algebra V √ 2 A 3

A conformal vector with central charge c in a vertex operator algebra is an element of weight two whose component operators satisfy the Virasoro algebra relation with central charge c. Then the vertex operator subalgebra generated by the vector is isomorphic to a highest weight module for the Virasoro algebra with central charge c and highest weight 0 (cf. [M]). Let V2Al be the vertex operator ...

v 1 1 5 O ct 1 99 8 Aspects of the Supersymmetry Algebra in Four Dimensional Euclidean Space

0 O ct 1 99 9 Methods of Equivariant Quantization

This article is a survey of recent work [15, 6, 7, 13] developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples are provided by conformal and projective differential geometry: given a smooth manifold M endowed with a flat conformal/projective structure, we establish a canonical isomorphism between the space of symmetric contravar...

O ct 1 99 6 IFP / 102 / UNC GAUGE SYMMETRY IN BACKGROUND CHARGE CONFORMAL FIELD THEORY

We present a mechanism to construct four-dimensional charged massless Ramond states using the discrete states of a fivebrane Liouville internal conformal field theory. This conformal field theory has background charge, and admits an inner product which allows positive norm states. A connection among supergravity soliton solutions, Liouville conformal field theory, non-critical string theory and...

06 1 v 1 1 0 N ov 1 99 3 HU - SEFT R 1993 - 15 Quantum Poincaré Subgroup of q - Conformal Group and q - Minkowski Geometry

We construct quantum deformation of Poincaré group using as a starting point SU(2, 2) conformal group and twistor-like definition of the Minkowski space. We obtain quantum deformation of SU(2, 2) as a real form of multi-parametric GL(4, C) q ij ,r. It is shown that Poincaré subgroup exists for special nonstandard one-parametric deformation only, the deformation parameter r being equal to unity....