ar X iv : h ep - t h / 99 02 15 1 v 1 2 2 Fe b 19 99 Form Factors in Off – Critical Superconformal Models

ar X iv : h ep - t h / 99 02 19 8 v 2 2 4 O ct 1 99 9 Heisenberg and Modular Invariance of N = 2 Conformal Field Theory

We present a theta function representation of the twisted characters for the rational N=2 superconformal field theory, and discuss the Jacobi-form like functional properties of these characters for a fixed central charge under the action of a finite Heisenberg group and modular transformations.

ar X iv : h ep - t h / 99 02 13 1 v 1 1 8 Fe b 19 99 NBI - HE - 99 - 05 Introduction to the Maldacena Conjecture on AdS / CFT

These lectures do not at all provide a general review of this rapidly growing field. Instead a rather detailed account is presented of a number of the most elementary aspects.

ar X iv : h ep - t h / 99 03 19 4 v 1 2 2 M ar 1 99 9 The Wess - Zumino Model and the AdS 4 / CFT 3 Correspondence

We consider the non-interacting massive Wess-Zumino model in four-dimensional anti-de Sitter space and show that the conformal dimensions of the corresponding boundary fields do not always satisfy the relation expected from superconformal invariance.

ar X iv : h ep - t h / 99 06 09 6 v 1 1 4 Ju n 19 99 Classification of Two Dimensional N = 4 Superconformal Symmetries

Classification of N = 4 superconformal symmetries in two dimensions is reexamined. It is proposed that apart from SU(2) and SU(2)×SU(2)×U(1) their Kac-Moody symmetry can also be SU(2) × (U(1)) 4. These supercon-formal symmetries and corresponding algebras are named small, large and middle ones respectively. Operator product expansions for the middle algebra are derived. Complete free field real...

ar X iv : a st ro - p h / 99 02 23 4 v 2 1 7 Fe b 19 99 OB ASSOCIATIONS