ar X iv : h ep - t h / 99 02 14 2 v 1 1 9 Fe b 19 99 Deformations of the root systems and new solutions to generalised WDVV equations

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 02 14 6 v 1 2 2 Fe b 19 99 TOPOLOGICAL ASPECTS IN U ( 1 ) GAUGE THEORY

We discuss the topological properties of a two-dimensional free Abelian gauge theory in the framework of BRST cohomology. We derive the conserved and nilpotent BRST and co-BRST charges and express the Hodge decomposition theorem in terms of these charges and the Laplacian operator. It is because of the topological nature of the free U(1) gauge theory that the Laplacian operator goes to zero whe...

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

We discuss the determination of the lowest Form Factors relative to the trace operators of N = 1 Super Sinh-Gordon Model. Analytic continuations of these Form Factors as functions of the coupling constant allows us to study a series of models in a uniform way, among these the latest model of the Roaming Series and a class of minimal supersymmetric models.

ar X iv : h ep - t h / 99 06 02 9 v 1 3 J un 1 99 9

ar X iv : h ep - t h / 02 01 26 7 v 1 3 1 Ja n 20 02 FIAN / TD - 02 / 02 ITEP / TH - 04 / 02 On Associativity Equations 1

We consider the associativity or Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations and discuss one of the most relevant for non-perturbative physics class of their solutions based on existence of the residue formulas. It is demonstrated for this case that the proof of associativity equations is reduced to the problem of solving system of algebraic linear equations. The particular examples of ...