ar X iv : h ep - t h / 93 05 07 9 v 1 1 8 M ay 1 99 3 On Connection between Topological Landau - Ginzburg Gravity and Integrable Systems

ar X iv : h ep - t h / 98 03 05 9 v 1 6 M ar 1 99 8 A NEW CLASS OF INTEGRABLE MODELS OF 1 + 1 DIMENSIONAL DILATON GRAVITY COUPLED TO SCALAR MATTER

Integrable models of 1 + 1 dimensional gravity coupled to scalar and vector fields are briefly reviewed. A new class of integrable models with nonminimal coupling to scalar fields is constructed and discussed.

ar X iv : h ep - p h / 98 05 37 5 v 1 1 9 M ay 1 99 8 Production of bound μ + μ − - systems in relativistic heavy ion collisions

ar X iv : h ep - t h / 99 05 22 4 v 1 3 1 M ay 1 99 9 Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories ∗

We review new aspects of integrable systems discovered recently in N = 2 supersymmetric gauge theories and their topologically twisted versions. The main topics are (i) an explicit construction of Whitham deformations of the Seiberg-Witten curves for classical gauge groups, (ii) its application to contact terms in the u-plane integral of topologically twisted theories, and (iii) a connection be...

ar X iv : h ep - t h / 96 05 21 9 v 1 3 0 M ay 1 99 6 Reflection Matrices for Integrable N = 1 Supersymmetric Theories

We study two-dimensional integrable N = 1 supersymmetric theories (without topological charges) in the presence of a boundary. We find a universal ratio between the reflection amplitudes for particles that are related by super-symmetry and we propose exact reflection matrices for the supersymmetric extensions of the multi-component Yang-Lee models and for the breather multiplets of the supersym...

ar X iv : h ep - t h / 03 05 13 6 v 2 3 1 M ay 2 00 3 TOPOLOGICAL CORRELATORS IN LANDAU - GINZBURG MODELS WITH BOUNDARIES

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa’s for...