ar X iv : h ep - t h / 97 10 04 4 v 1 6 O ct 1 99 7 Theta Sectors and Thermodynamics of a Classical Adjoint Gas

ar X iv : h ep - t h / 97 05 10 2 v 1 1 4 M ay 1 99 7 Loop Correlators and Theta States in 2 D Yang - Mills Theory

Explicit computations of the partition function and correlation functions of Wilson and Polyakov loop operators in theta-sectors of two dimensional Yang-Mills theory on the line cylinder and torus are presented. Several observations about the correspondence of two dimensional Yang-Mills theory with unitary matrix quantum mechanics are presented. The incorporation of the theta-angle which charac...

ar X iv : h ep - p h / 97 10 24 9 v 1 6 O ct 1 99 7 HADRONIC PHYSICS FROM THE LATTICE

ar X iv : h ep - t h / 97 09 16 8 v 2 1 1 O ct 1 99 7 Zero curvature representation for classical lattice sine - Gordon equation via quantum R - matrix

Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and cl...

ar X iv : h ep - t h / 97 10 01 6 v 4 2 9 O ct 1 99 7 K 3 Surfaces , Igusa Cusp Form and String Theory

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

ar X iv : h ep - t h / 94 10 04 5 v 1 8 O ct 1 99 4 Weyl Pair , Current Algebra and Shift

The Abelian current algebra on the lattice is given from a series of the independent Weyl pairs and the shift operator is constructed by this algebra. So the realization of the operators of the braid group is obtained. For |q| = 1 the shift operator is the product of the theta functions of the generators w n of the current algebra. For |q| = 1 it can be expressed by the quantum dilogarithm of w...