/ 96 06 10 1 v 1 1 7 Ju n 19 96 The dispersive self - dual Einstein equations and the Toda Lattice

The dispersive self-dual Einstein equations and the Toda Lattice

The Boyer-Finley equation, or SU(∞)-Toda equation is both a reduction of the self-dual Einstein equations and the dispersionless limit of the 2d-Toda lattice equation. This suggests that there should be a dispersive version of the self-dual Einstein equation which both contains the Toda lattice equation and whose dispersionless limit is the familiar self-dual Einstein equation. Such a system is...

ar X iv : h ep - t h / 96 06 10 4 v 1 1 7 Ju n 19 96 Non - Abelian Stokes Theorem and Quark - Monopole Interaction

We derive a new non-abelian Stokes theorem by rewriting the Wilson loop as a gauge-invariant area integral, at the price of integrating over an auxiliary field from the coset SU(N)/[(U(1)]N−1 space. We then introduce the relativistic quark-monopole interaction as a Wess–Zumino-type action, and extend it to the non-abelian case. We show that condensation of monopoles and confinement can be inves...

ar X iv : h ep - t h / 96 06 18 6 v 1 2 7 Ju n 19 96 An Heterotic SUSY Version of one Non – Stable Integrability

By using Heterotic SUSY path integral, one version and generali zation of an integrability theorem due to Mayer is obtained.

/ 96 06 19 5 v 1 2 8 Ju n 19 96 Stochastic loop equations

Stochastic quantization is applied to derivation of the equations for the Wilson loops and generating functionals of the Wilson loops in the large-N limit. These equations are treated both in the coordinate and momentum representations. In the first case the connection of the suggested approach with the problem of random closed contours and supersymmetric quantum mechanics is established, and t...

ar X iv : a st ro - p h / 96 06 17 9 v 1 2 9 Ju n 19 96 LECTURE 1 Coalescence of Binary Neutron Stars