/ 99 02 17 6 v 1 2 4 Fe b 19 99 Witten ’ s Cubic Vertex in the Comma Theory ( I )

/ 99 02 20 1 v 1 2 6 Fe b 19 99 On the structure of exact effective action for N = 1 supersymmetric theories

We discuss the ways of constructing the exact superpotential for N=1 supersymmetric theories and propose a new approach. As a consequence , a new structure of the superpotential is found.

ar X iv : m at h / 99 02 08 6 v 1 [ m at h . SP ] 1 4 Fe b 19 99 THE REDUCED WAVE EQUATION IN LAYERED MATERIALS

/ 99 02 44 5 v 1 2 3 Fe b 19 99 UK / 99 - 03 Leading soft gluon production in high energy nuclear collisions 1

The leading soft gluon pT distribution in heavy ion collisions was obtained by Kovner, McLerran, and Weigert after solving classical Yang-Mills equations. I show explicitly this result can be understood in terms of conventional QCD perturbation theory. I also demonstrate that the key logarithm in their result represents the logarithm in DGLAP evolution equations.

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

ar X iv : h ep - t h / 99 02 18 4 v 1 2 5 Fe b 19 99 QUANTUM COSMOLOGY FROM N = 4 SUPER YANG - MILLS THEORY

We consider quantum N = 4 super Yang-Mills theory interacting in a covariant way with N = 4 conformal supergravity. The induced large N effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via AdS/CFT correspondence. Considering such an effective action as a quantum correction to the classical gravity action we study quantum co...