D-branes, Black Holes and $SU(\infty)$ Gauge Theory
Abstract
We discuss an application of the known in QCD large expansion to strings and supermembranes in the strong coupling. In particular we use the recently obtained master field describing gauge theory to argue that quantum extreme black holes obey quantum Boltzmann (infinite) statistics. This supports a topological argument by Strominger that black holes obey infinite statistics. We also speculate on a formulation of -theory of strings and p-branes as theory of Grothendieck's motives. The partition function is expressed in terms of -function of a motive. The Beilinson conjectures on the values of -functions are interpreted as dealing with the cosmological constant problem.
Keywords
Cite
@article{arxiv.hep-th/9608137,
title = {D-branes, Black Holes and $SU(\infty)$ Gauge Theory},
author = {I. V. Volovich},
journal= {arXiv preprint arXiv:hep-th/9608137},
year = {2008}
}
Comments
4 pages, latex. Invited talk at the Second International Sakharov Conference on Physics, Moscow, May 1996