D-branes, Black Holes and $SU(\infty)$ Gauge Theory

Details D-branes, Black Holes and $SU(\infty)$ Gauge Theory D-branes, Black Holes and $SU(\infty)$ Gauge Theory

1996-08-20

arxiv.org/abs/hep-th/9608137v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, latex. Invited talk at the Second International Sakharov Conference on Physics, Moscow, May 1996

Scientific paper

We discuss an application of the known in QCD large $N$ expansion to strings and supermembranes in the strong coupling. In particular we use the recently obtained master field describing $ SU(\infty)$ 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 $X$-theory of strings and p-branes as theory of Grothendieck's motives. The partition function is expressed in terms of $L$-function of a motive. The Beilinson conjectures on the values of $L$-functions are interpreted as dealing with the cosmological constant problem.

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