1996/08/20 by I. V. Volovich, Volovich, I. V.
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #alg-geom #hep-th #math.AG
paper · pdf · doi:10.48550/arxiv.hep-th/9608137
4 pages, latex. Invited talk at the Second International Sakharov Conference on Physics, Moscow, May 1996
arxiv created 1996/08/20 · arxiv updated 2009/11/30
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(∞) 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.