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

dc.creatorVolovich, I. V.
dc.date1996-08-20
dc.date.accessioned2026-07-07T09:14:34Z
dc.date.available2026-07-07T09:14:34Z
dc.descriptionWe 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.
dc.description4 pages, latex. Invited talk at the Second International Sakharov Conference on Physics, Moscow, May 1996
dc.identifierhttps://arxiv.org/abs/hep-th/9608137
dc.identifierhttp://arxiv.org/abs/hep-th/9608137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152716
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleD-branes, Black Holes and $SU(\infty)$ Gauge Theory
dc.typetext

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