Asymptotic counting of BPS operators in superconformal field theories

dc.creatorLucietti, James
dc.creatorRangamani, Mukund
dc.date2008-02-21
dc.date2008-02-28
dc.date.accessioned2026-07-07T11:56:14Z
dc.date.available2026-07-07T11:56:14Z
dc.descriptionWe consider some aspects of counting BPS operators which are annihilated by two supercharges, in superconformal field theories. For non-zero coupling, the corresponding multi-variable partition functions can be written in terms of generating functions for vector partitions or their weighted generalisations. We derive asymptotics for the density of states for a wide class of such multi-variable partition functions. We also point out a particular factorisation property of the finite N partition functions. Finally, we discuss the concept of a limit curve arising from the large N partition functions, which is related to the notion of a typical state and discuss some implications for the holographic duals.
dc.description39 pages latex. v2: minor improvements, reference added
dc.identifierhttps://arxiv.org/abs/0802.3015
dc.identifierhttp://arxiv.org/abs/0802.3015
dc.identifierJ.Math.Phys.49:082301,2008
dc.identifierdoi:10.1063/1.2970775
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205513
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleAsymptotic counting of BPS operators in superconformal field theories
dc.typetext

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