Asymptotic counting of BPS operators in superconformal field theories

Details Asymptotic counting of BPS operators in superconformal field theories Asymptotic counting of BPS operators in superconformal field theories

2008-02-21

arxiv.org/abs/0802.3015v2

J.Math.Phys.49:082301,2008

Physics

High Energy Physics

High Energy Physics - Theory

39 pages latex. v2: minor improvements, reference added

Scientific paper

10.1063/1.2970775

We 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.

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