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arXiv · 0802.3015

Asymptotic counting of BPS operators in superconformal field theories

James Lucietti·Mukund Rangamani
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Abstract

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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James Lucietti, Mukund Rangamani. 2008-02-28. Asymptotic counting of BPS operators in superconformal field theories. https://doi.org/10.1063/1.2970775

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