2008/02/28 by James Lucietti, Mukund Rangamani · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Quantum Chromodynamics and Particle Interactions #cond-mat.stat-mech #hep-th #math-ph #math.CA #math.MP
paper · pdf · doi:10.1063/1.2970775
published as J.Math.Phys.49:082301,2008 · 39 pages latex. v2: minor improvements, reference added
arxiv created 2008/02/28 · openalex publication_date 2008/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider some aspects of counting BPS operators which are annihilated by two supercharges in superconformal field theories. For nonzero coupling, the corresponding multivariable partition functions can be written in terms of generating functions for vector partitions or their weighted generalizations. We derive asymptotics for the density of states for a wide class of such multivariable partition functions. We also point out a particular factorization 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.