Random partitions and instanton counting

Abstract

In this expository paper we summarize the connection between random partitions and 4-dimensional supersymmetric gauge theories discovered in hep-th/0306238. There is also a brief section about how this extends to 3-dimensional partitions which is best read together with math-ph/0412008.

24 pages, 9 figures

References in corpus (7)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• A variational principle for domino tilings
• Random matrices and determinantal processes
• Instanton counting on blowup. II. $K$-theoretic partition function
• The uses of random partitions
• Random surfaces enumerating algebraic curves
• Planar dimers and Harnack curves

Cited by in corpus (5)

• The Nekrasov Conjecture for Toric Surfaces
• Vertex Operators and Moduli Spaces of Sheaves
• Pure N=2 Super Yang-Mills and Exact WKB
• Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces
• Vertex Operators, Grassmannians, and Hilbert Schemes