2014/11/27 by Satoshi Nakamura, Futoshi Okazawa, Yutaka Matsuo
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Algorithm #Black Holes and Theoretical Physics #Classical group #Combinatorics #Diagram #Lie group #Mathematics #Noncommutative and Quantum Gravity Theories #Partition (number theory) #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #Recursion (computer science) #Statistics #hep-th
paper · pdf · doi:10.1093/ptep/ptv014
21 pages;v2 comments and references added
arxiv created 2014/11/27 · openalex publication_date 2015/03/01 · arxiv updated 2015/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Nekrasov partition function for supersymmetric gauge theories with general Lie groups is, so far, not known in a closed form, while there is a definition in terms of the integral. In this paper, as an intermediate step to derive the closed form, we give a recursion formula among partition functions, which can be derived from the integral. We apply the method to a toy model that reflects the basic structure of partition functions for |\textit BCD|-type Lie groups and obtain a closed expression for the factor associated with the generalized Young diagram.