Script N = 4 SYM matrix integrals for almost all simple gauge groups (exceptE7andE8)

2002/06/30 by Vasily Pestun · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/09/012

published as JHEP 0209 (2002) 012 · Latex2e, 21pp; v2: minor corrections, references added

arxiv created 2002/07/10 · openalex publication_date 2002/09/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

In this paper the partition function of N=4 D=0 super Yang-Mills matrix theory with arbitrary simple gauge group is discussed. We explicitly computed its value for all classical groups of rank up to 11 and for the exceptional groups G₂, F₄ and E₆. In the case of classical groups of arbitrary rank we conjecture general formulas for the B_r, C_r and D_r series in addition to the known result for the A_r series. Also, the relevant boundary term contributing to the Witten index of the corresponding supersymmetric quantum mechanics has been explicitly computed as a simple function of rank for the orthogonal and symplectic groups SO(2N+1), Sp(2N), SO(2N).

Citations

• TASI Lectures on D-Branes
• Yang–Mills integrals for orthogonal, symplectic and exceptional groups
• Mtheory as a matrix model: A conjecture
• Two Dimensional Gauge Theories Revisited

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