The weak coupling spectrum around isolated vacua in 𝒩 = 4 super Yang-Mills onT3with any gauge group

2008/04/30 by Josef Lindman Hörnlund, Fredrik Ohlsson · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/07/077

published as JHEP 0807:077,2008 · 32 pages, 11 figures, v4 Added chapter, Published version

openalex publication_date 2008/07/17 · arxiv created 2009/12/10 · arxiv updated 2010/01/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The moduli space of flat connections for maximally supersymmetric Yang-Mills theories, in a space-time of the form T³xR, contains isolated points, corresponding to normalizable zero energy states, for certain simple gauge groups G. We consider the low energy effective field theories in the weak coupling limit supported on such isolated points and find that when quantized they consist of an infinite set of harmonic oscillators whose angular frequencies are completely determined by the Lie algebra of G. We then proceed to find the isolated flat connections for all simple G and subsequently specify the corresponding effective field theories.

Citations

• Baryons And Branes In Anti de Sitter Space
• Almost commuting elements in compact Lie groups

Cited by

• BPS partition functions in N = 4 Yang-Mills theory on T 4

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