Hecke operator andS-duality of Script N = 4 super Yang-Mills for ADE gauge group onK3

2003/03/31 by Toru Sasaki
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Gauge (firearms) #Gauge group #Gauge theory #Hecke operator #Particle physics theoretical and experimental studies #Partition (number theory) #Partition function (quantum field theory) #Quantum Chromodynamics and Particle Interactions #Supersymmetric gauge theory #hep-th #math.AG

paper · pdf · doi:10.1088/1126-6708/2003/07/024

published as JHEP 0307 (2003) 024 · 19 pages, typo corrections, references added

openalex publication_date 2003/07/10 · arxiv created 2003/07/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We determine the partition functions of \cal N=4 super Yang-Mills gauge theory for some ADE gauge groups on K3, under the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the same time, like the SU(N) partition functions of Vafa and Witten. As a result we find a close relation between Hecke operator and S-duality of \cal N=4 super Yang-Mills for ADE gauge group on K3.

Citations

• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Mathai-Quillen formulation of twisted N = 4 supersymmetric gauge theories in four dimensions
• Gauge theories and magnetic charge
• Magnetic monopoles as gauge particles?
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• N=4 SUPERSYMMETRIC YANG–MILLS THEORY ON ORBIFOLD-T4/Z2