A note on S-duality for the Script N = 1* Sp(2n) and SO(2n+1) super-Yang-Mills theories | Zendy

Niclas Wyllard | Zendy

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A note on S-duality for the Script N = 1* Sp(2n) and SO(2n+1) super-Yang-Mills theories

Author(s) -

Niclas Wyllard

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/06/077

Subject(s) - duality (order theory) , s duality , m theory , gauge theory , ramanujan's sum , yang–mills theory , seiberg duality , quantum , mathematical physics , physics , gauge group , supersymmetric gauge theory , theoretical physics , supersymmetry , mathematics , quantum gravity , quantum mechanics , pure mathematics , gauge anomaly , supergravity , relationship between string theory and quantum field theory

We study the N=1* supersymmetric gauge theories with gauge groups Sp(2n) andSO(2n+1). These theories are obtained from the corresponding N=4 supersymmetricYang-Mills theories via a mass deformation. We show that the number of quantumvacua in the Sp(2n) theory is equal to the number of quantum vacua in theSO(2n+1) theory. This constitutes non-trivial support for S-duality betweenthese theories. The verification of the equality of the number of quantum vacuainvolves a rather esoteric identity due to Ramanujan.Comment: 9 pages. v2:clarifying footnote adde

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