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

Abstract

We study the N=1* supersymmetric gauge theories with gauge groups Sp(2n) and SO(2n+1). These theories are obtained from the corresponding N=4 supersymmetric Yang-Mills theories via a mass deformation. We show that the number of quantum vacua in the Sp(2n) theory is equal to the number of quantum vacua in the SO(2n+1) theory. This constitutes non-trivial support for S-duality between these theories. The verification of the equality of the number of quantum vacua involves a rather esoteric identity due to Ramanujan.

9 pages. v2:clarifying footnote added

References in corpus (1)

• On S-duality for Non-Simply-Laced Gauge Groups

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