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

Niclas Wyllard
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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.

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Niclas Wyllard. 2007-06-24. A note on S-duality for the N=1* Sp(2n) and SO(2n+1) super-Yang-Mills theories. https://doi.org/10.1088/1126-6708%2F2007%2F06%2F077

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