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arXiv · 1901.00023

BPS Partition Functions for S-folds

Reona Arai·Shota Fujiwara·Yosuke Imamura
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Abstract

We derive a formula for the BPS partition functions of arbitrary S-fold theories. We first generalize the known result for the ${\cal N}=4$ $U(N)$ supersymmetric Yang-Mills theory to $SO$ and $Sp$ theories, and then we extend the formula to ${\cal N}=3$ theories. We confirm that the results for rank $1$ and $2$ are consistent to the supersymmetry enhancement from ${\cal N}=3$ to ${\cal N}=4$. We also derive the same formula from the quantization of D3-branes in $\boldsymbol{S}^5/\mathbb{Z}_k$.

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Reona Arai, Shota Fujiwara, Yosuke Imamura. 2019-03-25. BPS Partition Functions for S-folds. https://doi.org/10.1007/jhep03(2019)172

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