BPS Partition Functions for S-folds

Abstract

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

28 pages; v2:minor corrections, a reference added, section 5 inserted; v3:S-fold action modified, minor corrections, a reference added, version accepted for publication for JHEP

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Cited by in corpus (9)

• Finite $N$ Corrections to the Superconformal Index of S-fold Theories
• Attractors, Bifurcations and Curvature in Multi-field Inflation
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Finite $N$ corrections to the superconformal index of orbifold quiver gauge theories
• Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories
• A note on 4d N = 3 from little string theory
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings