# S-duality in Vafa-Witten theory for non-simply laced gauge groups

@article{Wu2008SdualityIV, title={S-duality in Vafa-Witten theory for non-simply laced gauge groups}, author={Siye Wu}, journal={Journal of High Energy Physics}, year={2008}, volume={2008}, pages={009-009} }

Vafa-Witten theory is a twisted N = 4 supersymmetric gauge theory whose partition functions are the generating functions of the Euler number of instanton moduli spaces. In this paper, we recall quantum gauge theory with discrete electric and magnetic fluxes and review the main results of Vafa-Witten theory when the gauge group is simply laced. Based on the transformations of theta functions and their appearance in the blow-up formulae, we propose explicit transformations of the partition…

## 7 Citations

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In this note, I describe the space of vacua $\mathcal{V}$ of four dimensional $\mathcal{N}=4$ SYM on $\mathbb{R}^4$ with gauge group a compact simple Lie Group $G$ as a stratified space. On each…

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