On S-duality of the Superconformal Index on Lens Spaces and 2d TQFT [PDF]
Luis F. Alday, Mathew Bullimore, Martin FluderWe consider the 4d superconformal index for ${\cal N}=2$ gauge theories on $S^1 \times L(r,1)$, where $L(r,1)$ is a Lens space. We focus on a one-parameter slice of the three-dimensional fugacity space and in that sector we show S-duality. We do so by rewriting the index in a way that resembles a correlation function of a 2d TFT, which however, we do not identify.View original: http://arxiv.org/abs/1301.7486
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