Friday, February 1, 2013

1301.7486 (Luis F. Alday et al.)

On S-duality of the Superconformal Index on Lens Spaces and 2d TQFT    [PDF]

Luis F. Alday, Mathew Bullimore, Martin Fluder
We 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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