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• W1517039296 abstract "We compute the 4d superconformal index for $mathcal{N}=1$, 2 gauge theories on ${S}^{1}ifmmodetimeselsetexttimesfi{}L(p,1)$, where $L(p,1)$ is a lens space. We find that the 4d $mathcal{N}=1$, 2 index on ${S}^{1}ifmmodetimeselsetexttimesfi{}L(p,1)$ reduces to a 3d $mathcal{N}=2$, 4 index on ${S}^{1}ifmmodetimeselsetexttimesfi{}{S}^{2}$ in the large $p$ limit, and to a 3d partition function on a squashed $L(p,1)$ when the size of the temporal ${S}^{1}$ shrinks to zero. As an application of our index, we study 4d $mathcal{N}=2$ superconformal field theories arising from the 6d $mathcal{N}=(2,0)$ ${A}_{1}$ theory on a punctured Riemann surface $ensuremath{Sigma}$, and conjecture the existence of a 2d topological quantum field theory on $ensuremath{Sigma}$ whose correlation function coincides with the 4d $mathcal{N}=2$ index on ${S}^{1}ifmmodetimeselsetexttimesfi{}L(p,1)$." @default.
• W1517039296 created "2016-06-24" @default.
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• W1517039296 date "2012-09-10" @default.
• W1517039296 modified "2023-09-24" @default.
• W1517039296 title "4d index to 3d index and 2d topological quantum field theory" @default.
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• W1517039296 doi "https://doi.org/10.1103/physrevd.86.065015" @default.
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