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arXiv · 1211.0513

A 5d/2d/4d correspondence

Babak Haghighat·Jan Manschot·Stefan Vandoren
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Abstract

We propose a correspondence between two-dimensional (0,4) sigma models with target space the moduli spaces of r monopoles, and four-dimensional N=4, U(r) Yang-Mills theory on del Pezzo surfaces. In particular, the two- and four-dimensional BPS partition functions are argued to be equal. The correspondence relies on insights from five-dimensional supersymmetric gauge theory and its geometric engineering in M-theory, hence the name "5d/2d/4d correspondence". We provide various tests of our proposal. The most stringent ones are for r=1, for which we prove the equality of partition functions.

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Babak Haghighat, Jan Manschot, Stefan Vandoren. 2013-04-26. A 5d/2d/4d correspondence. https://doi.org/10.1007/jhep03(2013)157

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