A 5d/2d/4d correspondence
arXiv:1211.0513 · doi:10.1007/JHEP03(2013)157
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.
39 pages, final version
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- From strings in 6d to strings in 5d
- Elliptic genera and real Jacobi forms
- Fibre-base duality of 5d KK theories