A 5d/2d/4d correspondence

作者：Haghighat Babak^*; Manschot Jan; Vandoren Stefan

来源：The Journal of High Energy Physics, 2013, 2013(3): 157.

DOI：10.1007/JHEP03(2013)157

• Supersymmetric gauge theory
• Solitons Monopoles and Instantons
• Conformal Field Models in String Theory
• Sigma Models

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.

• 出版日期2013-3