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摘要
En 中文
We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries and cross-cap states to supersymmetric observables in four-dimensional N = 2 gauge theories. Our construction naturally involves four-dimensional theories with fields de fined on different Z(2) quotients of the sphere (hemisphere and projective space) but nevertheless interacting with each other. The six-dimensional origin is a Z(2) quotient of the setup giving rise to the usual AGT correspondence. To test the correspondence, we work out the RP4 partition function of four-dimensional N = 2 theories by combining a 3d lens space and a 4d hemisphere partition functions. The same technique reproduces known RP2 partition functions in a form that lets us easily check two-dimensional Seiberg-like dualities on this nonorientable space. As a bonus we work out boundary and cross-cap wavefunctions in Toda CFT.
Keyword:
Conformal and W Symmetry
Supersymmetric Gauge Theory
Supersymmetry and Duality
Duality in Gauge Field Theories
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IF:
5.5
论文数:
4.0W
被引数:
13.7W
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收藏Loop and surface operators in N=2 gauge theory and Liouville modular geometryN = 2规范理论和Liouville模块化几何中的循环和表面算子
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