1 research outputs found
AGT/Z
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 defined on different Z quotients of the sphere (hemisphere and
projective space) but nevertheless interacting with each other. The
six-dimensional origin is a Z quotient of the setup giving rise to the
usual AGT correspondence. To test the correspondence, we work out the RP
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 RP 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.Comment: 56 pages. v2: Clarify discrete theta angle. v3: Published in JHEP;
extra references. v4: Minor sign fix; extra reference