MS Seminar (Mathematics - String Theory)

Speaker: Jaewon Song (Caltech)
Title: ABCD of 4d/2d correspondence
Date: Tue, Aug 30, 2011, 13:15 - 14:45
Place: Seminar Room A
Related File: 479.pdf
Abstract: We study 4d/2d AGT correspondence for the classical Lie groups and Sicilian quivers of low rank. We find the different realizations of the same gauge theory give the same instanton partition function only after a non-trivial mapping of the UV gauge couplings. The map can be understood as a cover/base map of the corresponding Gaiotto curves. The 2d side of the correspondence involves twisted representation of the W-algebra, which enables us to obtain the partition function for the non-simply laced gauge groups. We also study A_1 Sicilian quiver theories coming from the Gaiotto curve of arbitrary genus with punctures. We propose the conformal block corresponding to such theories and test the correspondence using Sp(1)-SO(4) instanton counting.