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From SO/Sp instantons to W-algebra blocks

Christoph Keller (Caltech)

07.07.2011 at 16:00 

I will discuss instanton partition functions for N=2 superconformal Sp(1) and SO(4) gauge theories. They agree with the corresponding U(2) instanton partitions functions only after a non-trivial mapping of the microscopic gauge couplings, since the instanton counting involves different renormalization schemes. I then present an AGT-type correspondence between such Sp(1)/SO(4) instanton partition functions and chiral blocks with an underlying W(2,2)-algebra symmetry. I will also discuss how this relates to trifundamental hypermultiplets and Sicilian quiver theories. This is based on arXiv:1012.4468 with L.Hollands and J.Song.

Arnold Sommerfeld Center
Theresienstrasse 37
Room 348/349