Institute of Mathematics for Industry

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Instanton counting and the Whittaker vector of W-algebras.


Hold Date 2011-11-04 16:00~2011-11-04 17:30

Place Seminar Room 2, Faculty of Mathematics building, Ito Campus

Object person researchers and graduate students 

Speaker Hiroaki KANNO (Nagoya University)

summary:The moduli space of  SU(N) instantons in the presence
of a surface operator can be described by the representations of
the so-called chain-saw quiver. Consequently one can write down
the instanton partition function as a summation over the fixed point
contributions labeled by Young diagrams. We argue that the instanton
partition function agrees with the inner product of a coherent state
(Whittaker vector) in the Verma module.