[seminar] Z.Kökényesi, 20.03. (srijeda) 15h (c.t.), seminar ZTF-a

[Oleg Antipin]

Large N behaviour of Macdonald-deformed 2D Yang-Mills theory


Zoltán Kökényesi
Wigner Research Centre for Physics,
Budapest, Hungary


Datum: Srijeda, 20.03 2019.
Vrijeme : 15 sati c.t.
Mjesto: IRB, predavaona I krila


Sažetak

A special class of four-dimensional BPS black hole partition function  
in IIA string theory are
computed by deformed two-dimensional U(N) Yang-Mills theory, and it is  
dual to topological
strings on a particular six-dimensional Calabi-Yau space. The  
Macdonald deformation of
Yang-Mills theory, which is a two-parameter deformation of the  
original theory, is dual to
refined topological strings, and counts BPS states with spins. We use  
the representation theory
of quantum groups and symmetric polynomials to study its planar limit  
and large N
expansion. The special limit of the expanded partition function, which  
corresponds to Jackpolynomials,
defines new class of parameterized Euler characters, which gives back the
original Euler characters of covering spaces in the unrefined limit.
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