ELFT HÍRADÓ

[Balog Janos <balog.janos AT wigner.mta.hu>]

MTA Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


                       Kökényesi Zoltán
                        (Wigner RMI)


 " Chiral expansion and Macdonald deformation of two-dimensional 
Yang-Mills theory"


             címmel tartandó szemináriumára.

Kivonat:

A conjecture by Ooguri, Strominger and Vafa states that partition 
functions of four-dimensional BPS black holes in Type IIA string theory 
are given by A-model topological string amplitudes, which reduce on 
special geometries to q-deformed version of two-dimensional U(N) 
Yang-Mills theory.  We study a more general version of this duality 
which relates the refined topological string theory motivated by 
M-theory with
a two parameter deformed Yang-Mills theory.
We derive the large N expansion of the refinement of q-deformed U(N) 
Yang-Mills theory on closed Riemann surface. The derivation combines 
Schur-Weyl duality for quantum groups with the Etingof-Kirillov theory 
of generalized quantum characters which are related to symmetric 
polynomials with two parameters, called Macdonald polynomials. In the 
unrefined limit we reproduce the expansion of q-deformed Yang-Mills 
theory derived by de Haro, Ramgoolam and Torrielli. In the classical 
limit q=1, the expansion defines a new deformation of the theory of 
branched coverings of Riemann surfaces. We found that the refined 
partition function is a generating function for certain parameterized 
Euler characters, which gives back the original Euler characters of 
covering spaces in the unrefined limit. We discuss the geometrical 
meaning of our expansions in relation to quantum spectral curves and 
beta-ensembles of matrix models arising in refined topological string 
theory.




Helye: MTA Wigner FK RMI III.ép. Tanácsterem
Ideje: 2018 február 23  péntek du. 14:00 óra



Szívesen látunk minden érdeklődőt.

                                            Balog János