
Feb 18 2014
WITS Node Seminar: Prof. Amihay Hanany (Imperial College, London)
The National Institute for Theoretical Physics, and the Centre for Theoretical Physics, School of Physics, would like to invite to its coming talk in the theoretical physics seminar series, entitled:
"Hilbert Series on the Coulomb branch of 3 dimensional gauge theories with 8 supercharges"
to be presented by Prof. Amihay Hanany (Imperial College, London)
Abstract: This talk addresses a long standing problem  the identification of the chiral ring and moduli space on the Coulomb branch of an N = 4 superconformal field theory in 2+1 dimensions. Previous techniques involved a computation of the metric on the moduli space and/or mirror symmetry. These methods are limited to sufficiently small moduli spaces, with enough symmetry, or to Higgs branches of sufficiently small gauge theories. We introduce a simple formula for the Hilbert series of the Coulomb branch, which applies to any good or ugly threedimensional N = 4 gauge theory. The formula counts monopole operators which are dressed by classical operators, the Casimir invariants of the residual gauge group that is left unbroken by the magnetic flux. We apply our formula to several classes of gauge theories. Along the way we make various tests of mirror symmetry, successfully comparing the Hilbert series of the Coulomb branch with the Hilbert series of the Higgs branch of the mirror theory.
Date: Tuesday, 18th February 2014
Venue: Frank Nabarro Lecture Theatre P216
Time: 13.20  14.10
For more information please contact:
Alan S. Cornell
School of Physics
University of the Witwatersrand
Private Bag 3
Wits 2050
South Africa
Tel.:+27117176819
contact
 NITheP Stellenbosch node
 Rene Kotze
National Institute for Theoretical Physics
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Matieland,
Stellenbosch, South Africa,7602  Phone: +27 (0)21 808 2653  Fax: +27 (0)218083862
 NITheP Gauteng node
 Paula Marais
Physical address: University of Witwatersrand
School of Physics
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Braamfontein
JHB
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 NITheP KZN node
 Ms Nelisiwe Mncube
National Institute for Theoretical Physics
University of KwaZuluNatal
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4000
South Africa
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