PIRSA:14110144

Gauge theories and quantum hydrodynamics

(2014). Gauge theories and quantum hydrodynamics. Perimeter Institute. https://pirsa.org/14110144

Gauge theories and quantum hydrodynamics. Perimeter Institute, Nov. 17, 2014, https://pirsa.org/14110144 

          @misc{ pirsa_PIRSA:14110144,
            doi = {10.48660/14110144},
            url = {https://pirsa.org/14110144},
            author = {},
            keywords = {},
            language = {en},
            title = {Gauge theories and quantum hydrodynamics},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {nov},
            note = {PIRSA:14110144 see, \url{https://pirsa.org}}
          }
Talk number
PIRSA:14110144
Talk Type
Abstract
Hydrodynamic integrable systems are described in terms of integrable partial
differential equations.
I will focus on the periodic Intermediate Long Wave (ILW) system, both at
the classical and quantum level. The quantum problem has not been solved
yet, if not in a particular limit (the Benjamin-Ono limit) which is related
to the AGT correspondence. I will show how a particular two dimensional
N=(2,2) gauge theory on S^2 can be used to determine the spectrum of the ILW
system via Bethe Ansatz equations. Moreover the partition function of this
theory (which represents the instanton partition function on C^2*S^2)
computes genus zero Gromov-Witten invariants for the instanton moduli space,
thus relating quantum cohomology to quantum hydrodynamics.