Triangle Seminars
Monday, 16 Nov 2009
SEMINAR CANCELLED
Steve Giddings
(CERN)
Tuesday, 17 Nov 2009
Quantum 1D Hamiltonians from statistical models
Yacine Ikhlef
(Universite de Geneve)
Abstract:
Motivated by recent work on frustrated spin chains and anyonic fusion chains, we define a 1D quantum Hamiltonian (based on the Temperley-Lieb algebra) which contains these models as special cases. This Hamiltonian contains a new integrable point with Z_2-symmetry, which we have solved exactly. In this talk, I will first explain the physical motivations and recall basic facts on the Temperley-Lieb algebra, a central object in 2D Statistical Mechanics. Then I will present analytical and numerical results for the phase diagram, and comment on perspectives in the fields of Condensed Matter Theory and Integrable Models.
Motivated by recent work on frustrated spin chains and anyonic fusion chains, we define a 1D quantum Hamiltonian (based on the Temperley-Lieb algebra) which contains these models as special cases. This Hamiltonian contains a new integrable point with Z_2-symmetry, which we have solved exactly. In this talk, I will first explain the physical motivations and recall basic facts on the Temperley-Lieb algebra, a central object in 2D Statistical Mechanics. Then I will present analytical and numerical results for the phase diagram, and comment on perspectives in the fields of Condensed Matter Theory and Integrable Models.
Posted by: KCL
Wednesday, 18 Nov 2009
N=2 generalized quiver theories, Liouville theory and loop operators
๐ London
Nadav Drukker
(Humboldt)
Abstract:
A large family of interacting conformal field theories in four
dimensions with N=2 supersymmetry was recently constructed by Gaiotto.
Each gauge theory is associated to a Riemann surface with certain
allowed singularities. In fact, it was proposed by Alday, Gaiotto and
Tachikawa that the partition function of these theories (based on
SU(2) gauge groups) is equal to correlation function in Liouville
theory with central charge c=25.
After reviewing these constructions I will turn to a detailed
exploration of S-duality using loop operators: Wilson, 't Hooft and
dyonic. I will explain the classification and evaluation of arbitrary
loops in arbitrary theories and show how they transform into
each-other under S-duality.
A large family of interacting conformal field theories in four
dimensions with N=2 supersymmetry was recently constructed by Gaiotto.
Each gauge theory is associated to a Riemann surface with certain
allowed singularities. In fact, it was proposed by Alday, Gaiotto and
Tachikawa that the partition function of these theories (based on
SU(2) gauge groups) is equal to correlation function in Liouville
theory with central charge c=25.
After reviewing these constructions I will turn to a detailed
exploration of S-duality using loop operators: Wilson, 't Hooft and
dyonic. I will explain the classification and evaluation of arbitrary
loops in arbitrary theories and show how they transform into
each-other under S-duality.
Posted by: IC
Holographic Vortices and Quasiparticles in Strongly Coupled Systems
๐ London
Clifford Johnson
(USC)
Abstract:
The dynamics of vortices and quasiparticles in holographic realizations of 2+1 dimensional strongly interacting systems are studied in the presence of magnetic field. The first part of the seminar will discuss holographic superconductors and the second part will discuss holographic realizations of Fermi surfaces.
The dynamics of vortices and quasiparticles in holographic realizations of 2+1 dimensional strongly interacting systems are studied in the presence of magnetic field. The first part of the seminar will discuss holographic superconductors and the second part will discuss holographic realizations of Fermi surfaces.
Posted by: QMW