Triangle Seminars
Monday, 7 Mar 2005
From the Gaudin model to the uniformization of Riemann surfaces
📍 London
Sylvain Ribault
(KCL)
Abstract:
I will introduce the Gaudin Model. This model is described by a
system of commuting Hamiltonians. I will explain how the eigenvalue
equations for these Hamiltonians arise as the critical level limit of the
Knizhnik-Zamolodchikov equations. In particular, some eigenvectors can be
built from H3 correlators. Then I will use the H3-Liouville relation to
relate these correlators to Liouville theory correlators. The critical
level limit is interpreted in Liouville theory as a geometrical limit.
This leads to the construction of Gaudin eigenvalues from the accessory
parameters which arise in the uniformization of certain Riemann surfaces.
I will introduce the Gaudin Model. This model is described by a
system of commuting Hamiltonians. I will explain how the eigenvalue
equations for these Hamiltonians arise as the critical level limit of the
Knizhnik-Zamolodchikov equations. In particular, some eigenvectors can be
built from H3 correlators. Then I will use the H3-Liouville relation to
relate these correlators to Liouville theory correlators. The critical
level limit is interpreted in Liouville theory as a geometrical limit.
This leads to the construction of Gaudin eigenvalues from the accessory
parameters which arise in the uniformization of certain Riemann surfaces.
Posted by: KCL
Wednesday, 9 Mar 2005
The Jacobi principle and cosmological singularities
📍 London
Paul Townsend
(DAMTP)
Thursday, 10 Mar 2005
Supersymmetric black rings
Jan Gutowski
(Oxford)
Non-rational conformal field theory and holography
Jan Troost
(ENS Paris)
Abstract:
We will argue that the cigar conformal field theory SL(2,R)/U(1) is a prime example of a non-rational conformal field theory and we exhibit some of its characteristic features that might generalize to other non-rational conformal field theories. We discuss how this particular non-rational conformal field theory (with or without boundary) arises in string theory backgrounds with NS5-branes, and how the technical advances reached in the conformal field theory can illuminate aspects of holography in these backgrounds.
We will argue that the cigar conformal field theory SL(2,R)/U(1) is a prime example of a non-rational conformal field theory and we exhibit some of its characteristic features that might generalize to other non-rational conformal field theories. We discuss how this particular non-rational conformal field theory (with or without boundary) arises in string theory backgrounds with NS5-branes, and how the technical advances reached in the conformal field theory can illuminate aspects of holography in these backgrounds.
Posted by: IC