Triangle Seminars
Monday, 27 Nov 2006
Integrability in gauge theory and string theory VI
Nick Dorey
(Cambridge/Imperial Maths Institute)
Abstract:
In these lectures, I will introduce the concept of integrability and study its realisation in the context of gauge theory and string theory. In particular, I plan to review recent progress in computing the spectrum of operator dimensions in N=4 supersymmetric Yang-Mills theory and the dual problem of determining the spectrum of string theory on AdS5 x S5.
In these lectures, I will introduce the concept of integrability and study its realisation in the context of gauge theory and string theory. In particular, I plan to review recent progress in computing the spectrum of operator dimensions in N=4 supersymmetric Yang-Mills theory and the dual problem of determining the spectrum of string theory on AdS5 x S5.
Posted by: IC
Wednesday, 29 Nov 2006
Integrability and the AdS/CFT correspondence at large R-charge
📍 London
Nick Dorey
(DAMTP, Cambridge)
A geometric description of m-cluster categories
Karin Baur
(University of Leicester)
Abstract:
This is joint work with R. Marsh (Leeds).
I will describe m-cluster categories of type A
using a category of diagonals of a regular polygon.
This generalises a result of Caldero, Chapoton and
Schiffler for m=1.
This is joint work with R. Marsh (Leeds).
I will describe m-cluster categories of type A
using a category of diagonals of a regular polygon.
This generalises a result of Caldero, Chapoton and
Schiffler for m=1.
Posted by: CityU
Thursday, 30 Nov 2006
Thermodynamics at the BPS bound for Black Holes in AdS
Pedro J. Silva
Abstract:
In this work we define a new limiting procedure that extends the usual thermodynamics treatment of Black Hole physics, to the supersymmetric regime. This procedure is inspired on equivalent statistical mechanics derivations in the dual CFT theory, where the BPS partition function at zero temperature is obtained by a double scaling limit of temperature and the relevant chemical potentials. In supergravity, the resulting partition function depends on emergent generalized chemical potentials conjugated to the different conserved charges of the BPS solitons. With this new approach, studies on stability and phase transitions of supersymmetric solutions are presented. We find stable and unstable regimes with first order phase transitions, as suggested by previous studies on free supersymmetric Yang Mills theory.
In this work we define a new limiting procedure that extends the usual thermodynamics treatment of Black Hole physics, to the supersymmetric regime. This procedure is inspired on equivalent statistical mechanics derivations in the dual CFT theory, where the BPS partition function at zero temperature is obtained by a double scaling limit of temperature and the relevant chemical potentials. In supergravity, the resulting partition function depends on emergent generalized chemical potentials conjugated to the different conserved charges of the BPS solitons. With this new approach, studies on stability and phase transitions of supersymmetric solutions are presented. We find stable and unstable regimes with first order phase transitions, as suggested by previous studies on free supersymmetric Yang Mills theory.
Posted by: IC
Heterotic M-theory simplified
Ian Moss
(Newcastle)
Abstract:
The theory of supergravity on manifolds with boundary leads to very tightly
constrained boundary conditions. When applied to low energy heterotic M
theory, these boundary conditions are inconsistent with the work of Horava
and Witten, but lead to a simplification of their action. The reduction of
the new theory throws up some interesting new insights into gaugino
condensation and no-scale supergravity models. The new theory also suggests
the existence of a new type of index theorem.
The theory of supergravity on manifolds with boundary leads to very tightly
constrained boundary conditions. When applied to low energy heterotic M
theory, these boundary conditions are inconsistent with the work of Horava
and Witten, but lead to a simplification of their action. The reduction of
the new theory throws up some interesting new insights into gaugino
condensation and no-scale supergravity models. The new theory also suggests
the existence of a new type of index theorem.
Posted by: QMW