Triangle Seminars
Wednesday, 17 Oct 2007
Matrix Factorizations, D-branes and Homological Mirror Symmetry
📍 London
Wolfgang Lerche
(CERN)
Abstract:
We will review in simple terms how mirror symmetry works for general D-brane configurations, and in particular discuss how abstract mathematical concepts can be realized by physical LG models based on matrix factorizations. As for an application of these methods, we will explain how to explicitly compute exact, instanton-corrected effective superpotentials.
(Directions to the room can be found on the triangle website http://brahms.mth.kcl.ac.uk/cgi-bin/main.pl?action=triangle)
We will review in simple terms how mirror symmetry works for general D-brane configurations, and in particular discuss how abstract mathematical concepts can be realized by physical LG models based on matrix factorizations. As for an application of these methods, we will explain how to explicitly compute exact, instanton-corrected effective superpotentials.
(Directions to the room can be found on the triangle website http://brahms.mth.kcl.ac.uk/cgi-bin/main.pl?action=triangle)
Posted by: KCL
Near-Integrability in 2+1-Dimensional Yang-Mills Theory
📍 London
Peter Orland
(City University of New York)
Abstract:
Pure Yang-Mills theory (with no matter) in 2+1-dimensions can be thought of as a system of 1+1 integrable field theories coupled together. These theories decouple in an anisotropic limit. This fact makes confinement and the mass gap simple to understand. This is the only analytic approach to this problem which does not rely on strong-coupling assumptions. Exact knowledge of the S-matrix and form factors of these integrable theories can be used to reveal details of the static potential between quarks and the mass spectrum. If a further assumption is made, the isotropic case should also be accessible to this technique.
Pure Yang-Mills theory (with no matter) in 2+1-dimensions can be thought of as a system of 1+1 integrable field theories coupled together. These theories decouple in an anisotropic limit. This fact makes confinement and the mass gap simple to understand. This is the only analytic approach to this problem which does not rely on strong-coupling assumptions. Exact knowledge of the S-matrix and form factors of these integrable theories can be used to reveal details of the static potential between quarks and the mass spectrum. If a further assumption is made, the isotropic case should also be accessible to this technique.
Posted by: KCL
Thursday, 18 Oct 2007
Scattering Amplitudes via AdS/CFT
Luis F. Alday
(Utrecht)