Speaker
Dr
Andreas Deser
(Leibniz University Hannover)
Description
Double field theory is a proposal to incorporate T-duality as a symmetry of a field theory defined on a formally doubled configuration space. Its gauge transformations are governed by the so-called C-bracket which reduces to the Courant bracket of Hitchin and Gualtieri's generalized geometry by solving the "strong constraint", i.e. projecting to a physical configuration space.
By giving an interpretation of double fields as functions on the Drinfel'd double of a suitable Lie bialgebroid, we give a representation of the C-bracket in terms of Poisson brackets and identify the strong constraint as the defining condition of the Drinfel'd double.
Primary authors
Dr
Andreas Deser
(Leibniz University Hannover)
Prof.
Jim Stasheff
(University of Pennsylvania)