Doubled field theory, T-duality and Courant-brackets. (English) Zbl 1292.81122
Baumgartl, Marco (ed.) et al., Strings and fundamental physics. Selected papers based on the presentations at the international school, Munich/Garching, Germany, July 25 – August 6, 2010. Berlin: Springer (ISBN 978-3-642-25946-3/pbk; 978-3-642-25947-0/ebook). Lecture Notes in Physics 851, 265-291 (2012).
Summary: In these lecture notes we give a simple introduction into double field theory. We show that the presence of momentum and winding excitations in toroidal backgrounds of closed string theory makes it natural to consider double field theories. A tool-kit is developed based on the Courant bracket and generalized Lie derivatives. We construct a background independent action which represents a T-duality covariantization of the Einstein-Hilbert action for gravity coupled to an antisymmetric tensor field and a dilaton.
For the entire collection see [Zbl 1239.81006].
For the entire collection see [Zbl 1239.81006].
MSC:
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
81T13 | Yang-Mills and other gauge theories in quantum field theory |
83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
14M25 | Toric varieties, Newton polyhedra, Okounkov bodies |