Strings and Fundamental Physics

Volume 851 of the series Lecture Notes in Physics pp 265-291


Doubled Field Theory, T-Duality and Courant-Brackets

  • Barton ZwiebachAffiliated withMassachusetts Institute of Technology Email author 

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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.