Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models

Abstract

We study the $O(D,D+n)$ generalized metric and the gauge symmetries in the gauged double field theory (DFT) in view of current algebras and sigma models. We show that the $O(D,D+n)$ generalized metric in the gauged DFT is consistent with the heterotic sigma models at the leading order in the ${\alpha }^{\prime }$-corrections. We then study the non-Abelian gauge symmetries and current algebras of heterotic string theories. We show that the algebras exhibit the correct diffeomorphism, the $B$-field gauge transformations of the background fields together with the non-Abelian gauge transformations possibly with the appropriate local Lorentz transformations.

20 pages, minor corrections, version appeared in JHEP

References in corpus (9)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• Double Field Theory at Order ${\alpha }^{\prime }$
• Heterotic $\alpha$'-corrections in Double Field Theory
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• More on Doubled Aspects of Algebroids in Double Field Theory
• Five-brane Current Algebras in Type II String Theories