O(D,D) gauge fields in the T-dual string Lagrangian

Abstract

We present the string Lagrangian with manifest T-duality. Not only zero-modes but also all string modes are doubled. The gravitational field is an O(D,D) gauge field. We give a Lagrangian version of the section condition for the gauge invariance which compensates the O(D,D) transformation from the gravitational field and the GL(2D) coordinate transformation. We also show the gauge invariance of the line element of the manifest T-duality space and the O(D,D) condition on the background. Different sections describe dual spaces.

18 pages, Lualatex; v2: version appears in JHEP, added references, detailed explanations are added, Lualatex file available at http://insti.physics.sunysb.edu/~siegel/tex.shtml

References in corpus (6)

• The gauge algebra of double field theory and Courant brackets
• Strings and Branes are Waves
• Superspace with manifest T-duality from type II superstring
• Ramond-Ramond gauge fields in superspace with manifest T-duality
• T-duality off shell in 3D Type II superspace
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Cited by in corpus (4)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models
• T-dual Superstring Lagrangian with double zweibeins
• Perturbative F-theory 10-brane and M-theory 5-brane