T-dual Superstring Lagrangian with double zweibeins

Abstract

We present superstring Lagrangians with manifest T-duality. The Lagrangian version of the section conditions are necessary to make Lagrangians to be general coordinate invariant. We show the general solution of section conditions. The D-dimensional left and right moving currents are the 2D-dimensional chiral current which causes the chiral boson problem. We solve the problem by adding the unphysical 2D-dimensional anti-selfdual current with the selfduality constraints. The Lagrange multipliers of the selfduality constraints play the role of the worldsheet zweibein allowing the Weyl invariant and Lorentz symmetric worldsheet. Doubling the zweibein makes the type II kappa-symmetry splitting into two sets of the type I kappa-symmetries.

24 pages, typos corrected, a reference added, notation of D-dimensional coordinates changed from uppercase letters to lowercase letters, accepted version in JHEP

References in corpus (5)

• Background Field Equations for the Duality Symmetric String
• Superspace with manifest T-duality from type II superstring
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Ramond-Ramond gauge fields in superspace with manifest T-duality
• Advantage of the second-order formalism in double space T-dualization of type II superstring

Cited by in corpus (5)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models
• Relic density and temperature evolution of a light dark sector
• Perturbative F-theory 10-brane and M-theory 5-brane
• Dark sector searches with high-intensity positron beams in the CERN North Area