Superspace with manifest T-duality from type II superstring

Abstract

A superspace formulation of type II superstring background with manifest T-duality symmetry is presented. This manifestly T-dual formulation is constructed in a space spanned by two sets of nondegenerate super-Poincare algebra. Supertorsion constraints are obtained from consistency of the kappa-symmetric Virasoro constraints. All superconnections and vielbein fields are solved in terms of a prepotential which is one of the vielbein components. AdS5xS5 background is explained in this formulation.Comment: 23 pages; v2: minor modifications, references updated, version published in JHE

Ramond-Ramond gauge fields in superspace with manifest T-duality

“…The form number is equal to p for Dp-brane. In this paper we extend the manifestly T-duality formalism of type II superspace [18] to the one with the R-R gauge fields. It requires the following new procedures;…”

“…(b) Isotropy constraints: the isotropy group constraints are usual gauge constarints for a gauged coset model; such as Lorentz group parts S mn = S m ′ n ′ = 0 for Poincaré groups [18,31].…”

“…(c) Dimensional reduction constraints: dimensional reduction constraints are imposed on the unphysical symmetry currents to remove auxiliary coordinates which are introduced to make nondegenerate group metric; such asΩ µ =Ω µ ′ = Σ mn =Σ m ′ n ′ = 0 [18,26,31,48].…”

“…The superspace is defined by affine nondegenerate double super-Poincaré algebras with the R-R central charges. Notation follows our previous paper [18]. After a central extension of a Lie algebra, its affine extension is presented.…”

“…A superspace approach of type II supergravity theories with manifest T-duality has been proposed in [18,19]. Supergravity theories were constructed in superspace with almost all symmetries manifest except T-duality symmetry in [20][21][22].…”