Double space T-dualization and coordinate dependent RR

Abstract

In this article we examine T-dualization in double space formalism of type II superstring theory in pure spinor formulation. Background fields that we consider will all be constant except Ramond-Ramond field which will infinitesimally depend only on bosonic coordinates $x^{\mu }$. In double space T-dual transformations are represented as permutations between starting $x^{\mu }$ and dual coordinates $y_{\mu }$. Combining these two sets of coordinates into double coordinate $Z^M=(x^{\mu },y_{\mu })$ while demanding that T-dual double coordinates have same transformation laws, we obtain how background fields transform under T-duality. Comparing these results with ones obtained with Buscher T-dualization procedure we are able to conclude that these two approaches are equivalent for cases where background fields have coordinate dependence.

References in corpus (35)

• Target Space Duality in String Theory
• Superspace Duality in Low-Energy Superstrings
• A Geometry for Non-Geometric String Backgrounds
• Duality, Quotients, and Currents
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• Doubled Geometry and T-Folds
• Some Global Aspects of Duality is String Theory
• Non-commutative superspace from string theory
• Double Field Theory of Type II Strings
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Unification of Type II Strings and T-duality
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Non-geometric backgrounds, doubled geometry and generalised T-duality
• Double Field Theory at Order ${\alpha }^{\prime }$
• Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
• Ramond-Ramond Cohomology and O(D,D) T-duality
• SO(d,d) Transformations of Ramond-Ramond Fields and Space-time Spinors
• Comments on T-dualities of Ramond-Ramond Potentials
• Vertex Operators for Closed Superstrings
• The Covariant Quantum Superstring and Superparticle from their Classical Actions
• T-duality in the weakly curved background
• Canonical approach to the closed string noncommutativity
• The Massless Spectrum of Covariant Superstrings
• T-duality diagram for a weakly curved background
• T-duality as coordinates permutation in double space for weakly curved background
• T-duality as coordinates permutation in double space
• The T-dual symmetries of a bosonic string
• T-dualization of type II superstring theory in double space
• Open string T-duality in double space
• Courant bracket as T-dual invariant extension of Lie bracket
• Twisted C-brackets
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field
• Advantage of the second-order formalism in double space T-dualization of type II superstring
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field -- the general case
• Combined fermionic and bosonic T-duality of type II superstring theory with coordinate dependent RR field