Open string T-duality in double space

Abstract

The role of double space is essential in new interpretation of T-duality and consequently in an attempt to construct M-theory. The case of open string is missing in such approach because until now there have been no appropriate formulation of open string T-duality. In the previous paper [1], we showed how to introduce vector gauge fields $A_a^N$ and $A_i^D$ at the end-points of open string in order to enable open string invariance under local gauge transformations of the Kalb-Ramond field and its T-dual "restricted general coordinate transformations". We demonstrated that gauge fields $A_a^N$ and $A_i^D$ are T-dual to each other. In the present article we prove that all above results can be interpreted as coordinate permutations in double space.

18 pages

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Cited by in corpus (6)

• Generalized 11D supergravity equations from tri-vector deformations
• The T-dual symmetries of a bosonic string
• Open-string T-duality and applications to non-geometric backgrounds
• From geometry to non-geometry via T-duality
• Simultaneous T-dualization of type II pure spinor superstring
• Double space T-dualization and coordinate dependent RR