The T-dual symmetries of a bosonic string

Abstract

We investigate whether the symmetry transformations of a bosonic string are connected by T-duality. We start with a standard closed string theory. We continue with a modified open string theory, modified to preserve the symmetry transformations possessed by the closed string theory. Because the string theory is conformally invariant world sheet field theory, in order to find the transformations which preserve the physics, one has to demand the isomorphism between the conformal field theories corresponding to the initial and the transformed field configurations. We find the symmetry transformations corresponding to the similarity transformation of the energy-momentum tensor, and find that their generators are T-dual. Particularly, we find that the general coordinate and local gauge transformations are T-dual, so we conclude that T-duality in addition to the well known exchanges, transforms symmetries of the initial and its T-dual theory into each other.

References in corpus (2)

• T-dualization in a curved background in absence of a global symmetry
• Open string T-duality in double space

Cited by in corpus (8)

• Courant bracket found out to be T-dual to Roytenberg bracket
• Twisted C-brackets
• Courant bracket twisted both by a 2-form $B$ and by a bi-vector $\theta$
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field -- the general case
• Fluxes of Courant bracket twisted at the same time by $B$ and $\theta$
• T-duality of a bosonic string in a weakly curved space-time
• Effective theories of two T-dual theories are also T-dual
• Double space T-dualization and coordinate dependent RR