T-duality of D-brane action at order ${\alpha }^{\prime }$ in bosonic string theory

Abstract

In bosonic string theory, it is known that the Buscher rules for the T-duality transformations receive quantum corrections at order ${\alpha }^{\prime }$. In this paper, we use the consistency of the gravity couplings on the D-brane effective action at order ${\alpha }^{\prime }$, with the above T-duality transformations to find the B-field and the dilaton couplings. We show that these couplings are fully consistent with the corresponding disk-level S-matrix elements in string theory.

19 pages, Latex file, no figure; v2:minor corrections in section 3, it appears in JHEP

References in corpus (2)

• Double Field Theory
• A field-theory motivated approach to symbolic computer algebra

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