Nuclear Physics B, ( ISI ), Volume (869), No (2), Year (2013-3) , Pages (216-241)

Title : ( S-matrix elements from T-duality )

Authors: komeil babaei velni , Mohammad Reza Garousi ,

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Recently it has been speculated that the S-matrix elements satisfy the Ward identity associated with the T-duality. This indicates that a group of S-matrix elements is invariant under the linear T-duality transformations on the external states. If one evaluates one component of such T-dual multiplet, then all other components may be found by the simple use of the linear T-duality. The assumption that fields must be independent of the Killing coordinate, however, may cause, in some cases, the T-dual multiplet not to be gauge invariant. In those cases, the S-matrix elements contain more than one T-dual multiplet which are intertwined by the gauge symmetry. In this paper, we apply the T-dual Ward identity on the S-matrix element of one RR $(p-3)$-form and two NSNS states on the world volume of a D$_p$-brane to find its corresponding T-dual multiplet. In the case that the RR potential has two transverse indices, the T-dual multiplet is gauge invariant, however, in the case that it has one transverse index the multiplet is not gauge invariant. We find a new T-dual multiplet in this case by imposing the gauge symmetry. We show that the multiplets are reproduced by explicit calculation, and their low energy contact terms at order $\alpha'^2$ are consistent with the existing couplings in the literature.


, T-duality,
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author = {Babaei Velni, Komeil and Garousi, Mohammad Reza},
title = {S-matrix elements from T-duality},
journal = {Nuclear Physics B},
year = {2013},
volume = {869},
number = {2},
month = {March},
issn = {0550-3213},
pages = {216--241},
numpages = {25},
keywords = {T-duality; S-matrix},


%0 Journal Article
%T S-matrix elements from T-duality
%A Babaei Velni, Komeil
%A Garousi, Mohammad Reza
%J Nuclear Physics B
%@ 0550-3213
%D 2013