Abstract
Recently, it has been observed that in a T-duality invariant world-volume theory in flat spacetime, all orders of gauge field strength and all orders of the D-brane velocity appear in two specific matrices. Using these two matrices, we construct the world-volume couplings of two massless NSNS states at order α ′2 and all orders of the velocity and the gauge field strength, by requiring them to be invariant under the linear T-duality. The standard extension F → F + P[B], then produces all orders of the pull-back of B-field into the action. We compare the resulting couplings for zero velocity and gauge field strength, with the α ′2 terms of the disk-level S-matrix element of two massless NSNS vertex operators in the presence of a constant background B-field. We have found an exact agreement.
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Jafari, G., Ghodsi, A. & Garousi, M.R. On T-duality of R 2-corrections to DBI action at all orders of gauge field. J. High Energ. Phys. 2016, 81 (2016). https://doi.org/10.1007/JHEP04(2016)081
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DOI: https://doi.org/10.1007/JHEP04(2016)081