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arXiv · 1809.10377

$α'$-corrections to DBI action via T-duality constraint

Saman Karimi·Mohammad R. Garousi
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Abstract

It is known that D$_p$-brane effective action at the leading order of $α'$ in flat space-time which is given by DBI action, transforms to D$_{p-1}$-brane effective action under standard T-duality transformations of the open string gauge bosons and transverse scalar fields. Extending this duality to order $α'$, one may find corrections to the DBI action which include the second fundamental form $Ω$ and the covariant derivative of gauge field strength $DF$, as well as the corrections to the T-duality transformations. Using this idea, up to two parameters, we have found all 81 covariant couplings of $D FD F$ and $ΩΩ$ with zero, two, four and six $F$'s. The four gauge field couplings that the T-duality constraint fixes are consistent with the known couplings in the literature.

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Saman Karimi, Mohammad R. Garousi. 2021-04-15. $α'$-corrections to DBI action via T-duality constraint. https://doi.org/10.1016/j.nuclphysb.2019.01.006

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