1203.1329 (Ehsan Hatefi)

On higher derivative corrections to Wess-Zumino and Tachyonic actions in
type II super string theory    [PDF]

Ehsan Hatefi

By evaluating in detail the string scattering amplitude, we investigate various interactions of two massless scalars, one tachyon and one closed string Ramond-Ramond field in type II super string theory. In particular we find two scalar field and two tachyon couplings to all orders of $\alpha'$ up to on-shell ambiguity. We then obtain the momentum expansion of this amplitude and using these infinite couplings we find that infinite tachyon poles of S-matrix element of this amplitude for the $p=n$ case to all orders of $\alpha'$ are precisely equal to the infinite tachyon poles of the field theory. In addition to confirming the couplings of closed string field to the world-volume gauge field and scalar fields involving commutators, we also propose an extension of the Wess-Zumino action which naturally reproduces these new couplings in field theory such that they could be confirmed with direct S-matrix computations. Finally we show that the infinite massless poles and the contact terms of this amplitude for the $p=n+1$ case can be reproduced by Chern-Simons, higher derivative corrections of the Wess-Zumino and symmetrized trace tachyon DBI actions.

View original: http://arxiv.org/abs/1203.1329