Higher derivative corrections to Wess-Zumino and tachyonic actions in type II super string theory

Abstract

We evaluate in detail the string scattering amplitude to compute different interactions of two massless scalars, one tachyon and one closed string RamondRamond field in type II super string theory. In particular we find two scalar field and two tachyon couplings to all orders of α ′ up to on-shell ambiguity.We then obtain the momentum expansion of this amplitude and apply this infinite number of couplings to actually check that the infinite number of tachyon poles of S-matrix element of this amplitude for the p = n case (where p is the spatial dimension of a D p -brane and n is the rank of a Ramond-Ramond field strength ) to all orders of α ′ is precisely equal to the infinite number of tachyon poles of the field theory. In addition to confirming the couplings of closed string Ramond-Ramond field to the world-volume gauge field and scalar fields including 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 number of massless poles and 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.

New examples of flux vacua

“…this becomes 26) which is again equivalent to our warp factor equation. That concludes our check of the type IIB equations of motion.…”

“…Taking the Hodge dual gives, 26) where * 3 is again the Hodge star with respect to the unwarped metric, while d 3 again acts only on the three-torus given by (x 2 , y 2 , z 2 ).…”

Remarks on non-BPS string amplitudes and their all order α′ contact interactions in IIB, IIA

“…Hence, RR in (−1/2, −1/2) picture for brane-anti brane system must carry σ 3 CP matrix. We have also discussed in [27] that for non-BPS branes in (-1) picture there has to be another extra coefficient so that RR in (-1) picture for the non-BPS branes does carry σ 3 σ 1 CP matrix. Picture changing operator (PCO) also carries σ 3 CP factor.…”

“…Among other things, one of our goals of this paper is to actually find out RR couplings in asymmetric picture. We intend not to write down the actions that have been explored, and would rather read off some of the EFT methods and their effective actions from [27].…”

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian

“…This method consists in working with BPS configurations in the deformed Yang-Mills lagrangian [36] and it is due to Koerber and Sevrin. Actually, a complete low energy description of D-branes not only depends on the DiracBorn-Infeld lagrangian (which already describes interactions between open and closed strings), but also on the Wess-Zumino lagrangian (which considers the interactions between open strings and the Ramnod-Ramond sector of closed strings; see, for example, the introduction of [37] for a recent review on the subject and references [38,39] for several attempts with non-BPS branes.). A revival on S-matrix calculations to determine the D-brane low energy effective lagrangian terms (besides the pure gauge field ones) and also to determine the Wess-Zumino lagrangian terms is been going on this year [40,41].…”