The leading eikonal operator in string-brane scattering at high energy

Abstract

In this paper we present two (a priori independent) derivations of the eikonal operator in string-brane scattering. The first one is obtained by summing surfaces with any number of boundaries, while in the second one the eikonal operator is derived from the three-string vertex in a suitable light-cone gauge. This second derivation shows that the bosonic oscillators present in the leading eikonal operator are to be identified with the string bosonic oscillators in a suitable light-cone gauge, while the first one shows that it exponentiates recovering unitarity. This paper is a review of results obtained in two previous publications of the same authors.

17 pages, talk given at the conference BUDS2013, Breaking of supersymmetry and Ultraviolet Divergences in extended Supergravities, National Laboratories of Frascati, March 25-28, 2013