Superstring interactions in app-wave background

Abstract

We construct light-cone gauge superstring field theory in a pp-wave background with Ramond-Ramond flux. The leading term in the interaction Hamiltonian is determined up to an overall function of p + by requiring closure of the pp-wave superalgebra. The bosonic and fermionic Neumann matrices for this cubic vertex are derived, as is the interaction point operator. We comment on the development of a 1/µp + expansion for these results.

From spin vertex to string vertex

“…The reason is that their proposal has the virtue that works for both extremal and nonextremal 2 correlation functions [25]. Interestingly, the prefactor of Dobashi and Yoneya is the half sum of two prefactors P 1 and P 2 proposed in [27][28][29][30] and [34] respectively…”

“…In this section we review briefly the light-cone string field theory for strings on the pp-wave background [27][28][29][30][31] and refer the interested readers to [32,33] and references therein for more detail.…”

String interactions and discrete symmetries of the pp-wave background

“…In [17] and in many subsequent papers this same zero mode structure has been adopted also in the construction of the string interaction vertex in the background (1). However from the discussion of the previous section, it is clear that eq.…”

“…By this we mean that two physical amplitudes related by a Z 2 transformation should be exactly equal, as it is for amplitudes that are connected by SO(4) × SO(4) rotations. However, the simplest generalization of the flat-space construction [13,14] to the plane-wave background (1) considered in [17] does not satisfy this property: the physical amplitudes derived from the vertices [17,16] are SO(4) × SO(4) invariant, but transform non-trivially under the Z 2 map (2). In fact, consider the vertices constructed in [17,16].…”

String interactions in gravitational wave backgrounds

“…Despite the simplicity of the light-cone sigma model for the Penrose limit of AdS 5 × S 5 , (a free theory of massive two-dimensional fields), it turns out that the calculation of non-trivial light-cone scattering amplitudes seems formidable, and there is no consensus yet on the details of the three-string vertex [14].…”