AdS 5 × S 5 supergravity vertex operators

Made available in DSpace on 2022-04-29T08:31:25Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-07-01 In any type II superstring background, the supergravity vertex operators in the pure spinor formalism are described by a gauge superfield. In this paper, we obtain for the first time an explicit expression for this superfield in an AdS5 × S5 background. Previously, the vertex operators were only known close to the boundary of AdS5 or in the minus eight picture. Our strategy for the computation was to apply eight picture raising operators in the minus eight picture vertices. In the process, a huge number of terms are generated and we have developed numerical techniques to perform intermediary simplifications. Alternatively, the same numerical techniques can be used to compute the vertices directly in the zero picture by constructing a basis of invariants and fitting for the coefficients. One motivation for constructing the vertex operators is the computation of AdS5 × S5 string amplitudes. International Institute of Physics Federal University of Rio Grande do Norte, Campus Universitário, Lagoa Nova Instituto de Física Teórica UNESP-Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271 Instituto de Física Teórica UNESP-Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271