AdS(5) x S-5 supergravity vertex operators

Author(s)

Fleury, Thiago ^[1] ; Martins, Lucas N. S. ^[2]

Affiliation

^[1] Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ, BR-59078970 Natal, RN - Brazil

^[2] Univ Estadual Paulista, ICTP South Amer Inst Fundamental Res, Inst Fis Teor, UNESP, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: Journal of High Energy Physics; n. 7 JUL 27 2021.
• Web of Science Citations: 0

Abstract

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 AdS(5) x S-5 background. Previously, the vertex operators were only known close to the boundary of AdS(5) 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 AdS(5) x S-5 string amplitudes. (AU)

• FAPESP's process: 18/07834-8 - The twistor superstring
• Grantee: Lucas Nogueira de Sá Martins
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)