Derived brackets in bosonic string sigma-model

Autor(es)

Bernardes, Vinicius ; Mikhailov, Andrei ; Viana, Eggon

• Tipo de documento: Artigo Científico
• Fonte: Nuclear Physics B; v. 982, p. 21-pg., 2022-06-28.

Resumo

We study the worldsheet theory of bosonic string from the point of view of the BV formalism. We explicitly describe the derived Poisson structure which arises when we expand the Master Action near a Lagrangian submanifold. The resulting higher Poisson brackets are all degenerate and essentially constant along their symplectic leaves. Deformations of the worldsheet complex structures define a family of La-grangian submanifolds, parametrized by Beltrami differential. The worldsheet action depends nonlinearly on the Beltrami differential, but the structure of nonlinearity is governed by the BV Master Equation. This helps to clarify the mechanism of holomorphic factorization of string amplitudes. (C) 2022 The Author(s). Published by Elsevier B.V. Funded by SCOAP(3). (AU)

• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais