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Transformations of Currents in Sigma-Models with Target Space Supersymmetry

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Autor(es):
Bernardes, Vinicius ; Mikhailov, Andrei ; Viana, Eggon
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Symmetry Integrability and Geometry-Methods and Applications; v. 20, p. 27-pg., 2024-01-01.
Resumo

We develop a framework for systematic study of symmetry transformations of sigma -model currents in a special situation, when symmetries have a well-defined projection onto the target space. We then apply this formalism to pure spinor sigma -models, and describe the resulting geometric structures in the target space (which in our approach includes the pure spinor ghosts). We perform a detailed study of the transformation properties of currents, using the formalism of equivariant cohomology. We clarify the descent procedure for the "universal" deformation corresponding to changing the overall scale of the worldsheet action. We also study the contact terms in the OPE of BRST currents, and derive some relations between currents and vertex operators which perhaps have not been previously acknowledged. We also clarify the geometrical meaning of the "minimalistic" BV action for pure spinors in AdS. (AU)

Processo FAPESP: 22/00940-2 - Métodos cohomológicos em AdS/CFT
Beneficiário:Eggon Viana Teixeira Galvão
Modalidade de apoio: Bolsas no Brasil - Doutorado
Processo FAPESP: 19/21281-4 - Dualidade gravitação / Teoria de gauge
Beneficiário:Horatiu Stefan Nastase
Modalidade de apoio: Auxílio à Pesquisa - Temático