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Transformations of Currents in Sigma-Models with Target Space Supersymmetry
Vinicius Bernardesa, Andrei Mikhailovb, Eggon Vianab a CEICO, Institute of Physics of the Czech Academy of Sciences,
Na Slovance 2, 182 00 Prague 8, Czech Republic
b Instituto de Fisica Teorica, Universidade Estadual Paulista,
R. Dr. Bento Teobaldo Ferraz 271, Bloco II – Barra Funda,
CEP:01140-070 – Sao Paulo, Brasil
Аннотация:
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.
Ключевые слова:
sigma-models, conservation laws, anomalies, equivariant cohomology.
Поступила: 19 апреля 2023 г.; в окончательном варианте 26 марта 2024 г.; опубликована 10 апреля 2024 г.
Образец цитирования:
Vinicius Bernardes, Andrei Mikhailov, Eggon Viana, “Transformations of Currents in Sigma-Models with Target Space Supersymmetry”, SIGMA, 20 (2024), 031, 27 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma2033 https://www.mathnet.ru/rus/sigma/v20/p31
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