2D sigma models and differential Poisson algebras
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Archivos
Fecha
2015-08
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
Springer
Nombre de Curso
Licencia CC
Licencia CC
Resumen
We construct a two-dimensional topological sigma model whose target space is endowed with a Poisson algebra for differential forms. The model consists of an equal number of bosonic and fermionic fields of worldsheet form degrees zero and one. The action is built using exterior products and derivatives, without any reference to a worldsheet metric, and is of the covariant Hamiltonian form. The equations of motion define a universally Cartan integrable system. In addition to gauge symmetries, the model has one rigid nilpotent supersymmetry corresponding to the target space de Rham operator. The rigid and local symmetries of the action, respectively, are equivalent to the Poisson bracket being compatible with the de Rham operator and obeying graded Jacobi identities. We propose that perturbative quantization of the model yields a covariantized differential star product algebra of Kontsevich type. We comment on the resemblance to the topological A model.
Notas
Indexación: Scopus; Web of Science.
Palabras clave
Topological Field, Theories Differential and Algebraic Geometry, NonCommutative Geometry, Topological Strings
Citación
J. High Energ. Phys. (2015) 2015: 95