Informace o publikaci

Odd Scalar Curvature in Field-Antifield Formalism

Autoři

BATALIN Igor BERING LARSEN Klaus

Rok publikování 2008
Druh Článek v odborném periodiku
Časopis / Zdroj Journal of Mathematical Physics
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www http://www.arxiv.org/abs/0708.0400
Doi http://dx.doi.org/10.1063/1.2835485
Obor Teoretická fyzika
Klíčová slova BV Field-Antifield Formalism; Odd Laplacian; Antisymplectic Geometry; Semidensity; Antisymplectic Connection; Odd Scalar Curvature.
Popis We consider the possibility of adding a Grassmann-odd function \nu to the odd Laplacian. Requiring the total \Delta operator to be nilpotent leads to a differential condition for \nu, which is integrable. It turns out that the odd function \nu is not an independent geometric object, but is instead completely specified by the antisymplectic structure E and the density \rho. The main impact of introducing the \nu term is that it makes compatibility relations between E and \rho obsolete. We give a geometric interpretation of \nu as (minus 1/8 times) the odd scalar curvature of an arbitrary antisymplectic, torsion-free and Ricci-form-flat connection. Finally, we speculate on how the density \rho could be generalized to a non-flat line bundle connection.
Související projekty:

Používáte starou verzi internetového prohlížeče. Doporučujeme aktualizovat Váš prohlížeč na nejnovější verzi.

Další info