Odd Scalar Curvature in Field-Antifield Formalism

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F08%3A00025619" target="_blank" >RIV/00216224:14310/08:00025619 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Odd Scalar Curvature in Field-Antifield Formalism

Original language description

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 anindependent 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.

Czech name

Odd Scalar Curvature in Field-Antifield Formalism

Czech description

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 anindependent 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.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

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Volume of the periodical

2008

Issue of the periodical within the volume

49 033515

Country of publishing house

US - UNITED STATES

Number of pages

22

Pages from-to

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UT code for WoS article

000254537500044

EID of the result in the Scopus database

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