J 2006

A Note on Semidensities in Antisymplectic Geometry

BERING LARSEN, Klaus

Basic information

Original name

A Note on Semidensities in Antisymplectic Geometry

Name in Czech

A Note on Semidensities in Antisymplectic Geometry

Authors

BERING LARSEN, Klaus (208 Denmark, guarantor, belonging to the institution)

Edition

Journal of Mathematical Physics, USA, American Institute of Physics (AIP), 2006, 0022-2488

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10303 Particles and field physics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 1.018

RIV identification code

RIV/00216224:14310/06:00016748

Organization unit

Faculty of Science

UT WoS

000243158100034

Keywords in English

Batalin-Vilkovisky Field-Antifield Formalism; Odd Laplacian; Antisymplectic Geometry; Semidensity; Halfdensity.

Tags

International impact, Reviewed
Changed: 17/3/2019 17:11, doc. Klaus Bering Larsen, Ph.D.

Abstract

In the original language

We revisit Khudaverdian's geometric construction of an odd nilpotent operator \Delta_E that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the \Delta_E operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.

In Czech

We revisit Khudaverdian's geometric construction of an odd nilpotent operator \Delta_E that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the \Delta_E operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.

Links

MSM0021622409, plan (intention)
Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications