Detailed Information on Publication Record
2009
A Comparative Study of Laplacians and Schroedinger-Lichnerowicz-Weitzenboeck Identities in Riemannian and Antisymplectic Geometry
BATALIN, Igor and Klaus BERING LARSENBasic information
Original name
A Comparative Study of Laplacians and Schroedinger-Lichnerowicz-Weitzenboeck Identities in Riemannian and Antisymplectic Geometry
Name in Czech
A Comparative Study of Laplacians and Schroedinger-Lichnerowicz-Weitzenboeck Identities in Riemannian and Antisymplectic Geometry
Authors
BATALIN, Igor (643 Russian Federation) and Klaus BERING LARSEN (208 Denmark, guarantor, belonging to the institution)
Edition
Journal of Mathematical Physics, USA, American Institute of Physics, 2009, 0022-2488
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10303 Particles and field physics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 1.318
RIV identification code
RIV/00216224:14310/09:00034160
Organization unit
Faculty of Science
UT WoS
000268614500023
Keywords in English
Dirac Operator; Spin Representations; BV Field Antifield Formalism; Antisymplectic Geometry; Odd Laplacian
Tags
Tags
International impact, Reviewed
Změněno: 17/3/2019 17:21, doc. Klaus Bering Larsen, Ph.D.
V originále
We introduce an antisymplectic Dirac operator and antisymplectic gamma matrices. We explore similarities between, on one hand, the Schroedinger--Lichnerowicz formula for spinor bundles in Riemannian spin geometry, which contains a zeroth--order term proportional to the Levi--Civita scalar curvature, and, on the other hand, the nilpotent, Grassmann--odd, second--order \Delta operator in antisymplectic geometry, which in general has a zeroth--order term proportional to the odd scalar curvature of an arbitrary antisymplectic and torsionfree connection that is compatible with the measure density. Finally, we discuss the close relationship with the two--loop scalar curvature term in the quantum Hamiltonian for a particle in a curved Riemannian space.
In Czech
We introduce an antisymplectic Dirac operator and antisymplectic gamma matrices. We explore similarities between, on one hand, the Schroedinger--Lichnerowicz formula for spinor bundles in Riemannian spin geometry, which contains a zeroth--order term proportional to the Levi--Civita scalar curvature, and, on the other hand, the nilpotent, Grassmann--odd, second--order \Delta operator in antisymplectic geometry, which in general has a zeroth--order term proportional to the odd scalar curvature of an arbitrary antisymplectic and torsionfree connection that is compatible with the measure density. Finally, we discuss the close relationship with the two--loop scalar curvature term in the quantum Hamiltonian for a particle in a curved Riemannian space.
Links
| MSM0021622409, plan (intention) |
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