Published May 2011
| Version v1
Journal article
Calculus structure on the Lie conformal algebra complex and the variational complex
- 1. Dipartimento di Matematica, Universita di Roma ''La Sapienza'', 00185 Roma (Italy)
- 2. School of Mathematical Sciences, University of Adelaide, Adelaide, SA 5005 (Australia)
- 3. Department of Mathematics, MIT, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139 (United States)
Description
We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G. Kac, Commun. Math. Phys. 292, 667 (2009)]. A special case of this construction is the variational calculus, for which we provide explicit formulas.
Additional details
Identifiers
- DOI
- 10.1063/1.3580676;
- arXiv
- arXiv:1007.3707v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 52
- Journal Issue
- 5
- Journal Page Range
- p. 053510-053510.35
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42093010
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; COMPLEX MANIFOLDS; CONFORMAL INVARIANCE; LIE GROUPS; QUANTUM FIELD THEORY; VARIATIONAL METHODS
- Descriptors DEC
- CALCULATION METHODS; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL MANIFOLDS; MATHEMATICS; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2011 American Institute of Physics