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. (C) 2011 American Institute of Physics. [doi:10.1063/1.3580676]
Calculus structure on the Lie conformal algebra complex and the variational complex / DE SOLE, Alberto; Pedram, Hekmati; Victor G., Kac. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - ELETTRONICO. - 52:5(2011), pp. 053510-053510-35. [10.1063/1.3580676]
Calculus structure on the Lie conformal algebra complex and the variational complex
DE SOLE, ALBERTO;
2011
Abstract
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. (C) 2011 American Institute of Physics. [doi:10.1063/1.3580676]I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.