Calculus structure on the Lie conformal algebra complex and the variational complex
Date
2011
Authors
De Sole, A.
Hekmati, P.
Kac, V.
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Journal article
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Journal of Mathematical Physics, 2011; 52(5):053510-1-053510-35
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Alberto De Sole, Pedram Hekmati, and Victor G. Kac
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Abstract
<jats:p>We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a \documentclass[12pt]{minimal}\begin{document}${\mathfrak g}$\end{document}g-complex introduced in [A. De Sole and V. G. Kac, Commun. Math. Phys. 292, 667 (2009)10.1007/s00220-009-0886-1]. A special case of this construction is the variational calculus, for which we provide explicit formulas.</jats:p>
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© 2011 American Institute of Physics