Calculus structure on the Lie conformal algebra complex and the variational complex
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1007.3707.pdf
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379.94 KB
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Author(s)
De Sole, Alberto
Hekmati, Pedram
Kac, Victor
Date Issued
May 2011
Journal
Journal of Mathematical Physics
Publisher
AIP Publishing
Citation
De Sole, Alberto et al. “Calculus Structure on the Lie Conformal Algebra Complex and the Variational Complex.” Journal of Mathematical Physics 52, 5 (May 2011): 053510 © 2011 American Institute of Physics
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1063/1.3580676
