Current Algebra Functors and Extensions
Nov 2, 201217 pages
Published in:
- Rev.Math.Phys. 25 (2013) 1350012
- Published: 2013
e-Print:
- 1211.0487 [math.DG]
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Abstract: (WSP)
We show how the fundamental cocycles on current Lie algebras and the Lie algebra of symmetries for the sigma model are obtained via the current algebra functors introduced in [A. Alekseev and P. Severa, Equivariant cohomology and current algebras, Confluentes Math. 4 (2012) 1250001, 40 pp.]. We present current group extensions integrating some of these current Lie algebra extensions.Note:
- 19 pages
- Current algebra
- sigma model
- Lie algebra extension
- differential graded Lie algebra
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