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L∞ Algebras for Ext...
L∞ Algebras for Extended Geometry from Borcherds Superalgebras
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- Cederwall, Martin, 1961 (författare)
- Institute of Theoretical Physics, Goteborg,Chalmers tekniska högskola,Chalmers University of Technology,Division for Theoretical Physics, Department of Physics, Chalmers University of Technology, Gothenburg, Sweden
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- Palmkvist, Jakob, 1980 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology,Institute of Theoretical Physics, Goteborg,Division for Theoretical Physics, Department of Physics, Chalmers University of Technology, Gothenburg, Sweden
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(creator_code:org_t)
- 2019-04-26
- 2019
- Engelska.
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Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 1432-0916 .- 0010-3616. ; 369:2, s. 721-760
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Abstract
Ämnesord
Stäng
- We examine the structure of gauge transformations in extended geometry, the framework unifying double geometry, exceptional geometry, etc. This is done by giving the variations of the ghosts in a Batalin–Vilkovisky framework, or equivalently, an L∞ algebra. The L∞ brackets are given as derived brackets constructed using an underlying Borcherds superalgebra B(gr+1) , which is a double extension of the structure algebra gr. The construction includes a set of “ancillary” ghosts. All brackets involving the infinite sequence of ghosts are given explicitly. All even brackets above the 2-brackets vanish, and the coefficients appearing in the brackets are given by Bernoulli numbers. The results are valid in the absence of ancillary transformations at ghost number 1. We present evidence that in order to go further, the underlying algebra should be the corresponding tensor hierarchy algebra.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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