Pure spinors, free differential algebras, and the supermembrane

Pietro Fré; Pietro Antonio Grassi

doi:10.1016/j.nuclphysb.2006.10.026

Pure spinors, free differential algebras, and the supermembrane

Pietro Fré, Pietro Antonio Grassi

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

The Lagrangian formalism for the supermembrane in any 11d supergravity background is constructed in the pure spinor framework. Our gauge-fixed action is manifestly BRST, supersymmetric, and 3d Lorentz invariant. The relation between the Free Differential Algebras (FDA) underlying 11d supergravity and the BRST symmetry of the membrane action is exploited. The "gauge-fixing" has a natural interpretation as the variation of the Chevalley cohomology class needed for the extension of 11d super-Poincaré superalgebra to M-theory FDA. We study the solution of the pure spinor constraints in full detail.

Lingua originale	Inglese
pagine (da-a)	1-34
Numero di pagine	34
Rivista	Nuclear Physics B
Volume	763
Numero di pubblicazione	1-2
DOI	https://doi.org/10.1016/j.nuclphysb.2006.10.026
Stato di pubblicazione	Pubblicato - 12 feb 2007

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10.1016/j.nuclphysb.2006.10.026

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abstract = "The Lagrangian formalism for the supermembrane in any 11d supergravity background is constructed in the pure spinor framework. Our gauge-fixed action is manifestly BRST, supersymmetric, and 3d Lorentz invariant. The relation between the Free Differential Algebras (FDA) underlying 11d supergravity and the BRST symmetry of the membrane action is exploited. The {"}gauge-fixing{"} has a natural interpretation as the variation of the Chevalley cohomology class needed for the extension of 11d super-Poincar{\'e} superalgebra to M-theory FDA. We study the solution of the pure spinor constraints in full detail.",

author = "Pietro Fr{\'e} and Grassi, {Pietro Antonio}",

note = "Funding Information: This work is supported in part by the European Union RTN contract MRTN-CT-2004-005104 and by the Italian Ministry of University (MIUR) under contracts PRIN 2005-024045 and PRIN 2005-023102. ",

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AU - Grassi, Pietro Antonio

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AB - The Lagrangian formalism for the supermembrane in any 11d supergravity background is constructed in the pure spinor framework. Our gauge-fixed action is manifestly BRST, supersymmetric, and 3d Lorentz invariant. The relation between the Free Differential Algebras (FDA) underlying 11d supergravity and the BRST symmetry of the membrane action is exploited. The "gauge-fixing" has a natural interpretation as the variation of the Chevalley cohomology class needed for the extension of 11d super-Poincaré superalgebra to M-theory FDA. We study the solution of the pure spinor constraints in full detail.

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Pure spinors, free differential algebras, and the supermembrane

Abstract

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