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

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	1-34
Number of pages	34
Journal	Nuclear Physics B
Volume	763
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2006.10.026
Publication status	Published - 12 Feb 2007

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10.1016/j.nuclphysb.2006.10.026

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title = "Pure spinors, free differential algebras, and the supermembrane",

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.",

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AU - Grassi, Pietro Antonio

N1 - 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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N2 - 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.

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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JO - Nuclear Physics B

JF - Nuclear Physics B

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ER -

Pure spinors, free differential algebras, and the supermembrane

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