Pure Spinors, Free Differential Algebras, and the Supermembrane

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 an...

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Autores principales: Fre', Pietro, Grassi, Pietro Antonio
Lenguaje:eng
Publicado: 2006
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2006.10.026
http://cds.cern.ch/record/964829
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author Fre', Pietro
Grassi, Pietro Antonio
author_facet Fre', Pietro
Grassi, Pietro Antonio
author_sort Fre', Pietro
collection CERN
description 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-Poincare' superalgebra to M-theory FDA. We study the solution of the pure spinor constraints in full detail.
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spelling cern-9648292023-03-14T20:08:46Zdoi:10.1016/j.nuclphysb.2006.10.026http://cds.cern.ch/record/964829engFre', PietroGrassi, Pietro AntonioPure Spinors, Free Differential Algebras, and the SupermembraneParticle Physics - TheoryThe 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-Poincare' superalgebra to M-theory FDA. We study the solution of the pure spinor constraints in full detail.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-Poincare' superalgebra to M-theory FDA. We study the solution of the pure spinor constraints in full detail.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-Poincare' superalgebra to M-theory FDA. We study the solution of the pure spinor constraints in full detail.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.hep-th/0606171CERN-PH-TH-2006-113DFTT-10-2006DISTA-2006CERN-PH-TH-2006-113DFTT-2006-10DISTA-2006oai:cds.cern.ch:9648292006-06-19
spellingShingle Particle Physics - Theory
Fre', Pietro
Grassi, Pietro Antonio
Pure Spinors, Free Differential Algebras, and the Supermembrane
title Pure Spinors, Free Differential Algebras, and the Supermembrane
title_full Pure Spinors, Free Differential Algebras, and the Supermembrane
title_fullStr Pure Spinors, Free Differential Algebras, and the Supermembrane
title_full_unstemmed Pure Spinors, Free Differential Algebras, and the Supermembrane
title_short Pure Spinors, Free Differential Algebras, and the Supermembrane
title_sort pure spinors, free differential algebras, and the supermembrane
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.nuclphysb.2006.10.026
http://cds.cern.ch/record/964829
work_keys_str_mv AT frepietro purespinorsfreedifferentialalgebrasandthesupermembrane
AT grassipietroantonio purespinorsfreedifferentialalgebrasandthesupermembrane

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