Published February 12, 2007
| Version v1
Journal article
Pure spinors, free differential algebras, and the supermembrane
Creators
- 1. Dipartimento di Fisica Teorica, Universita di Torino, and INFN-Sezione di Torino, Via P. Giuria 1, I-10125 Turin (Italy)
- 2. Centro Studi e Ricerche E. Fermi, Compendio Viminale, I-00184 Rome (Italy) and DISTA, Universita del Piemonte Orientale, and INFN-Sezione di Torino, Via Bellini 25/G, Alessandria 15100 (Italy) and CERN, Theory Unit, CH-1211 Geneva 23 (Switzerland)
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
Additional details
Identifiers
- DOI
- 10.1016/j.nuclphysb.2006.10.026;
- arXiv
- arXiv:hep-th/0606171v1;
- PII
- S0550-3213(06)00861-3;
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 763
- Journal Issue
- 1-2
- Journal Page Range
- p. 1-34
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39027332
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; BRANES; LAGRANGIAN FUNCTION; LORENTZ INVARIANCE; M-THEORY; MATHEMATICAL SOLUTIONS; SPINORS; SUPERGRAVITY; SUPERSYMMETRY; VARIATIONS
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICS; SYMMETRY; UNIFIED-FIELD THEORIES
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.