| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1842882 | Nuclear Physics B | 2007 | 34 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Pietro Fré, Pietro Antonio Grassi,