On the hidden symmetries of $D=11$ supergravity
Lucrezia Ravera
TL;DR
This paper explores the hidden superalgebra structure underlying 11-dimensional supergravity, revealing new symmetries and their relation to known superalgebras relevant in supergravity and superstring theories.
Contribution
It uncovers a hidden superalgebra in D=11 supergravity and clarifies the role of a nilpotent fermionic generator in the theory's symmetry structure.
Findings
Identification of a hidden superalgebra in D=11 supergravity
Explanation of the role of a nilpotent fermionic generator
Relation between the hidden superalgebra and superstring relevant superalgebras
Abstract
We report on recent developments regarding the supersymmetric Free Differential Algebra describing the vacuum structure of supergravity. We focus on the emergence of a hidden superalgebra underlying the theory, explaining the group-theoretical role played by the nilpotent fermionic generator naturally appearing for consistency of the construction. We also discuss the relation between this hidden superalgebra and other superalgebras of particular relevance in the context of supergravity and superstring, involving a fermionic generator with 32 components.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Black Holes and Theoretical Physics