A locally supersymmetric SO(10, 2) invariant action for D = 12 supergravity

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Abstract

We present an action for N = 1 supergravity in 10 + 2 dimensions, containing the gauge fields of the OSp(1|64) superalgebra, i.e. one-forms B(n) with n=1,2,5,6,9,10 antisymmetric D=12 Lorentz indices and a Majorana gravitino ψ. The vielbein and spin connection correspond to B(1) and B(2) respectively. The action is not gauge invariant under the full OSp(1|64) superalgebra, but only under a subalgebra F˜ (containing the F algebra OSp(1|32)), whose gauge fields are B(2), B(6), B(10) and the Weyl projected Majorana gravitino 12(1+Γ13)ψ. Supersymmetry transformations are therefore generated by a Majorana-Weyl supercharge and, being part of a gauge superalgebra, close off-shell. The action is simply ∫STr(R6Γ) where R is the OSp(1|64) curvature supermatrix two-form, and Γ is a constant supermatrix involving Γ13 and breaking OSp(1|64) to its F˜ subalgebra. The usual Einstein-Hilbert term is included in the action.

Original languageEnglish
Article number61
JournalJournal of High Energy Physics
Volume2017
Issue number6
DOIs
Publication statusPublished - 1 Jun 2017

Keywords

  • F-Theory
  • Field Theories in Higher Dimensions
  • Supergravity Models
  • Supersymmetric Gauge Theory

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