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

Journal of High Energy Physics

Leonardo Castellani¹ 

[1] Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale;

关键词: Supergravity Models;    F-Theory;    Field Theories in Higher Dimensions;    Supersymmetric Gauge Theory;   

DOI  :  10.1007/JHEP06(2017)061

来源: DOAJ

【 摘 要 】

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 ˜ $$ \tilde{F} $$ (containing the F algebra OSp(1|32)), whose gauge fields are B (2), B (6), B (10) and the Weyl projected Majorana gravitino 1 2 1 + Γ 13 ψ $$ \frac{1}{2}\left(1+{\Gamma}_{13}\right)\psi $$ . 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(R 6 Γ) 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 ˜ $$ \tilde{F} $$ subalgebra. The usual Einstein-Hilbert term is included in the action.

【 授权许可】

Unknown