Four curious supergravities

TL;DR

This paper explores four unique supergravity theories with varying degrees of supersymmetry and scalar coset ranks, highlighting their properties, origins from M-theory, and connections to division algebras and black-hole/qubit correspondence.

Contribution

It introduces four supergravities with unusual properties, including their coupling to supermembranes, origins from specific M-theory compactifications, and their relation to division algebras and quantum information theory.

Findings

They exhibit minimal supersymmetry with maximal scalar coset rank.

They couple naturally to supermembranes and admit these as solutions.

They have vanishing on-shell trace anomaly.

Abstract

We consider four supergravities with 16+16, 32+32, 64+64, 128+128 degrees of freedom displaying some curious properties: (1) They exhibit minimal supersymmetry (N=1, 2, 2, 1) but maximal rank (r=7, 6, 4, 0) of the scalar coset in D=4, 5, 7, 11. (2) They couple naturally to supermembranes and admit these membranes as solutions. (3) Although the D=4, 5, 7 supergravities follow from truncating the maximally supersymmetric ones, there nevertheless exist M-theory compactifications with G2, SU(3), SU(2) holonomy having these supergravities as their massless sectors. (4) They reduce to N=1, 2, 4, 8 theories all with maximum rank 7 in D=4 which (5) correspond to 0, 1, 3, 7 lines of the Fano plane and hence admit a division algebra (R,C,H,O) interpretation consistent with the black-hole/qubit correspondence, (6) are generalized self-mirror and hence (7) have vanishing on-shell trace anomaly.