On the construction of variant supergravities in D=11, D=10

TL;DR

This paper systematically constructs and classifies various variant supergravity theories in 10 and 11 dimensions, including those related by T-duality and some not obtainable from straightforward dimensional reduction.

Contribution

It provides a geometric construction of supersymmetry laws and Lagrangians for all known variant supergravities in D=10 and D=11, including new theories not derived from eleven-dimensional origins.

Findings

Classified all variant supergravities in D=10 and D=11.

Constructed explicit supersymmetry transformations and Lagrangians.

Identified new D=10 variants not obtainable from 11D compactification.

Abstract

We construct with a geometric procedure the supersymmetry transformation laws and Lagrangian for all the ``variant'' D=11 and D=10 Type IIA supergravities. We identify into our classification the D=11 and D=10 Type IIA ``variant'' theories first introduced by Hull performing T-duality transformation on both spacelike and timelike circles. We find in addition a set of D=10 Type IIA ``variant'' supergravities that can not be obtained trivially from eleven dimensions compactifying on a circle.