Gauged supergravity algebras from twisted tori compactifications with fluxes

TL;DR

This paper explores how twisted tori compactifications with fluxes in M-theory and type II string theories lead to specific gauge algebras, revealing their structure and symmetries.

Contribution

It derives the gauge algebras from twisted tori compactifications with fluxes, detailing their symplectic embedding and algebraic structure in duality symmetries.

Findings

Gauge algebras are non-abelian and semidirect products of subgroups of SL(7) or SL(p-3) x SL(9-p).

The gauge groups involve nilpotent subalgebras of e_{7(7)} or so(6,6).

Effective theories exhibit specific algebraic and symmetry features.

Abstract

Using the equivalence between Scherk-Schwarz reductions and twisted tori compactifications, we discuss the effective theories obtained by this procedure from M-theory and N =4 type II orientifold constructions with Neveu-Schwarz and Ramond-Ramond form fluxes turned on. We derive the gauge algebras of the effective theories describing their general features, in particular the symplectic embedding in the duality symmetries of the theory. The generic gauge theory is non-abelian and its gauge group is given by the semidirect product of subgroups of SL(7) or SL(p-3) x SL(9-p) for p=3,...,9, with generators describing nilpotent subalgebras of e_{7(7)} or so(6,6) (in M and type II theories respectively).