Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin

Jean-Pierre Derendinger, P. Marios Petropoulos, Nikolaos Prezas

Abstract

We study the class of four-dimensional N=4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. We formulate these theories using the machinery of embedding tensors, characterize the full gauge algebras and discuss several specific features of this family of gauged supergravities. We exhibit in particular a generalized duality between massive vectors and massive two-forms in four dimensions, inherited from the gauging of the shift symmetry. We show that these theories can be deduced from higher dimensions by a Scherk-Schwarz reduction, where a twist with respect to a non-compact symmetry is required. The four-dimensional generalized duality plays a crucial role in identifying the higher-dimensional ascendent.

Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin

Abstract

We study the class of four-dimensional N=4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. We formulate these theories using the machinery of embedding tensors, characterize the full gauge algebras and discuss several specific features of this family of gauged supergravities. We exhibit in particular a generalized duality between massive vectors and massive two-forms in four dimensions, inherited from the gauging of the shift symmetry. We show that these theories can be deduced from higher dimensions by a Scherk-Schwarz reduction, where a twist with respect to a non-compact symmetry is required. The four-dimensional generalized duality plays a crucial role in identifying the higher-dimensional ascendent.

Paper Structure

This paper contains 17 sections, 61 equations.

Table of Contents

  1. Introduction
  2. Reminder on ${\cal N}=4$ gauged supergravities in $D=4$
  3. Gauge algebras and the embedding tensor
  4. Lagrangian formulation
  5. Gauging the ${\cal N}=4$ axionic symmetries
  6. Electric-magnetic duality and electric gaugings
  7. Non-unimodular gaugings
  8. A specific solution with $f$'s and $\xi$'s.
  9. The gauge algebra.
  10. Lagrangian description
  11. Electric gaugings $\xi_{-I}= f_{-KLM}=0$.
  12. Non-unimodular gaugings.
  13. Stückelberg mass and dualization.
  14. Higher-dimensional origin
  15. Heterotic reduction with duality twist
  16. ...and 2 more sections