Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Potential and mass-matrix in gauged N=4 supergravity

M. de Roo, S. Panda, M. Trigiante, D. B. Westra

TL;DR

The paper analyzes gauged N=4 supergravity with six matter multiplets, focusing on the full scalar potential and the mass spectrum across all scalars. By examining all semi-simple gauge groups, it identifies nine candidates that admit a positive extremum at the origin of the scalar manifold and computes the associated mass matrices. Across these cases, a positive cosmological constant can be achieved, but tachyonic directions persist in either the matter sector or the SU(1,1) scalar sector, indicating instability of all de Sitter extrema found. The work highlights patterns in the spectrum, Goldstone modes, and the relation between group embedding and stability, and points to further avenues for connecting these models to higher-dimensional theories and broader supergravity frameworks.

Abstract

We discuss the potential and mass-matrix of gauged N=4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars. We consider all semi-simple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. Although we find in a number of cases an extremum with a positive cosmological constant, these are not stable under fluctuations of all scalar fields.

Potential and mass-matrix in gauged N=4 supergravity

TL;DR

The paper analyzes gauged N=4 supergravity with six matter multiplets, focusing on the full scalar potential and the mass spectrum across all scalars. By examining all semi-simple gauge groups, it identifies nine candidates that admit a positive extremum at the origin of the scalar manifold and computes the associated mass matrices. Across these cases, a positive cosmological constant can be achieved, but tachyonic directions persist in either the matter sector or the SU(1,1) scalar sector, indicating instability of all de Sitter extrema found. The work highlights patterns in the spectrum, Goldstone modes, and the relation between group embedding and stability, and points to further avenues for connecting these models to higher-dimensional theories and broader supergravity frameworks.

Abstract

We discuss the potential and mass-matrix of gauged N=4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars. We consider all semi-simple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. Although we find in a number of cases an extremum with a positive cosmological constant, these are not stable under fluctuations of all scalar fields.

Paper Structure

This paper contains 20 sections, 84 equations.

Table of Contents

  1. Introduction
  2. The potential, its derivatives, and the mass-matrix
  3. The potential
  4. The first derivatives of the potential
  5. The second derivatives of the potential
  6. Masses of scalar and vector fields
  7. Semi-simple gauge groups
  8. $SO(2,1)_+^3\otimes SO(3)_+$
  9. $SO(2,1)_+^2\otimes SO(2,1)_-^2$
  10. $SO(3,1)_+\otimes SO(2,1)_+\otimes SO(2,1)_-$
  11. $SO(3,1)_+\otimes SO(3,1)_+$
  12. $SO(3)_-^2\otimes SO(3)_+^2$
  13. $SO(3,1)_-\otimes SO(3)_-\otimes SO(3)_+$
  14. $SO(3,1)_-\otimes SO(3,1)_-$
  15. ${\rm SL}(3,\mathbb{R})_-\otimes {\rm SO}(3)_-$
  16. ...and 5 more sections