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Evidence for a family of SO(8) gauged supergravity theories

G. Dall'Agata, G. Inverso, M. Trigiante

TL;DR

Using tensor classifiers, it is shown that there is a one-parameter family of inequivalent SO(8) gauged supergravity theories, and the couplings of such models are briefly discussed.

Abstract

In this note we discuss the classification of duality orbits of N = 8 gauged supergravity models. Using tensor classifiers, we show that there is a one-parameter family of inequivalent SO(8) gauged supergravity theories. We briefly discuss the couplings of such models and show that, although the maximally symmetric vacuum has the same quadratic spectrum, the supersymmetry transformations, the couplings and the scalar potential are parameter dependent. We also comment on the possible M-theory uplift and on the meaning of the parameter for the dual gauge theories.

Evidence for a family of SO(8) gauged supergravity theories

TL;DR

Using tensor classifiers, it is shown that there is a one-parameter family of inequivalent SO(8) gauged supergravity theories, and the couplings of such models are briefly discussed.

Abstract

In this note we discuss the classification of duality orbits of N = 8 gauged supergravity models. Using tensor classifiers, we show that there is a one-parameter family of inequivalent SO(8) gauged supergravity theories. We briefly discuss the couplings of such models and show that, although the maximally symmetric vacuum has the same quadratic spectrum, the supersymmetry transformations, the couplings and the scalar potential are parameter dependent. We also comment on the possible M-theory uplift and on the meaning of the parameter for the dual gauge theories.

Paper Structure

This paper contains 5 sections, 19 equations, 1 figure.

Table of Contents

  1. Maximal Supergravity
  2. Embedding Tensor and Duality Orbits
  3. SO(8)$_c$ Gauging
  4. Couplings of SO$(8)_c$
  5. Comments

Figures (1)

  • Figure 1: (Color online) Scalar potential of the G$_2$ truncation for $\omega = 0$ (left) and for $\omega = \pi/8$ (right). The red dot is the SO(8) vacuum, the blue squares are vacua with SO(7) symmetry and orange triangles represent vacua with G$_2$ residual gauge symmetry. New SO(7) and G$_2$ vacua appear with respect to the $\omega = 0$ case.