Vacua of $\omega$-deformed SO(8) supergravity

Abstract

We perform a detailed analysis of the vacua of $\omega$-deformed SO(8) supergravity in four dimensions. In particular, using Tensorflow-based numerical methods, we track how the equilibria of the theory change when varying the electric-magnetic deformation parameter $\omega$. Apart from describing various properties of different equilibria (390 in total), we show that as $\omega$ is deformed, the SO(3), N=1 vacuum of the de Wit-Nicolai theory becomes equivalent to a critical point in $U(4)⋉{\mathbb{R}}^{12}$ gauged supergravity with a known uplift in IIB supergravity. The procedure employed here to obtain a new gauging with a guaranteed equilibrium is generic and allows one to obtain further admissible noncompact gaugings via $\omega$-deformation, all of which have guaranteed critical points, and some of which may be novel upliftable solutions.

arXiv comment39 pages plus appendix

References in corpus (35)

• Lectures on Gauged Supergravity and Flux Compactifications
• Consistency of the $Ad{S}_7\times S_4$ reduction and the origin of self-duality in odd dimensions
• The maximal D=4 supergravities
• More Dual Fluxes and Moduli Fixing
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Evidence for a family of SO(8) gauged supergravity theories
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• Gauged Supergravities
• On the vacua of N = 8 gauged supergravity in 4 dimensions
• Symplectic Deformations of Gauged Maximal Supergravity
• Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions
• Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes
• All G_2 invariant critical points of maximal supergravity
• The N>2 supersymmetric AdS vacua in maximal supergravity
• Type II origin of dyonic gaugings
• The Geometry, Branes and Applications of Exceptional Field Theory
• The SU(3)-invariant sector of new maximal supergravity
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Triality, Periodicity and Stability of SO(8) Gauged Supergravity
• Fourteen new stationary points in the scalar potential of SO(8)-gauged N=8, D=4 supergravity
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• de Sitter vacua in N = 8 supergravity and slow-roll conditions
• SO(8) Supergravity and the Magic of Machine Learning
• Electric-magnetic deformations of D=4 gauged supergravities
• A Cornucopia of AdS${}_5$ Vacua
• Machine Learning $\mathcal{N}=8,D=5$ Gauged Supergravity
• On the moduli space of spontaneously broken N = 8 supergravity
• Non-semisimple and Complex Gaugings of N=16 Supergravity
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• Holographic RG Flow in a New $SO(3)\times SO(3)$ Sector of $\omega$-Deformed $SO(8)$ Gauged $\mathcal{N}=8$ Supergravity
• Introductory Lectures on Extended Supergravities and Gaugings
• Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• The many vacua of gauged extended supergravities
• New N=1 AdS${}_4$ solutions of type IIB supergravity

Cited by in corpus (2)

• Calabi-Yau Four/Five/Six-folds as ${\mathbb{P}}_{\text{w}}^n$ Hypersurfaces: Machine Learning, Approximation, and Generation
• New methods for old problems: vacua of maximal D = 7 supergravities