A new N=1 AdS4 Vacuum of Maximal Supergravity

Abstract

The recent comprehensive numerical study of critical points of the scalar potential of four-dimensional N=8, SO(8) gauged supergravity using Machine Learning software has led to a discovery of a new N=1 vacuum with a triality-invariant SO(3) symmetry. Guided by the numerical data for that point, we obtain a consistent SO(3)xZ2-invariant truncation of the N=8 theory to an N=1 supergravity with three chiral multiplets. Critical points of the truncated scalar potential include both the N=1 point as well as two new non-supersymmetric and perturbatively unstable points not found by previous searches. Studying the structure of the submanifold of SO(3)xZ2-invariant supergravity scalars, we find that it has a simple interpretation as a submanifold of the 14-dimensional Z2^3-invariant scalar manifold (SU(1,1)/U(1))^7, for which we find a rather remarkable superpotential whose structure matches the single bit error correcting (7, 4) Hamming code. This 14-dimensional scalar manifold contains approximately one quarter of the known critical points. We also show that there exists a smooth supersymmetric domain wall which interpolates between the new N=1 AdS4 solution and the maximally supersymmetric AdS4 vacuum. Using holography, this result indicates the existence of an N=1 RG flow from the ABJM SCFT to a new strongly interacting conformal fixed point in the IR.

39 pages

References in corpus (14)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Charting the landscape of N=4 flux compactifications
• Symplectic Deformations of Gauged Maximal Supergravity
• E_7 and the tripartite entanglement of seven qubits
• Seven-Disk Manifold, alpha-attractors and B-modes
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
• Four curious supergravities
• The many vacua of gauged extended supergravities
• Mapping the vacuum structure of gauged maximal supergravities: an application of high-performance symbolic algebra

Cited by in corpus (10)

• Machine Learning Calabi-Yau Hypersurfaces
• The Holographic Conformal Manifold of 3d $\mathcal{N}=2$ $S$-fold SCFTs
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• M-theory Cosmology, Octonions, Error Correcting Codes
• New AdS${}_4$ Vacua in Dyonic ISO(7) Gauged Supergravity
• Vacua of $\omega$-deformed SO(8) supergravity
• Old and new vacua of 5D maximal supergravity
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• S-folds and $Ad{S}_3$ flows from the D3-brane
• From Binary Error Correcting Codes to a Relation Between Maximal D=4 and D=3 Supergravities