Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2020)099
Keywords
AdS-CFT Correspondence; Supergravity Models
Categories
Funding
- FWO [G0F9516N]
- KU Leuven C1 grant [ZKD1118 C16/16/005]
- DOE [DE-SC0011687]
- Mainz Institute for Theoretical Physics (MITP) of the DFG Cluster of Excellence PRISMA+ [39083149]
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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 in [1] 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) x Z(2)-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) x Z(2)-invariant supergravity scalars, we find that it has a simple interpretation as a submanifold of the 14-dimensional Z(2)(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 AdS(4) solution and the maximally supersymmetric AdS 4 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.
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