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.

中文翻译：

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新 N$$ \mathcal{N} $$ = 1 AdS4 最大超重力真空的性质

最近使用机器学习软件对四维 N=8, SO(8) 测量超重力的标量势的临界点进行综合数值研究，发现了一个新的 N=1 真空，具有试验不变的 SO(3 ) 对称性。在该点的数值数据的指导下，我们获得了 N=8 理论的一致 SO(3)xZ2 不变截断为具有三个手性多重态的 N=1 超引力。截断标量势的临界点包括 N=1 点以及先前搜索未发现的两个新的非超对称和微扰不稳定点。研究 SO(3)xZ2 不变超引力标量子流形的结构，我们发现它可以简单地解释为 14 维 Z2^3 不变标量流形 (SU(1,1)/U( 1))^7，为此，我们发现了一个相当显着的超电势，其结构与单比特纠错 (7, 4) 汉明码相匹配。这个 14 维标量流形包含大约四分之一的已知临界点。我们还表明存在一个平滑的超对称畴壁，它在新的 N=1 AdS4 解决方案和最大超对称 AdS4 真空之间插入。使用全息术，该结果表明存在从 ABJM SCFT 到新的强相互作用共形固定点的 N=1 RG 流。我们还表明存在一个平滑的超对称畴壁，它在新的 N=1 AdS4 解决方案和最大超对称 AdS4 真空之间插入。使用全息术，该结果表明存在从 ABJM SCFT 到新的强相互作用共形固定点的 N=1 RG 流。我们还表明存在一个光滑的超对称畴壁，它在新的 N=1 AdS4 解决方案和最大超对称 AdS4 真空之间插入。使用全息术，该结果表明存在从 ABJM SCFT 到新的强相互作用共形固定点的 N=1 RG 流。