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arXiv · 1311.4883

Supersymmetric Janus Solutions in Four Dimensions

Nikolay Bobev·Krzysztof Pilch·Nicholas P. Warner
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Abstract

We use maximal gauged supergravity in four dimensions to construct the gravity dual of a class of supersymmetric conformal interfaces in the theory on the world-volume of multiple M2-branes. We study three classes of examples in which the $(1+1)$-dimensional defects preserve $(4,4)$, $(0,2)$ or $(0,1)$ supersymmetry. Many of the solutions have the maximally supersymmetric $AdS_4$ vacuum dual to the $\mathcal{N}=8$ ABJM theory on both sides of the interface. We also find new special classes of solutions including one that interpolates between the maximally supersymmetric vacuum and a conformal fixed point with $\mathcal{N}=1$ supersymmetry and $G_2$ global symmetry. We find another solution that interpolates between two distinct conformal fixed points with $\mathcal{N}=1$ supersymmetry and $G_2$ global symmetry. In eleven dimensions, this $G_2$ to $G_2$ solution corresponds to a domain wall across which a magnetic flux reverses orientation.

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Nikolay Bobev, Krzysztof Pilch, Nicholas P. Warner. 2013-11-19. Supersymmetric Janus Solutions in Four Dimensions. https://doi.org/10.1007/jhep06(2014)058

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