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arXiv · 2109.04479

Finding $AdS^{5} \times S^{5}$ in 2+1 dimensional SCFT physics

Mark Van Raamsdonk·Chris Waddell
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Abstract

We study solutions of type IIB string theory dual to ${\cal N}=4$ supersymmetric Yang-Mills theory on half of $\mathbb{R}^{3,1}$ coupled to holographic three-dimensional superconformal field theories (SCFTs) at the edge of this half-space. The dual geometries are asymptotically $AdS^5 \times S^5$ with boundary geometry $\mathbb{R}^{2,1} \times \mathbb{R}^+$, with a geometrical end-of-the-world (ETW) brane cutting off the other half of the asymptotic region of the would-be Poincar\'e $AdS^5 \times S^5$. We show that by choosing the 3D SCFT appropriately, this ETW brane can be pushed arbitrarily far towards the missing asymptotic region, recovering the "missing" half of Poincar\'e $AdS^5 \times S^5$. We also show that there are 3D SCFTs whose dual includes a wedge of Poincar\'e $AdS^5 \times S^5$ with an angle arbitrarily close to $\pi$, with geometrical ETW branes on either side.

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Mark Van Raamsdonk, Chris Waddell. 2021-09-09. Finding $AdS^{5} \times S^{5}$ in 2+1 dimensional SCFT physics. https://doi.org/10.1007/jhep11(2021)145

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