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arXiv · 2503.23585

$\mathcal{N}=6$ supersymmetric AdS$_2 \times \mathbb{CP}^3\times \Sigma_2 $

Andrea Conti·Yolanda Lozano·Niall T. Macpherson
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Abstract

We perform a complete classification of AdS$_2$ solutions of Type II supergravity realising $\mathcal{N}=6$ supersymmetry and OSp$(6|2)$ superconformal symmetry on backgrounds that are foliations of AdS$_2 \times \mathbb{CP}^3$ over a Riemann surface $\Sigma_2$. Such solutions only exist in type IIB supergravity and are in 1 to 1 correspondence with a fourth order PDE that can be locally solved in terms of two holomorphic functions. Particular solutions in the class are the T-duals of the $\text{AdS}_3\times \mathbb{CP}^3$ and $\text{AdS}_2\times \text{S}^7$ solutions to massive Type IIA supergravity found in the literature. We discuss the field theory interpretation of the two sub-classes of solutions related to $\text{AdS}_3\times \mathbb{CP}^3$ by Abelian and non-Abelian T-duality, which provide explicit examples for the Riemann surface an annulus or a strip. In the second case we interpret the solutions as holographic duals to baryon vertex configurations realised in D2-brane box models.

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Andrea Conti, Yolanda Lozano, Niall T. Macpherson. 2025-03-30. $\mathcal{N}=6$ supersymmetric AdS$_2 \times \mathbb{CP}^3\times \Sigma_2 $. https://arxiv.org/abs/2503.23585

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