Holographic $\frac{1}{2}$-BPS surface defects in ABJM

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Main Authors: Lozano, Yolanda, Macpherson, Niall T., Petri, Nicolò, Ramírez, Anayeli
Format: Preprint
Published: 2024
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author Lozano, Yolanda
Macpherson, Niall T.
Petri, Nicolò
Ramírez, Anayeli
author_facet Lozano, Yolanda
Macpherson, Niall T.
Petri, Nicolò
Ramírez, Anayeli
contents We study the class of $\text{AdS}_3\times \mathbb{CP}^3$ solutions to massive Type IIA supergravity with $\mathfrak{osp}(6|2)$ superconformal algebra recently constructed in arXiv:2304.12207 [hep-th]. These solutions are foliations over an interval preserving $\mathcal{N}=(0,6)$ supersymmetry in two dimensions, that in the massless limit can be mapped to the $\text{AdS}_4\times \mathbb{CP}^3$ solution of ABJM/ABJ. We show that in the massive case extra NS5-D8 branes, that we interpret as $\frac{1}{2}$-BPS surface defect branes within the ABJ theory, backreact in the geometry and turn one of the 3d field theory directions onto an energy scale, generating a flow towards a 2d CFT. We construct explicit quiver field theories that we propose flow in the IR to the $(0,6)$ SCFTs dual to the solutions. Finally, we show that the $\text{AdS}_3$ solutions realise geometrically, in terms of large gauge transformations, an extension to the massive case of Seiberg duality in ABJ theories proposed in the literature.
format Preprint
id arxiv_https___arxiv_org_abs_2404_17469
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Holographic $\frac{1}{2}$-BPS surface defects in ABJM
Lozano, Yolanda
Macpherson, Niall T.
Petri, Nicolò
Ramírez, Anayeli
High Energy Physics - Theory
We study the class of $\text{AdS}_3\times \mathbb{CP}^3$ solutions to massive Type IIA supergravity with $\mathfrak{osp}(6|2)$ superconformal algebra recently constructed in arXiv:2304.12207 [hep-th]. These solutions are foliations over an interval preserving $\mathcal{N}=(0,6)$ supersymmetry in two dimensions, that in the massless limit can be mapped to the $\text{AdS}_4\times \mathbb{CP}^3$ solution of ABJM/ABJ. We show that in the massive case extra NS5-D8 branes, that we interpret as $\frac{1}{2}$-BPS surface defect branes within the ABJ theory, backreact in the geometry and turn one of the 3d field theory directions onto an energy scale, generating a flow towards a 2d CFT. We construct explicit quiver field theories that we propose flow in the IR to the $(0,6)$ SCFTs dual to the solutions. Finally, we show that the $\text{AdS}_3$ solutions realise geometrically, in terms of large gauge transformations, an extension to the massive case of Seiberg duality in ABJ theories proposed in the literature.
title Holographic $\frac{1}{2}$-BPS surface defects in ABJM
topic High Energy Physics - Theory
url https://arxiv.org/abs/2404.17469