Geometry and holography of AdS2×S2: towards the field theory dual
Abstract
We take a first step in identifying the superconformal quantum mechanics dual to supersymmetric AdS2×S2 solutions. We focus on the Type IIB solutions of the form AdS2×S2×CY2×Σ that preserve eight supercharges, with Σ a two-dimensional space parametrised by (x1,x2), and read off their brane content, a D1-D5-NS5 intersection with D3 and D7 flavour branes. We propose that their dual 𝒩=4 quantum mechanics is organised over a two-dimensional lattice of cells in Σ. Namely, it consists of copies of the linear quiver along x1 dual to the U(1)-invariant solutions of the class, one for each interval along x2, with ranks given by the D1 and D5 charges of the corresponding cell. Its central charge agrees with the holographic one at leading order. We show that the family of SL(2,ℝ) non-Abelian T-duals of the AdS3×S2×CY2 solutions of massive Type IIA supergravity, constructed in previous work, belongs to this class, as does the SL(2,ℝ)×SU(2) non-Abelian T-dual of AdS3×S3×CY2, and work both out in detail. For both we propose global completions that introduce additional D3 and D7 branes. Along x2 we interpret the fundamental strings stretched between the colour branes and the additional D3 and D7 branes as baryon vertices. Finally, we extend this proposal from the non-Abelian T-duals to the solutions of the class whose defining functions factorise in x1 and x2, including those in which the AdS2 and S2 factors have the same warp factor.
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BibTeX
@misc{rojas2026geometry,
title = {{Geometry and holography of $\mathrmAdS_2\times\mathrmS^2$: towards the field theory dual}},
author = {Miroslava Mosso Rojas and Anayeli Ramirez},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18344},
eprint = {2610.18344},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18344},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometry and holography of AdS_2×S^2: towards the field theory dual
AU - Miroslava Mosso Rojas
AU - Anayeli Ramirez
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.18344
UR - https://arxiv.org/abs/2610.18344
AB - We take a first step in identifying the superconformal quantum mechanics dual to supersymmetric AdS_2×S^2 solutions. We focus on the Type IIB solutions of the form AdS_2×S^2×CY_2×Σ that preserve eight supercharges, with Σ a two-dimensional space parametrised by (x_1,x_2), and read off their brane content, a D1-D5-NS5 intersection with D3 and D7 flavour branes. We propose that their dual 𝒩=4 quantum mechanics is organised over a two-dimensional lattice of cells in Σ. Namely, it consists of copies of the linear quiver along x_1 dual to the U(1)-invariant solutions of the class, one for each interval along x_2, with ranks given by the D1 and D5 charges of the corresponding cell. Its central charge agrees with the holographic one at leading order. We show that the family of SL(2,ℝ) non-Abelian T-duals of the AdS_3×S^2×CY_2 solutions of massive Type IIA supergravity, constructed in previous work, belongs to this class, as does the SL(2,ℝ)×SU(2) non-Abelian T-dual of AdS_3×S^3×CY_2, and work both out in detail. For both we propose global completions that introduce additional D3 and D7 branes. Along x_2 we interpret the fundamental strings stretched between the colour branes and the additional D3 and D7 branes as baryon vertices. Finally, we extend this proposal from the non-Abelian T-duals to the solutions of the class whose defining functions factorise in x_1 and x_2, including those in which the AdS_2 and S^2 factors have the same warp factor.
ER -