$\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces

Abstract

We construct $\mathcal{N}=(2,2)$ supersymmetric AdS${}_3$ solutions of type IIB supergravity, dual to twisted compactifications of 4d $\mathcal{N}=4$ super-Yang--Mills on Riemann surfaces. We consider both theories with a regular topological twist, and a twist involving the isometry group of the Riemann surface. These solutions are interpreted as the near-horizon of black strings asymptoting to AdS${}_5\times {\text{S}}^5$. As evidence for the proposed duality we compute the central charge of the gravity solutions and show that it agrees with the field theory result.

27 pages + appendices. v2: Typos corrected, references added, embedding of topological disk solution into $\mathcal{N}=(2,2)$ class and its unexpected nature emphasised

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Cited by in corpus (21)

• M2-branes on Discs and Multi-Charged Spindles
• D3-branes and M5-branes wrapped on a topological disc
• A tale of (M)2 twists
• Black holes with spindles at the horizon
• Branes wrapped on orbifolds and their gravitational blocks
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Holographic duals of M5-branes on an irregularly punctured sphere
• N=(0,4) Black String Chains
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• M2-branes wrapped on a topological disk
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• AdS${}_2$ near-horizons, defects and string dualities
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Consistent truncations to 3-dimensional supergravity
• Harmonic functions and gravity localization
• Holographic Generalised Gukov-Witten Defects
• Type IIA embeddings of $D=5$ minimal gauged supergravity via Non-Abelian T-duality
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• M5-branes wrapped on four-dimensional orbifolds
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity