New $\mathcal{N}=(0,4)$ AdS${}_3$ near-horizons in Type IIB

Abstract

We construct new families of $\mathcal{N}=(0,4)$ ${\mathrm{AdS}}_3\times S^2\times {\tilde{S}}^2\times S^1$ backgrounds fibred over a 2d Riemann surface in Type IIB string theory. These solutions are obtained by extracting the near-horizon limit of D3-brane box configurations, consisting on D3-D5-NS5 branes ending on D5'-NS5' background branes. We relate our families of solutions to previous ${\mathrm{AdS}}_3\times S^2\times {\text{CY}}_2$ and ${\mathrm{AdS}}_3\times S^3\times S^2$ solutions to Type IIA recently constructed in the literature. We construct explicit 2d quiver CFTs associated to the D3-brane box configurations, and check that the central charges match the holographic result. We extend our solutions to include D7-branes, and show that a subclass of these solutions can be interpreted in terms of D3-D5-NS5 defect branes embedded in a 5d fixed point theory. This is explicitly realised by linking our solutions to a 6d domain wall that asymptotes locally the ${\mathrm{AdS}}_6\times S^2\times {\Sigma }_2$ solution T-dual to the Brandhuber-Oz vacuum.

40 pages, 6 figures. v2: references added, connection with D3 brane boxes emphasised

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Cited by in corpus (1)

• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry