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.

arXiv comment40 pages, 6 figures. v2: references added, connection with D3 brane boxes emphasised

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• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• On Type IIA AdS${}_3$ solutions and massive GK geometries
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• Line defects as brane boxes in Gaiotto-Maldacena geometries
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• On generalised D1-D5 near horizons and their spectra
• The conformal brane-scan: an update
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries