Abstract

We construct new families of mathcal{N} = (0, 4) AdS3 × S2 × {tilde{S}}^2 × S1 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 of D3-D5-NS5 branes ending on D5′-NS5′ background branes. We relate our families of solutions to previous AdS3 × S2 × CY2 and AdS3 × S3 × S2 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 AdS6 × S2 × Σ2 solution T-dual to the Brandhuber-Oz vacuum.

Highlights

  • Explicit realisations dual to AdS3 solutions with (0, 4) supercharges feature D2-D6-NS5 defect branes ending on D4-D8 bound states [5, 30], or D2-D4 defect branes ending on D6-NS5 bound states [5, 28, 29]

  • In this paper we further extend the aforementioned line of research by focussing on AdS3 solutions with N = (0, 4) supersymmetries in Type IIB string theory and their brane origin

  • The near-horizon regime associated to this bound state extends the class of N = (0, 4) AdS3 × S2 × S2 × S1 × Iz × Iρ vacua of Type IIB string theory obtained in section 2 to include D7-branes

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Summary

AdS3 from D3-NS5-D5-NS5 -D5 brane intersections

We start considering the supergravity regime of a D3-NS5-D5 bound state ending on orthogonal NS5 -D5 branes. The solution is related by T-duality to the AdS3 × S2 × T 4/Zk × Iz class of solutions constructed in [3], restricted to the massless case These solutions were obtained in the near-horizon limit of a bound state of D2-NS5-D6 branes ending on a D4-KK intersection [5]. Denoting by F(n),s, Φs and ds210,s the background fields describing the seed solution given by equations (2.1) and (2.3), associated to D3-NS5-D5 branes ending on D5 -NS5 branes, the S transformation acts as usual in Type IIB supergravity, τ = cos ξ τs − sin ξ , sin ξ τs + cos ξ. We discuss that this solution is related via T-duality to the AdS3 × S3/Zk × S2 × Iz × Iρ class of solutions constructed in [5], obtained in the near-horizon limit of a bound state of D2-D4 branes ending on a D6-NS5-KK brane system

Holographic central charge
Field theory interpretation
Central charge
Surface defects within AdS6 in Type IIB
The brane set-up
Surface defects within the T-dual of Brandhuber-Oz
Conclusions
Full Text
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