New $$ \mathcal{N} $$ = (0, 4) AdS3 near-horizons in Type IIB

Abstract

We construct new families of $$ \mathcal{N} $$ N = (0, 4) AdS3 × S2 × $$ {\tilde{S}}^2 $$ 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.

New IIB intersecting brane solutions yielding supersymmetric AdS3 vacua

“…We argued that it did not admit any special near-horizon geometry featuring lower-dimensional AdS factors. However, it was already observed in [31] that more general intersections of this type do yield AdS 3 vacua in Type IIB supergravity with N = 2 supersymmetry in 3D. The explicit brane setup considered there is given in table 3 and it is originally obtained by performing a single T-duality on the (massive) Type IIA setup given by D2 -D6 -NS5 -D4 -D8 -KK5.…”

“…The explicit brane setup considered there is given in table 3 and it is originally obtained by performing a single T-duality on the (massive) Type IIA setup given by D2 -D6 -NS5 -D4 -D8 -KK5. In [31] both the supergravity brane solution and the dual 2d quivers are discussed.…”

“…In this paper we want to consider this very same brane setup, but, as opposed to [31], we do not want to keep any link with the (massive) IIA description. As a result, we will obtain a generalization of the brane solution described there, where no isometric circle is left in order to perform the T-duality back to Type IIA.…”

“…) [31]. 8 The generalization consists in taking H as a general harmonic function on Σ, rather than just being linear in one of the two coordinates, say x 1 .…”

“…In particular, some of these vacua preserving N = (4, 0) SUSY are related to (massive) IIA via a T-duality. These latter backgrounds were extensively studied in [26][27][28][29][30][31]. We shall rely on the technique developed in [32] for constructing supergravity solutions describing semilocalized brane intersections, i.e.…”