Flowing from AdS5 to AdS3 with T 1,1

Abstract

We construct supersymmetric domain wall solutions of type IIB supergravity that interpolate between AdS 5 × T 1,1 in the UV and AdS 3 × R 2 × S 2 × S 3 solutions in the IR. The R 2 factor can be replaced with a two-torus and then the solution describes a supersymmetric flow across dimensions, similar to wrapped brane solutions. While the domain wall solutions preserve (0, 2) supersymmetry, the AdS 3 solutions in the IR have an enhanced (4, 2) superconformal supersymmetry and are related by two T-dualities to the AdS 3 × S 3 × S 3 × S 1 type IIB solutions which preserve a large (4, 4) superconformal supersymmetry. The domain wall solutions exist within the N = 4 D = 5 gauged supergravity theory that is obtained from a consistent Kaluza-Klein truncation of type IIB supergravity on T 1,1 ; a feature driving the flows is that two D = 5 axion like fields, residing in the N = 4 Betti multiplet, depend linearly on the two legs of the R 2 factor.

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

“…It is worth noting that a single Hopf-fibre T-duality also results in the same supersymmetry breaking, although one can consider a linear combination of the Hopf-fibres, which preserves additional supersymmetries [72]. 16 This final observation that angular dependence gets projected out presents us with a small puzzle.…”

Betti multiplets, flows across dimensions and c-extremization

“…Finding an explicit gravitational flow usually requires the knowledge of the full 10 dimensional geometry. A rich variety of examples has been worked out in the literature, see for example [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. For classifications of AdS 3 solutions with uplift in 10d and 11d see [16] and [17].…”

“…9 If a I = −κ and for generic a I , supersymmetry is broken to N = (0, 2) [8]. The 2d R-current T R is a linear combination of the three abelian symmetries T (2d) R = I T I , where the constraint I = 2 has to be enforced.…”

N=1SUSY backgrounds with anAdSfactor from non-AbelianTduality

“…In a recent paper [20], the authors considered the construction of a supersymmetric domain wall that approaches AdS 5 × T 1,1 in the UV limit, and AdS 3 × R 2 × S 2 × S 3 in the IR limit. In this section we consider the non-abelian T-dual solution of the domain wall ansatz and see that it has as its limit the non-abelian T-dual of the AdS 5 ×T 1,1 and AdS 3 ×R 2 ×S 2 ×S 3 in the UV and IR respectively.…”

“…The study of non-abelian T-duality of AdS backgrounds was initiated in [11,19] In this article we explore the non-abelian T-duality on the type IIA supergravity solution (that is, before the abelian T-duality which gives AdS 5 ×X 5 ) of the form AdS 5 × w M 5 , where the internal manifold is obtained after a dimensional reduction of a space that consists of a 2-sphere bundle over S 2 × T 2 [18]. Another application considered relates to the background found in [20]. It consists of a domain wall with non trivial fluxes in the NS-NS and RR sectors.…”