AdS3 solutions in massive IIA, defect CFTs and T-duality

Macpherson

Núñez

et al. 2020

Self Cite

257

We study AdS 3 × S 2 solutions in massive IIA that preserve small N = (4, 0) supersymmetry in terms of an SU(2)-structure on the remaining internal space. We find two new classes of solutions that are warped products of the form AdS 3 ×S 2 ×M 4 ×R. For the first, M 4 =CY 2 and we find a generalisation a D4-D8 system involving possible additional branes. For the second, M 4 need only be Kahler, and we find a generalisation of the T-dual of solutions based on D3branes wrapping curves in the base of an elliptically fibered Calabi-Yau 3-fold. Within these classes we find many new locally compact solutions that are foliations of AdS 3 × S 2 × CY 2 over an interval, bounded by various D brane and O plane behaviours. We comment on how these local solutions may be used as the building blocks of infinite classes of global solutions glued together with defect branes. Utilising T-duality we find two new classes of AdS 3 × S 3 × M 4 solutions in IIB. The first backreacts D5s and KK monopoles on the D1-D5 near horizon. The second is a generalisation of the solutions based on D3-branes wrapping curves in the base of an elliptically fibered CY 3 that includes non trivial 3-form flux.

Section: Summary Of This Sectionmentioning

confidence: 99%

AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

Macpherson

Núñez

et al. 2020

Self Cite

257

“…From all the possibilities to end the space we focus on solutions whose last interval's functions are given by (2.13). The non-compact solution withĥ 4 ∼ h 8 ∼ u ∼ ρ all over the space will be discussed in detail in [50].…”

Section: The ρ-Intervalmentioning

confidence: 99%

Two dimensional $$ \mathcal{N} $$ = (0, 4) quivers dual to AdS3 solutions in massive IIA

Macpherson

Núñez

et al. 2020

Self Cite

230

In this paper we discuss an infinite family of new solutions in massive Type IIA supergravity with AdS 3 ×S 2 factors, preserving N = (0, 4) SUSY. After studying geometrical aspects of the backgrounds we propose a duality with a precise family of quivers that flow to (0,4) fixed points at low energies. These quivers consist on two families of (4,4) linear quivers coupled by matter fields. We present various tests of our proposal.Dedicated to the memory of Steven S. Gubser. 1 ylozano@uniovi.es 2

“…This strongly suggests that a similar description should be at play for the AdS 2 solution. As in similar examples in which non-Abelian T-duality has been applied to holography [83][84][85][86][87][88][89], the solution constructed through non-Abelian T-duality would not be describing the same physics as the type IIA seed solution, which would be consistent with the fact that non-Abelian T-duality has not been proved to be a string theory symmetry [90,91].…”

Section: Uplift To M-theorymentioning

confidence: 83%

Holographic description of M-branes via AdS2

Dibitetto

Petri

et al. 2020

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We study AdS 2 × S 4 × S 2 × Σ 2 solutions in type IIB string theory arising from D1 -D3 -NS5 brane intersections. These backgrounds enjoy sixteen supercharges and the corresponding internal geometry is non-compact due to the specific form of the warping w.r.t. the Riemann surface Σ 2 . Even though a direct computation of the holographic free energy of the would-be dual CFT 1 yields a divergent behaviour, it reveals the typical N 3 scaling of a 6d theory upon introducing a hard cut-off. We claim that such geometries may be interpreted as the gravity duals of M(atrix) models describing an IR phase of the (2, 0) theory of M5 branes, in presence of momentum and NUT charges. We discuss parallel AdS 2 geometries describing longitudinal M2 branes in the UV, where the counting of the number of degrees of freedom correctly reproduces the expected N 3/2 behaviour of the dual field theory. These geometries provide explicit examples where deconstructed extra dimensions yield well-defined UV descriptions in terms of higher-dimensional CFTs.