Abstract
We study AdS2× S4× S2× Σ2 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 Σ2. Even though a direct computation of the holographic free energy of the would-be dual CFT1 yields a divergent behaviour, it reveals the typical N3 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 AdS2 geometries describing longitudinal M2 branes in the UV, where the counting of the number of degrees of freedom correctly reproduces the expected N3/2 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.
Highlights
Focussing our attention on the case of AdS2, besides presenting technical challenges, AdS2/CFT1 has been argued to pose far more urgent conceptual puzzles [51,52,53,54]
We will start from an example of solution in type IIB supergravity belonging to the class studied in [29], whose 10d geometry is given by AdS2 ×S4 ×S2 warped over a compact Riemann surface Σ2, and firstly show how it can be obtained as the near horizon limit of a semilocalised D1-NS5-D3 intersection
The geometry of the corresponding AdS2 vacuum is non-compact, and a naive calculation of the holographic free energy of the would-be dual SCFT1 yields a divergent result. In this special set-up we will still be able to argue for the existence of a superconformal quantum mechanics (SCQM) describing this system in the IR regime, while we will show how this pathological behaviour of the free energy is cured in the UV by the emergence of deconstructed extra dimensions yielding a UV description in terms of a higher-dimensional CFT
Summary
We show that a given class of AdS2 backgrounds arising from D1-NS5-D3 brane intersections provides a holographic low energy description of M(atrix) models for M5 branes. We start discussing the brane setup in type IIB, together with the physical properties of the corresponding AdS solutions, including their holographic free energy. The brane system will be given by intersecting D0, KK5 and D4-branes, while the related near horizon geometry will still be given by the warped product of AdS2 and a non-compact 8-manifold. An. AdS2 vacuum will be obtained by taking the near horizon limit of this system and a superconformal quantum mechanics will arise in the IR limit of the QM
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