Abstract

We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start by summarising the classification of AdS3×S2 solutions in massive type IIA supergravity with (0, 4) supersymmetries and the construction of their 2D dual quiver CFTs. These theories are the seed for further developments that we review next. First, we construct a new class of AdS3 solutions in M-theory that describe M-strings in M5-brane intersections. Second, we generate a new class of AdS2×S3 solutions in massive IIA with four supercharges that we interpret as describing backreacted baryon vertices within the 5D N=1 QFT living in D4-D8 branes. Third, we construct two classes of AdS2 solutions in Type IIB. The first are dual to discrete light-cone quantised quantum mechanics living in null cylinders. The second class is interpreted as dual to backreacted baryon vertices within 4D N=2 QFT living in D3-D7 branes. Explicit dual quiver field theories are given for all classes of solutions. These are used to compute the central charges of the CFTs that are shown to agree with the holographic expressions.

Highlights

  • Lower dimensional CFTs 1 play a prominent role in the microscopic description of black holes and black strings

  • We review recent developments in the study of the AdS/CFT correspondence in lower dimensions

  • We generate a new class of AdS2 × S3 solutions in massive IIA with four supercharges that we interpret as describing backreacted baryon vertices within the 5D N = 1 QFT living in D4-D8 branes

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Summary

Introduction

Lower dimensional CFTs 1 play a prominent role in the microscopic description of black holes and black strings. Important progress in our understanding of the AdS3/CFT2 correspondence was provided by the recent constructions in [26] These are solutions to massive Type IIA supergravity with N = (0, 4) supersymmetries (and SU(2) R-symmetry) that are realised as fibrations of AdS3× S2× M4 on an interval, with M4 either a CY2 or a 4d Kähler manifold. New classes of AdS3 solutions in M-theory with the same number of supersymmetries have been constructed in [34], which provide the holographic duals of the configurations of M-strings described in [55,56] From the latter, new classes of solutions in massless Type IIA have been generated [36], which allow for an explicit defect interpretation as surface quivers embedded in a 6D CFT.

Two-Dimensional Dual CFTs
AdS3 Solutions in M-Theory
Dual Superconformal Quantum Mechanics
AdS2 Solutions in Type IIB
Type A
Type B
Discussion
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