The holographic viewpoint

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Table of contents

Introduction
I 3dN = 4 Superconformal Theories and type IIB Supergravity Duals
1 3d N = 4 Superconformal Theories
1.1 N = 4 supersymmetric gauge theories in three dimensions
1.2 Linear quivers and their Brane Realizations
1.3 Moduli Space and Symmetries
2 Holographic Duals: IIB Supergravity on AdS4 × S2 × ˆ S2 n (2)
2.1 The supergravity solutions
2.2 Holographic Dictionary
II String Theory embeddings of Massive AdS4 Gravity and Bimetric Models
3 Massive AdS4 gravity from String Theory
3.1 The holographic viewpoint
3.2 Higgsing in Representation theory
3.3 Massive spin-2 on AdS4 ×M6
3.4 Conclusions and perspectives
4 Stringy AdS4 Bigravity 45
4.1 Introduction
4.2 Partitions for good quivers
4.3 Quantum gates as box moves
4.4 Geometry of the gates
4.5 Mixing of the gravitons
4.6 Bimetric and Massive AdS4 gravity
4.7 Concluding Remarks
III T ˆ [SU(N)] Superconformal Manifolds
5 Exactly marginal Deformations
5.1 Introduction
5.2 Superconformal index of T ˆ [SU(N)]
5.3 Characters of OSp(4|4) and Hilbert series
5.4 Calculation of the index
5.5 Counting the N = 2 moduli
Appendix
A Elements of representation theory for 3d N = 2 and N = 4 theories
B The supersymmetric Janus solution
C Combinatorics of linear quivers
D Index and plethystic exponentials
E Superconformal index of T[SU(2)]
E.1 Analytical computation of the index
E.2 T[SU(2)] index as holomorphic blocks
Bibliography