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AdS/CFT correspondence
About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.
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TL;DR: In this article, it was shown that all fields of spin s > 2 in AdS 4 become massive by a Higgs mechanism, that leaves the spin-2 field massless.
110 citations
TL;DR: In this paper, it was shown that the full spurionic symmetry of Galilean invariant field theories can be deduced when those theories are the limits of relativistic parents, and that the non-relativistic daughter couples to Newton-Cartan geometry together with all of the symmetries advocated in previous work.
Abstract: We show that the full spurionic symmetry of Galilean-invariant field theories can be deduced when those theories are the limits of relativistic parents. Under the limit, the non-relativistic daughter couples to Newton-Cartan geometry together with all of the symmetries advocated in previous work, including the recently revived Milne boosts. Our limit is a covariant version of the usual one, where we start with a gapped relativistic theory with a conserved charge, turn on a chemical potential equal to the rest mass of the lightest charged state, and then zoom in to the low energy sector. This procedure gives a simple physical interpretation for the Milne boosts. Our methods even apply when there is a magnetic moment, which is known to modify the non-relativistic symmetry transformations. We focus on two examples. Free scalars are used to demonstrate the basic procedure, whereas hydrodynamics is used in order to exhibit the power of this approach in a fully dynamical setting, correcting several inaccuracies in the existing literature.
110 citations
TL;DR: In this paper, the spectrum of spin two glueballs in the background geometry of the AdS soliton in p+2 dimensions was determined via the CFT correspondence, which corresponded to determining the spectrum for spin two excitations in the dual effective p-dimensional field theories for D3 and M5-branes.
Abstract: We determine the spectrum of graviton excitations in the background geometry of the AdS soliton in p+2 dimensions. Via the AdS/CFT correspondence this corresponds to determining the spectrum of spin two excitations in the dual effective p-dimensional field theories For the cases of D3- and M5-branes these are the spin two glueballs of QCD_3 and QCD_4 respectively. For all values of p we find an exact degeneracy of the spectra of these tensor states and certain scalar excitations. Our results also extend the perturbative proof of a positive energy conjecture for asymptotically locally AdS spacetimes (originally proposed for p=3) to an arbritrary number of dimensions.
109 citations
TL;DR: In this article, an upper and lower bound on a weighted sum of OPE coefficients present between consecutive generalized free field dimensions is derived for all sufficiently large integer n. The lower bound implies the ϕ × ϕ OPE must contain at least one primary in the interval [2Δϕ + 2n, 2Δ ϕ+ 2n+2n + 4] for any sufficiently large n.
Abstract: We clarify the relationships between different approaches to the conformal bootstrap. A central role is played by the so-called extremal functionals. They are linear functionals acting on the crossing equation which are directly responsible for the optimal bounds of the numerical bootstrap. We explain in detail that the extremal functionals probe the Regge limit. We construct two complete sets of extremal functionals for the crossing equation specialized to $$ z=\overline{z} $$
, associated to the generalized free boson and fermion theories. These functionals lead to non-perturbative sum rules on the CFT data which automatically incorporate Regge boundedness of physical correlators. The sum rules imply universal properties of the OPE at large Δ in every unitary solution of SL(2) crossing. In particular, we prove an upper and lower bound on a weighted sum of OPE coefficients present between consecutive generalized free field dimensions. The lower bound implies the ϕ × ϕ OPE must contain at least one primary in the interval [2Δϕ + 2n, 2Δϕ + 2n + 4] for all sufficiently large integer n. The functionals directly compute the OPE decomposition of crossing-symmetrized Witten exchange diagrams in AdS2. Therefore, they provide a derivation of the Polyakov bootstrap for SL(2), in particular fixing the so-called contact-term ambiguity. We also use the resulting sum rules to bootstrap several Witten diagrams in AdS2 up to two loops.
109 citations
TL;DR: In this article, the Schrodinger group is realized via the conformal quantum mechanics of De Alfaro, Fubini and Furlan in the holographic direction, and most physical requirements including the introduction of harmonic traps, can be realized with exact AdS metrics, but without any need for exotic matter sectors in the bulk dynamics.
Abstract: We develop a Hamiltonian picture for a family of models of nonrelativistic AdS/CFT duality. The Schrodinger group is realized via the conformal quantum mechanics of De Alfaro, Fubini and Furlan in the holographic direction. We show that most physical requirements, including the introduction of harmonic traps, can be realized with exact AdS metrics, but without any need for exotic matter sectors in the bulk dynamics. This Hamiltonian picture can be used to compare directly with many-body spectra of fermions at unitarity on harmonic traps, thereby providing a direct physical interpretation of the holographic radial coordinate for these systems. Finally, we add some speculations on the dynamical generation of mass gaps in the AdS description, the resulting quasiparticle spectra, and the analog of `deconfining' phase transitions that may occur.
109 citations