Holographic dual of free field theory

By Michael R Douglas, Luca Mazzucato, Shlomo S. Razamat. 2010

161 citations recorded by the source corpus.

We derive a holographic dual description of free quantum field theory in arbitrary dimensions, by reinterpreting the exact renormalization group to obtain a higher spin gravity theory of the general type which had been proposed and studied as a dual theory. We show that the dual theory reproduces all correlation functions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/863685c267ab71977292c225fe129b951e53fd81

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Holographic geometry of entanglement renormalization in quantum field theories (2012, background): “It is also useful to note that the gravity dual of O(N) scalar field theory is given by the higher spin gravity [50] as has been recently studied actively [51, 52, 53, 54, 55].”
On Higher Spin Gauge Theory and the Critical O(N) Model (2011, background): “The first such perturbative computation was carried out in [11, 12], and highly nontrivial agreement of three point functions between the bulk and boundary theories have been found at leading order in 1/N , for both ∆ = 1 and ∆ = 2 boundary conditions (see [5, 6, 7, 8] for earlier works, and [13, 14”
Surface/State Correspondence as a Generalized Holography (2015, unknown): “[33, 34, 35, 36, 37, 38, 39].”
F-theorem without supersymmetry (2011, background): “Recently, this conjecture has been subjected to some non-trivial tests [64–66], and new ideas have appeared on how to prove it [67, 68].”
d = 3 bosonic vector models coupled to Chern-Simons gauge theories (2011, background): “Perhaps the attempted derivations of the AdS/CFT correspondence for λ = 0 [10, 11, 12, 13] can be generalized to finite λ, by replacing the scalar bilinear operators φi(x)φi(y) appearing in these derivations by a gauge-invariant bilinear (in which the two scalars are connected by an open Wilson line”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “‡ This is not for lack of trying; see[333, 447, 448] for recent approaches.”
Partition functions of higher spin black holes and their CFT duals (2011, background): “Relatively recently, it has been realized that higher spin theories may lead to soluble examples of the AdS/CFT correspondence [3,4,5,6,7,8,9,10,11,12,13,14,15,16].”
Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions (2012, result): “Strong evidence for this equivalence was found in [14, 15], and suggested derivations of the equivalence were presented in [16, 17, 18, 19].”
Conical defects in higher spin theories (2011, unknown): “[3, 4, 5, 6, 7, 8, 9, 1, 10]).”
Higher spin black holes (2011, background): “Higher spin gravity also appears in the context of a constructive derivation of holography for free field theory [18,19].”
The higher spin/vector model duality (2012, background): “Some approaches towards deriving the higher spin/vector model duality from first principles were investigated in [22] and [23–26] (see also [27] for relevant earlier work).”