The holographic dictionary for Beta functions of multi-trace coupling constants

Aharony, Ofer; Gur-Ari, Guy; Klinghoffer, Nizan

doi:10.1007/jhep05(2015)031

Cited by 22 publications

(22 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Detailed calculations can be found, for example, in [60][61][62]. In conformal field theories it has been studied in [63][64][65][66]. Here we will not refer to any specific context but give a rather general discussion that is just enough for us in later sections.…”

Section: From 4-fermi Interaction To Double-trace Deformationmentioning

confidence: 99%

A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid

DeWolfe

Henriksson

2017

Annals of Physics

View full text Add to dashboard Cite

Abstract:We build a holographic model for the pairing fluctuation pseudogap phase in fermionic high temperature superconductivity/superfluidity based on the BCS-BEC crossover scenario. The pseudogap originates from incoherent Cooper pairing and has been observed in recent cold atom experiments. The strength of Cooper pairing and hence the BCS-BEC crossover is controlled by an effective 4-Fermi interaction and we argue that the doubletrace deformation for charged scalar operator is a close analog in large N field theories. We employ the double-trace deformed Abelian Higgs model of holographic superconductors and propose that the incoherent fluctuations of the charged scalar in the bulk is the holographic dual of the fluctuating Cooper pairs. Using a Madelung transformation and the velocitypotential formalism, we develop a quantum fluid dynamics as an effective theory for these bulk fluctuations. The new fluid dynamics takes care of the boundary conditions required by AdS/CFT and encodes the vacuum polarization effect in curved spacetime. The pseudogap in conductivity can be related to the plasma oscillation of this bulk fluid.

show abstract

Section: From 4-fermi Interaction To Double-trace Deformationmentioning

confidence: 99%

A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid

DeWolfe

Henriksson

2017

Annals of Physics

View full text Add to dashboard Cite

show abstract

“…Alternative fixed point can be understood as a UV completion of the standard IR theory within the Klebanov-Witten window by analysing the flow equations (11). 13 However, we treat this as a stand-alone prescription to begin with, and will connect them using the flow in double trace couplings in Appendix C.1.…”

Section: Alternative Quantizationmentioning

confidence: 99%

“…The boundary part of the action, which is also the wavefunctional Ψ[φ 0 ], in the above equation is such that the variation principle imposes a modified Neumann condition on the boundary z = ǫ 0 → 0. This relates the normalizable part of the classical solution for π (conjugate momentum to the bulk field φ) to the source, J for the dual field theory operator O, which now has the conformal dimension ∆ − = d/2 − ν, [7,11]. In this case, the wavefunctional can be generalized to a finite cut-off without any ambiguity.…”

Section: Alternative Quantizationmentioning

confidence: 99%

“…For even more general higher-derivative multi-trace operators, we expect that the above formulae generalises as long as we include all the derivative terms inside the expectation values. Corresponding computation for triple-trace operators without derivatives is done in [11], and we think the generalisation shouldn't be difficult.…”

Section: Double Trace Perturbationsmentioning

confidence: 99%

See 1 more Smart Citation

Revisiting AdS/CFT at a finite radial cut-off

Mandal

Nayak

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We revisit AdS/CFT at a finite radial cut-off, specifically in the context of double trace perturbations, O n = O(x)(∂ 2 ) n O(x), with arbitrary powers n. As well-known, the standard GKPW prescription, applied to a finite radial cut-off, leads to contact terms in correlators. de Haro et al. [1] introduced bulk counterterms to remove these. This prescription, however, yields additional terms in the correlator corresponding to spurious double trace deformations. Further, if we view the GKPW prescription coupled with the prescription in [1], in terms of a boundary wavefunction, we find that it is incompatible with radial Schrödinger evolution (in the spirit of holographic Wilsonian RG). We consider a more general wavefunction satisfying the Schrödinger equation, and find that generically such wavefunctions generate both (a) double trace deformations and (b) contact terms. However, we find that there exist special choices of these wavefunctions, amounting to a new AdS/CFT prescription at a finite cut-off, so that both (a) and (b) are removed and we obtain a pure power law behaviour for the correlator. We compare these special wavefunctions with a specific RG scheme in field theory. We give a geometric interpretation of these wavefunctions; these correspond to some specific smearing of boundary points in the Witten diagrams. We present a comprehensive calculation of exact double-trace betafunctions for all couplings O n and match with a holographic computation using the method described above. The matching works with a mapping between the field theory and bulk couplings; such a map is highly constrained because the beta-functions are quadratic and exact on both sides. Our discussions include a generalization of the standard double-trace Wilson-Fisher flow to the space of the infinite number of couplings.

show abstract

“…Although our embeddings could be possibly rephrased in these other frameworks by integrating out messenger degrees of freedom, they have the advantage of relying on proper classical solutions of 10d supergravity. They do not therefore suffer from some difficulties of the above proposals, namely non-locality of the worldsheet theory, or hard-to-control renormalization group flows [36][37] [38]. The 'price to pay' is that the graviton mass is quantized and cannot be tuned continuously to zero.…”

Section: Introductionmentioning

confidence: 99%

Massive Anti-de Sitter gravity from string theory

Bachas

Lavdas

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

We study top-down embeddings of massive Anti-de Sitter (AdS) gravity in type-IIB string theory. The supergravity solutions have a AdS 4 fiber warped over a manifold M 6 whose shape resembles that of scottish bagpipes: The 'bag' is a conventional AdS 4 -compactification manifold, while the 'pipes' are highly-curved semi-infinite Janus throats. Besides streamlining previous discussions of the problem, our main new result is a formula for the graviton mass which only depends on the effective gravitational coupling of the bag, and on the D3-brane charges and dilaton jumps of the Janus throats. We compare these embeddings to the Karch-Randall model and to other bottom-up proposals for massive-AdSgravity, and we comment on their holographic interpretation. This is a companion paper to [1], where some closely-related bimetric models with pure AdS 5 ×S 5 throats were analyzed. arXiv:1807.00591v2 [hep-th]

show abstract

The holographic dictionary for Beta functions of multi-trace coupling constants

Cited by 22 publications

References 44 publications

A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid

A holographic model for pseudogap in BCS–BEC crossover (I): Pairing fluctuations, double-trace deformation and dynamics of bulk bosonic fluid

Revisiting AdS/CFT at a finite radial cut-off

Massive Anti-de Sitter gravity from string theory

Contact Info

Product

Resources

About