Two-point functions in a holographic Kondo model

Erdmenger, Johanna; Hoyos, Carlos; O’Bannon, Andy; Papadimitriou, Ioannis; Probst, Jonas; Wu, Jackson M. S.

doi:10.1007/jhep03(2017)039

Cited by 25 publications

(45 citation statements)

References 111 publications

(305 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We explain at length in section 3 how general consistency arguments for the counterterms, that go beyond the requirement that the divergences of the on-shell action be removed, unambiguously lead to our counterterms. In particular, these boundary counterterms are crucial for AdS 2 holographic correlation functions to be consistent [53].…”

Section: Jhep12(2016)008mentioning

confidence: 99%

AdS2 holographic dictionary

Cvetič

Papadimitriou

2016

J. High Energ. Phys.

Self Cite

163

267

View full text Add to dashboard Cite

We construct the holographic dictionary for both running and constant dilaton solutions of the two dimensional Einstein-Maxwell-Dilaton theory that is obtained by a circle reduction from Einstein-Hilbert gravity with negative cosmological constant in three dimensions. This specific model ensures that the dual theory has a well defined ultraviolet completion in terms of a two dimensional conformal field theory, but our results apply qualitatively to a wider class of two dimensional dilaton gravity theories. For each type of solutions we perform holographic renormalization, compute the exact renormalized onepoint functions in the presence of arbitrary sources, and derive the asymptotic symmetries and the corresponding conserved charges. In both cases we find that the scalar operator dual to the dilaton plays a crucial role in the description of the dynamics. Its source gives rise to a matter conformal anomaly for the running dilaton solutions, while its expectation value is the only non trivial observable for constant dilaton solutions. The role of this operator has been largely overlooked in the literature. We further show that the only non trivial conserved charges for running dilaton solutions are the mass and the electric charge, while for constant dilaton solutions only the electric charge is non zero. However, by uplifting the solutions to three dimensions we show that constant dilaton solutions can support non trivial extended symmetry algebras, including the one found by Compère, Song and Strominger [1], in agreement with the results of Castro and Song [2]. Finally, we demonstrate that any solution of this specific dilaton gravity model can be uplifted to a family of asymptotically AdS 2 × S 2 or conformally AdS 2 × S 2 solutions of the STU model in four dimensions, including non extremal black holes. The four dimensional solutions obtained by uplifting the running dilaton solutions coincide with the so called 'subtracted geometries', while those obtained from the uplift of the constant dilaton ones are new.

show abstract

Section: Jhep12(2016)008mentioning

confidence: 99%

AdS2 holographic dictionary

Cvetič

Papadimitriou

2016

J. High Energ. Phys.

Self Cite

163

267

View full text Add to dashboard Cite

show abstract

“…Or, one can consider a Lorentz invariant higher-dimensional bosonic SYK [30]. For other generalizations, see [19,[50][51][52][53][54][55][56][57][58][59]. In addition, in the study of AdS 2 /CFT 1 one must regulate the bulk, introducing a dilaton and turning it into "nearly" AdS 2 .…”

Section: Jhep05(2017)092mentioning

confidence: 99%

The bulk dual of SYK: cubic couplings

Gross

Rosenhaus

2017

J. High Energ. Phys.

155

200

View full text Add to dashboard Cite

The SYK model, a quantum mechanical model of N 1 Majorana fermions χ i , with a q-body, random interaction, is a novel realization of holography. It is known that the AdS 2 dual contains a tower of massive particles, yet there is at present no proposal for the bulk theory. As SYK is solvable in the 1/N expansion, one can systematically derive the bulk. We initiate such a program, by analyzing the fermion two, four and six-point functions, from which we extract the tower of singlet, large N dominant, operators, their dimensions, and their three-point correlation functions. These determine the masses of the bulk fields and their cubic couplings. We present these couplings, analyze their structure and discuss the simplifications that arise for large q.

show abstract

“…We can expect that such a phase transition actually occurs in the strong magnetic field Kondo effect, and it would be relevant to the recent work on the Kondo phase diagram [34]. In addition to the standard saddle point approximation, in the large N limit, we can also apply another non-perturbative method, called the AdS/CFT correspondence, to the Kondo problem [35,36,37,38,39,40]. See also [41].…”

Section: Discussionmentioning

confidence: 94%

Conformal field theory analysis of the QCD Kondo effect

Kimura

Ozaki

2019

Phys. Rev. D

View full text Add to dashboard Cite

We study non-perturbative aspects of QCD Kondo effect, which has been recently proposed for the finite density and strong magnetic field systems, using conformal field theory describing the low energy physics near the IR fixed point. We clarify the symmetry class of QCD Kondo effect both for the finite density and magnetic field systems, and show how the IR fixed point is non-perturbatively characterized by the boundary condition, which incorporates the impurity effect in Kondo problem. We also obtain the low temperature behavior of several quantities of QCD Kondo effect in the vicinity of the IR fixed point based on the conformal field theory analysis. † Recently, a novel type of the Kondo effect induced by color degrees of freedom, so-called QCD Kondo effect, is proposed [1]. QCD Kondo effect is a Kondo effect realized in high density quark matter with a heavy quark impurity. It is well known that there are three important ingredients for the appearance of the Kondo effect: (i) Fermi surface, (ii) quantum fluctuations (loop effects), (iii) non-Abelian property of interaction. In the QCD Kondo effect, the last condition (iii) corresponds to the color exchange interaction mediated by gluon between a light quark near the Fermi surface and the heavy quark impurity. Near the Fermi surface, the system becomes effectively (1+1)-dimensional. This dimensional reduction plays an essential role for the appearance of the Kondo effect. As a later development of the QCD Kondo effect, one of the authors together with the others have proposed the magnetically induced QCD Kondo effect [2]. In strong magnetic field, the dimensional reduction to (1+1)dimensions also occurs. This (1+1)-dimensional dynamics gives rise to magnetically induced QCD Kondo effect.A lot of approaches to the non-perturbative regime of the Kondo effect have been developed, since the standard perturbative analysis does not work below the typical energy scale, due to the asymptotic freedom. The Conformal Field Theory (CFT) is one of such approaches to study the IR fixed point of the Kondo effect [3,4,5,6,7,8]. See also a review article [9]. In the CFT approach, the impurity effect is treated as the boundary condition. Thus we can discuss the non-trivial boundary behavior using the boundary CFT

show abstract

Two-point functions in a holographic Kondo model

Cited by 25 publications

References 111 publications

AdS2 holographic dictionary

AdS2 holographic dictionary

The bulk dual of SYK: cubic couplings

Conformal field theory analysis of the QCD Kondo effect

Contact Info

Product

Resources

About