Holographic impurities and Kondo effect

Erdmenger, Johanna; Flory, Mario; Hoyos, Carlos; Newrzella, M-N.; O’Bannon, Andy; Wu, Jackson M. S.

doi:10.1002/prop.201500079

Cited by 31 publications

(39 citation statements)

References 74 publications

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“…It should also be noted that there are similar defect theories that have been proposed as models of quantum impurities in strongly correlated systems with an AdS 2 dual, see e.g. the reviews [37,38] and references therein.…”

Section: Summary and Discussionmentioning

confidence: 86%

A defect action for Wilson loops

Hoyos

2018

J. High Energ. Phys.

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An effective action is proposed to compute the expectation value of Wilson loops in (S)U (N ) gauge theories. The action consists of fermions localized on the loop and an Abelian gauge field that fixes the representation. The discussion is limited to weak coupling and Wilson loops in the fundamental representation extended along a smooth curve, but there are no restrictions on the matter content as long as the theory has a UV fixed point or it is conformal. For a circular Wilson loop it is found that the expectation value coincides at leading order with the exact result of the 1/2 BPS Wilson loop of N = 4 super Yang-Mills, which is determined by a solvable Gaussian matrix model. This hints towards a universal connection to string theory duals and SYK models.

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Section: Summary and Discussionmentioning

confidence: 86%

A defect action for Wilson loops

Hoyos

2018

J. High Energ. Phys.

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“…This setup arises naturally in the Kondo model and its holographic duals. See [41] for a Kondo model example that inspired the SYK model studied in this paper, and [42] and references therein for holographic examples.…”

Section: H a Model Without The Reparametrization Symmetrymentioning

confidence: 99%

Remarks on the Sachdev-Ye-Kitaev model

2016

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We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of N Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large N limit, where the classical variable is a bilocal fermion bilinear. The model becomes strongly interacting at low energies where it develops an emergent conformal symmetry. We study two and four point functions of the fundamental fermions. This provides the spectrum of physical excitations for the bilocal field.The emergent conformal symmetry is a reparametrization symmetry, which is spontaneously broken to SL(2, R), leading to zero modes. These zero modes are lifted by a small residual explicit breaking, which produces an enhanced contribution to the four point function. This contribution displays a maximal Lyapunov exponent in the chaos region (out of time ordered correlator). We expect these features to be universal properties of large N quantum mechanics systems with emergent reparametrization symmetry.This article is largely based on talks given by Kitaev [1], which motivated us to work out the details of the ideas described there.

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“…The above symmetry mode representing time reparametrization can be elevated to a dynamical variable introduced according to [26] through the Faddeev-Popov method which we summarize as follows: we insert into the partition function (1.4), the functional identity: 9) so that after an inverse change of the integration variable, it results in a combined representation 10) with an appropriate Jacobian. After separating the critical classical solution Ψ 0 from the bi-local field: Ψ = Ψ 0 + Ψ, the total action is now given by 11) where the action of the time collective coordinate is…”

Section: Jhep11(2016)046mentioning

confidence: 99%