Holographic entanglement entropy of anisotropic minimal surfaces in LLM geometries

Kim, Chanju; Kim, Kyung Kiu; Kwon, O-Kab

doi:10.1016/j.physletb.2016.05.095

Cited by 9 publications

(16 citation statements)

References 48 publications

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“…For later convenience, here we discuss two important quantities which are invariant under such shift of the origin. After some rearranging, the functions Z(x,ỹ) and V (x,ỹ) in (2.8) can be written in terms of the Legendre polynomials as follows [15],…”

Section: Invariant Quantities Under the Shift Of Originmentioning

confidence: 99%

Holography of massive M2-brane theory with discrete torsion

et al. 2020

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We investigate the gauge/gravity duality between the N = 6 mass-deformed ABJ theory with U k (N + l)×U −k (N ) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(2,1)×SO(4)/Z k ×SO(4)/Z k isometry and the discrete torsion l. For chiral primary operators with conformal dimensions ∆ = 1, 2, we obtain the vacuum expectation values using the supersymmetric vacua in the mass-deformed ABJ theory and the holographic method in 11-dimensional supergravity. We show that the two results agree for all supersymmetric vacuum solutions in the large N limit.The l √ N contributions from the discrete torsion l for several simple droplet pictures in the large N limit are determined in holographic vacuum expectation values. We also explore the effects of the orbifolding Z k and the asymptotic discrete torsion l, on the gauge/gravity duality dictionary and on the nature of the asymptotic limits of the LLM geometries.

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Section: Invariant Quantities Under the Shift Of Originmentioning

confidence: 99%

Holography of massive M2-brane theory with discrete torsion

et al. 2020

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“…lz(x/l) . The Lagrangian in (19) has no explicit dependence of σ. So there is a conserved quantity H given by…”

Section: Basic Setupmentioning

confidence: 99%

“…Further studies with the method show us new universal properties of generic CFT e.g., [12][13][14][15][16]. Even for a particular non-conformal field theory, it turns out that Ryu and Takayanagi's proposal is still useful by considering a top-down study on the field theory and the corresponding supergravity solution [17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Holographic entanglement entropy with momentum relaxation

et al. 2019

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We studied the holographic entanglement entropy for a strip and sharp wedge entangling regions in momentum relaxation systems. In the case of strips, we found analytic and numerical results for the entanglement entropy and examined the effect of the electric field on the entanglement entropy.We also studied the entanglement entropy of wedges and confirmed that there is a linear change due to the electric field. In this case, we showed that the entanglement entropy change is interestingly proportional to the thermoelectric conductivity which is a measurable quantity. Also, we discussed comparable calculations with ABJM theory and we suggested an experiment for our result. *

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“…The corresponding 4-form field strength is given by 11) where , 36]. The 4-form field strength in (2.11) can also be expressed in terms of Z(x,ỹ) and V (x,ỹ) by using the relations [37][38][39] …”

Section: Jhep04(2017)104mentioning

confidence: 99%

Mass-deformed ABJM theory and LLM geometries: exact holography

Jang

Kim

Kwon

et al. 2017

J. High Energ. Phys.

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We present a detailed account and extension of our claim in arXiv:1610.01490. We test the gauge/gravity duality between the N = 6 mass-deformed ABJM theory with U k (N )×U −k (N ) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(4)/Z k ×SO(4)/Z k isometry, in the large N limit. Our analysis is based on the evaluation of vacuum expectation values of chiral primary operators from the supersymmetric vacua of mass-deformed ABJM theory and from the implementation of Kaluza-Klein holography to the LLM geometries. We focus on the chiral primary operator with conformal dimension ∆ = 1. We show that O (∆=1) = N 3 2 f (∆=1) for all supersymmetric vacuum solutions and LLM geometries with k = 1, where the factor f (∆) is independent of N . We also confirm that the vacuum expectation value of the energy momentum tensor is vanishing as expected by the supersymmetry. We extend our results to the case of k = 1 for LLM geometries represented by rectangular-shaped Young-diagrams. In analogy with the Coulomb branch of the N = 4 super Yang-Mills theory, we argue that the discrete Higgs vacua of the mABJM theory as well as the corresponding LLM geometries are parametrized by the vevs of the chiral primary operators.

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Holographic entanglement entropy of anisotropic minimal surfaces in LLM geometries

Cited by 9 publications

References 48 publications

Holography of massive M2-brane theory with discrete torsion

Holography of massive M2-brane theory with discrete torsion

Holographic entanglement entropy with momentum relaxation

Mass-deformed ABJM theory and LLM geometries: exact holography

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