Holographic entanglement entropy for massive flavours in dS 4

Vaganov, Vladislav

doi:10.1007/jhep03(2016)172

Cited by 6 publications

(7 citation statements)

References 63 publications

(221 reference statements)

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“…The analysis of such nontrivial temperature dependence in strongly coupled field theory in de Sitter space is another motivation of this paper. Notice that gauge/gravity duals in de Sitter where also studied in [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] The plan of the paper is as follows. In section 2, we consider the computation of entanglement entropy in the de Sitter theory in arbitrary dimensions.…”

Section: Introductionmentioning

confidence: 99%

Thermal bath in de Sitter space from holography

Chu

Giataganas

2017

Phys. Rev. D

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We consider the AdS/dS CFT correspondence and study the nature of the thermal bath of the de Sitter field theory using holography. Unlike the temperature of a thermal field theory in flat spacetime, the temperature of a superconformal field theory on de Sitter space is an integral part of the theory and leaves intact the conformal symmetry and supersymmetry. In the dual AdS side, there is no black hole. Instead we have cosmological expansion of the de Sitter factor. We consider a number of different observables, such as the entanglement entropy, two point correlation function, Wilson loops corresponding to static and spinning mesons in the field theory, and study their thermal properties using holography. The former two quantities have trivial temperature dependence due to conformal symmetry. We compute the energy of the quark anti-quark bound state for a static meson, as well as the energy and the angular momentum for a spinning meson. We find that there is a maximum distance, as well as a maximum spin for the latter case, beyond which the bound state become unstable. The temperature behavior of the physical quantities in these meson systems are similar to that of the usual thermal field theory with holographic black hole dual. With these examples, we show clearly how the field theory observables get their thermal properties from the bulk despite the absence of a black hole, with the role of the black hole horizon played by the cosmological expansion of the de Sitter factor of the AdS metric.arXiv:1608.07431v1 [hep-th]

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Section: Introductionmentioning

confidence: 99%

Thermal bath in de Sitter space from holography

Chu

Giataganas

2017

Phys. Rev. D

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“…This agreement relied crucially on a certain boundary term in the probe D3brane's action, our S (bdy) 2 in eq. (4.28), that was neglected by Karch and Uhlemann [53] and in previous calculations using their method [55][56][57].…”

Section: Discussionmentioning

confidence: 95%

“…Refs. [55,56] and [57] used the Karch-Uhlemann method to obtain the HEE of non-conformal D-brane and M-brane solutions, respectively.…”

Section: Jhep04(2021)153mentioning

confidence: 99%

“…Although this boundary term vanishes for the conformal Wilson line, it is non-zero for all our non-conformal probe branes. This boundary term has been neglected in all previous applications of the Karch-Uhlemann method [53,[55][56][57].…”

Section: Jhep04(2021)153mentioning

confidence: 99%

“…was neglected [55][56][57]. More generally, RG flows and other forms of conformal symmetry breaking are typically easier to study using probe branes, whose equations of motion are usually easier to solve than Einstein's equation.…”

Section: Jhep04(2021)153mentioning

confidence: 99%

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Holographic entanglement entropy of the Coulomb branch

Chalabi

Kumar

O’Bannon

et al. 2021

J. High Energ. Phys.

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We compute entanglement entropy (EE) of a spherical region in (3 + 1)-dimensional $$ \mathcal{N} $$ N = 4 supersymmetric SU(N) Yang-Mills theory in states described holographically by probe D3-branes in AdS5 × S5. We do so by generalising methods for computing EE from a probe brane action without having to determine the probe’s backreaction. On the Coulomb branch with SU(N) broken to SU(N − 1) × U(1), we find the EE monotonically decreases as the sphere’s radius increases, consistent with the a-theorem. The EE of a symmetric-representation Wilson line screened in SU(N − 1) also monotonically decreases, although no known physical principle requires this. A spherical soliton separating SU(N) inside from SU(N − 1) × U(1) outside had been proposed to model an extremal black hole. However, we find the EE of a sphere at the soliton’s radius does not scale with the surface area. For both the screened Wilson line and soliton, the EE at large radius is described by a position-dependent W-boson mass as a short-distance cutoff. Our holographic results for EE and one-point functions of the Lagrangian and stress-energy tensor show that at large distance the soliton looks like a Wilson line in a direct product of fundamental representations.

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Flavored ABJM theory on the sphere and holographic F-functions

Jokela

Kastikainen

Kiritsis

et al. 2022

J. High Energ. Phys.

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We study strongly coupled ABJM theory on the 3-sphere with massive quenched flavor using the AdS/CFT correspondence. The holographic dual consists of type IIA supergravity with probe D6-branes. The flavor mass is a relevant deformation driving an RG flow whose IR endpoint is pure ABJM theory. At non-zero mass, we find that the theory on the 3-sphere exhibits a quantum phase transition at a critical value of the sphere radius. The transition corresponds to a topology change in the D6-brane embeddings whose dual interpretation is the meson-melting transition. We perform the holographic computation of the free energy on 3-sphere and we use it to construct various candidate F-functions. These were recently proposed in the context of Einstein-scalar gravity to interpolate monotonically between the values of the sphere free energies of the UV and IR CFTs. We find that while the F-functions of the flavored ABJM theory have the correct UV and IR limits, they are not monotonic. We surmise that the non-monotonicity is related to the presence of the phase transition.

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Holographic entanglement entropy for massive flavours in dS 4

Cited by 6 publications

References 63 publications

Thermal bath in de Sitter space from holography

Thermal bath in de Sitter space from holography

Holographic entanglement entropy of the Coulomb branch

Flavored ABJM theory on the sphere and holographic F-functions

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