Holographic entanglement entropy of the Coulomb branch

Chalabi, Adam; Kumar, S. Prem; O’Bannon, Andy; Pribytok, Anton; Rodgers, Ronnie; Sisti, Jacopo

doi:10.1007/jhep04(2021)153

Cited by 5 publications

(3 citation statements)

References 105 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[141], based on adapting the generalized gravitational entropy of Lewkowycz and Maldacena [142] to the case when probe branes are embedded in the bulk spacetime (see ref. [143] for a generalization to the case of non-conformal branes). When p = 4, the result is…”

Section: Jhep02(2022)166mentioning

confidence: 99%

Weyl anomalies of four dimensional conformal boundaries and defects

Chalabi

Herzog

O’Bannon

et al. 2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Motivated by questions about quantum information and classification of quantum field theories, we consider Conformal Field Theories (CFTs) in spacetime dimension d ≥ 5 with a conformally-invariant spatial boundary (BCFTs) or 4-dimensional conformal defect (DCFTs). We determine the boundary or defect contribution to the Weyl anomaly using the standard algorithm, which includes imposing Wess-Zumino consistency and fixing finite counterterms. These boundary/defect contributions are built from the intrinsic and extrinsic curvatures, as well as the pullback of the ambient CFT’s Weyl tensor. For a co-dimension one boundary or defect (i.e. d = 5), we reproduce the 9 parity-even terms found by Astaneh and Solodukhin, and we discover 3 parity-odd terms. For larger co-dimension, we find 23 parity-even terms and 6 parity-odd terms. The coefficient of each term defines a “central charge” that characterizes the BCFT or DCFT. We show how several of the parity-even central charges enter physical observables, namely the displacement operator two-point function, the stress-tensor one-point function, and the universal part of the entanglement entropy. We compute several parity-even central charges in tractable examples: monodromy and conical defects of free, massless scalars and Dirac fermions in d = 6; probe branes in Anti-de Sitter (AdS) space dual to defects in CFTs with d ≥ 6; and Takayanagi’s AdS/BCFT with d = 5. We demonstrate that several of our examples obey the boundary/defect a-theorem, as expected.

show abstract

Section: Jhep02(2022)166mentioning

confidence: 99%

Weyl anomalies of four dimensional conformal boundaries and defects

Chalabi

Herzog

O’Bannon

et al. 2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…[138], based on adapting the generalized gravitational entropy of Lewkowycz and Maldacena [139] to the case when probe branes are embedded in the bulk spacetime (see ref. [140] for a generalization to the case of non-conformal branes). When p = 4, the result is…”

Section: 44)mentioning

confidence: 99%

Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects

Chalabi,

Herzog,

O'Bannon

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Motivated by questions about quantum information and classification of quantum field theories, we consider Conformal Field Theories (CFTs) in spacetime dimension d ≥ 5 with a conformally-invariant spatial boundary (BCFTs) or 4-dimensional conformal defect (DCFTs). We determine the boundary or defect contribution to the Weyl anomaly using the standard algorithm, which includes imposing Wess-Zumino consistency and fixing finite counterterms. These boundary/defect contributions are built from the intrinsic and extrinsic curvatures, as well as the pullback of the ambient CFT's Weyl tensor. For a co-dimension one boundary or defect (i.e. d = 5), we reproduce the 9 parity-even terms found by Astaneh and Solodukhin, and we discover 3 parity-odd terms. For larger codimension, we find 23 parity-even terms and 6 parity-odd terms. The coefficient of each term defines a "central charge" that characterizes the BCFT or DCFT. We show how several of the parity-even central charges enter physical observables, namely the displacement operator two-point function, the stress-tensor one-point function, and the universal part of the entanglement entropy. We compute several parity-even central charges in tractable examples: monodromy and conical defects of free, massless scalars and Dirac fermions in d = 6; probe branes in Anti-de Sitter (AdS) space dual to defects in CFTs with d ≥ 6; and Takayanagi's AdS/BCFT with d = 5. We demonstrate that several of our examples obey the boundary/defect a-theorem, as expected.

show abstract

“…In the companion paper ref. [26], we holographically compute the contribution of various probe D3-branes to the entanglement entropy of a spherical region in N = 4 SYM. For the D3-brane describing the phase bubble, we find that Schwarz's entanglement entropy scales not with the surface area, ρ 2 0 , but approximately as ρ 1.2 0 .…”

Section: Jhep05(2021)109mentioning

confidence: 99%

Holographic Coulomb branch solitons, quasinormal modes, and black holes

Kumar

O’Bannon

Pribytok

et al. 2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Four-dimensional $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory, at a point on the Coulomb branch where SU(N) gauge symmetry is spontaneously broken to SU(N − 1) × U(1), admits BPS solitons describing a spherical shell of electric and/or magnetic charges enclosing a region of unbroken gauge symmetry. These solitons have been proposed as gauge theory models for certain features of asymptotically flat extremal black holes. In the ’t Hooft large N limit with large ’t Hooft coupling, these solitons are holographically dual to certain probe D3-branes in the AdS5 × S5 solution of type IIB supergravity. By studying linearised perturbations of these D3-branes, we show that the solitons support quasinormal modes with a spectrum of frequencies sharing both qualitative and quantitative features with asymptotically flat extremal black holes.

show abstract

Holographic entanglement entropy of the Coulomb branch

Cited by 5 publications

References 105 publications

Weyl anomalies of four dimensional conformal boundaries and defects

Weyl anomalies of four dimensional conformal boundaries and defects

Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects

Holographic Coulomb branch solitons, quasinormal modes, and black holes

Contact Info

Product

Resources

About