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Entanglement entropy of Wilson loops: Holography and matrix models · Around

2014

Entanglement entropy of Wilson loops: Holography and matrix models

Gentle, Simon A., Gutperle, Michael

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A half-BPS circular Wilson loop in $\mathcal{N}=4$ $SU(N)$ supersymmetric Yang-Mills theory in an arbitrary representation is described by a Gaussian matrix model with a particular insertion.

The additional entanglement entropy of a spherical region in the presence of such a loop was recently computed by Lewkowycz and Maldacena using exact matrix model results.
In this note we utilize the supergravity solutions that are dual to such Wilson loops in a representation with order $N^2$ boxes to calculate this entropy holographically.
Employing the matrix model results of Gomis, Matsuura, Okuda and Trancanelli we express this holographic entanglement entropy in a form that can be compared with the calculation of Lewkowycz and Maldacena.

Built on

J. M. Maldacena, “Wilson loops in large N field theories,” Phys.Rev.Lett
1998
Earlier work this paper cites.
J. Erickson, G. Semenoff, and K. Zarembo, “Wilson loops in N=4 supersymmetric Yang-Mills theory,” Nucl.Phys
2000
Earlier work this paper cites.
N. Drukker and D. J. Gross, “An Exact prediction of N=4 SUSYM theory for string theory,” J.Math.Phys
2001
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity,” Eur.Phys.J
2001
Earlier work this paper cites.
D. Bak, M. Gutperle, and S. Hirano, “A Dilatonic deformation of AdS(5) and its field theory dual,” JHEP
2003
Earlier work this paper cites.
J. Gomis and F. Passerini, “Holographic Wilson Loops,” JHEP
2006
Earlier work this paper cites.
S. Yamaguchi, “Wilson loops of anti-symmetric representation and D5-branes,” JHEP
2006
Earlier work this paper cites.
O. Lunin, “On gravitational description of Wilson lines,” JHEP
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys.Rev.Lett
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP
2006
Earlier work this paper cites.

Similar

J. Gomis and F. Passerini, “Wilson Loops as D3-Branes,” JHEP
2007
Cited alongside, same era.
E. D’Hoker, J. Estes, and M. Gutperle, “Gravity duals of half-BPS Wilson loops,” JHEP
Original
2007
Cited alongside, same era.
E. D’Hoker, J. Estes, and M. Gutperle, “Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus,” JHEP
Original
2007
Cited alongside, same era.
E. D’Hoker, J. Estes, and M. Gutperle, “Exact half-BPS Type IIB interface solutions. II. Flux solutions and multi-Janus,” JHEP
Original
2007
Cited alongside, same era.
S. Yamaguchi, “Bubbling geometries for half BPS Wilson lines,” Int.J.Mod.Phys
2007
Cited alongside, same era.

Then

M. Chiodaroli, M. Gutperle, and D. Krym, “Half-BPS Solutions locally asymptotic to AdS(3) x S**3 and interface conformal field theories,” JHEP
Original
2010
Later among the works it cites.
H. Casini, M. Huerta, and R. C. Myers, “Towards a derivation of holographic entanglement entropy,” JHEP
Original
2011
Later among the works it cites.
M. Chiodaroli, E. D’Hoker, Y. Guo, and M. Gutperle, “Exact half-BPS string-junction solutions in six-dimensional supergravity,” JHEP
Original
2011
Later among the works it cites.
V. Pestun, “Localization of gauge theory on a four-sphere and supersymmetric Wilson loops,” Commun.Math.Phys
Original
2012
Later among the works it cites.
R. Benichou and J. Estes, “Geometry of Open Strings Ending on Backreacting D3-Branes,” JHEP

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T. Okuda and D. Trancanelli, “Spectral curves, emergent geometry, and bubbling solutions for Wilson loops,” JHEP

2008

Cited alongside, same era.

J. Gomis, S. Matsuura, T. Okuda, and D. Trancanelli, “Wilson loop correlators at strong coupling: From matrices to bubbling geometries,” JHEP

2008

Cited alongside, same era.

T. Azeyanagi, A. Karch, T. Takayanagi, and E. G. Thompson, “Holographic calculation of boundary entropy,” JHEP

2008

Cited alongside, same era.

E. D’Hoker, J. Estes, M. Gutperle, and D. Krym, “Exact Half-BPS Flux Solutions in M-theory. I: Local Solutions,” JHEP

2008

Cited alongside, same era.

M. Chiodaroli, M. Gutperle, and L.-Y. Hung, “Boundary entropy of supersymmetric Janus solutions,” JHEP

2010

Cited alongside, same era.

2012

Later among the works it cites.

A. Lewkowycz and J. Maldacena, “Generalized gravitational entropy,” JHEP

2013

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K. Jensen and A. O’Bannon, “Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects,” Phys.Rev

2013

Later among the works it cites.

A. Lewkowycz and J. Maldacena, “Exact results for the entanglement entropy and the energy radiated by a quark,” JHEP

2014

Closest in time.

J. Estes, K. Jensen, A. O’Bannon, E. Tsatis, and T. Wrase, “On Holographic Defect Entropy,” JHEP

2014

Closest in time.