Built on

W. G. Unruh and N. Weiss, “Acceleration Radiation in Interacting Field Theories,” Phys. Rev
1984
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys
1989
Earlier work this paper cites.
N. Ishibashi, “The Boundary and Crosscap States in Conformal Field Theories,” Mod. Phys. Lett
1989
Earlier work this paper cites.
S. Elitzur, G. W. Moore, A. Schwimmer, and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys
1989
Earlier work this paper cites.
L. Susskind and J. Uglum, “Black hole entropy in canonical quantum gravity and superstring theory,” Phys. Rev
1994
Earlier work this paper cites.
E. Witten, “Chern-Simons gauge theory as a string theory,” Prog. Math
1995
Earlier work this paper cites.
R. Gopakumar and C. Vafa, “On the gauge theory / geometry correspondence,” Adv. Theor. Math. Phys
1999
Earlier work this paper cites.

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H. Li and F. Haldane, “Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States,” Phys. Rev. Lett
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Then

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2014
Later among the works it cites.
W. Donnelly, “Entanglement entropy and nonabelian gauge symmetry,” Class. Quant. Grav
Original
2014
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
Original
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Later among the works it cites.
W. Donnelly and A. C. Wall, “Entanglement entropy of electromagnetic edge modes,” Phys. Rev. Lett
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D. Das and S. Datta, “Universal features of left-right entanglement entropy,” Phys. Rev. Lett

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2017

A note on entanglement edge modes in Chern Simons theory

Wong, Gabriel

Understand

We elaborate on the extended Hilbert space factorization of Chern Simons theory and show how this arises naturally from a proper regularization of the entangling surface in the Euclidean path integral.

The regularization amounts to stretching the entangling surface into a co-dimension one surface which hosts edge modes of the Chern Simons theory when quantized on a spatial subregion.
The factorized state is a regularized Ishibashi state and reproduces the well known topological entanglement entropies.
We illustrate how the same factorization arises from the glueing of two spatial subregions via the entangling product defined by Donnelly and Freidel.

Built on

W. G. Unruh and N. Weiss, “Acceleration Radiation in Interacting Field Theories,” Phys. Rev
1984
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys
1989
Earlier work this paper cites.
N. Ishibashi, “The Boundary and Crosscap States in Conformal Field Theories,” Mod. Phys. Lett
1989
Earlier work this paper cites.
S. Elitzur, G. W. Moore, A. Schwimmer, and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys
1989
Earlier work this paper cites.
L. Susskind and J. Uglum, “Black hole entropy in canonical quantum gravity and superstring theory,” Phys. Rev
1994
Earlier work this paper cites.
E. Witten, “Chern-Simons gauge theory as a string theory,” Prog. Math
1995
Earlier work this paper cites.
R. Gopakumar and C. Vafa, “On the gauge theory / geometry correspondence,” Adv. Theor. Math. Phys
1999
Earlier work this paper cites.

Similar

H. Li and F. Haldane, “Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States,” Phys. Rev. Lett
2008
Cited alongside, same era.
P. V. Buividovich and M. I. Polikarpov, “Entanglement entropy in lattice gauge theories,” PoS
Original
2009
Cited alongside, same era.
M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav
Original
2010
Cited alongside, same era.
W. Donnelly, “Decomposition of entanglement entropy in lattice gauge theory,” Phys.Rev
Original
2012
Cited alongside, same era.
B. Swingle and T. Senthil, “A Geometric proof of the equality between entanglement and edge spectra,” Phys. Rev

Then

T. Faulkner, M. Guica, T. Hartman, R. C. Myers, and M. Van Raamsdonk, “Gravitation from Entanglement in Holographic CFTs,” JHEP
Original
2014
Later among the works it cites.
W. Donnelly, “Entanglement entropy and nonabelian gauge symmetry,” Class. Quant. Grav
Original
2014
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
Original
2014
Later among the works it cites.
W. Donnelly and A. C. Wall, “Entanglement entropy of electromagnetic edge modes,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
D. Das and S. Datta, “Universal features of left-right entanglement entropy,” Phys. Rev. Lett

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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Original

2012

Cited alongside, same era.

X.-L. Qi, H. Katsura, and A. W. Ludwig, “General relationship between the entanglement spectrum and the edge state spectrum of topological quantum states,” Physical review letters

2012

Cited alongside, same era.

T. Jacobson, “Black holes and Hawking radiation in spacetime and its analogues,” Lect. Notes Phys

Original

2013

Cited alongside, same era.

W. Donnelly and L. Freidel, “Local subsystems in gauge theory and gravity,” arXiv:1601.04744 [hep-th]

Original

Cited in the paper.

B. Swingle and M. Van Raamsdonk, “Universality of Gravity from Entanglement,” arXiv:1405.2933 [hep-th]

Original

Cited in the paper.