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Entanglement branes and factorization in conformal field theory

Ling Yan Hung
(
- Fudan U. and
- Fudan U., Surf. Phys. Lab. and
- CICAM, Nanjing and
- Fudan U., Shanghai
)
,
Gabriel Wong
(
- Fudan U., Surf. Phys. Lab.
)

Dec 23, 2019

21 pages

Published in:

Phys.Rev.D 104 (2021) 2, 026012

Published: Jul 15, 2021

e-Print:

1912.11201 [hep-th]

DOI:

10.1103/PhysRevD.104.026012 (publication)

View in:

reference search31 citations

Citations per year

Abstract: (APS)

In this work, we consider the question of local Hilbert space factorization in 2D conformal field theory. Generalizing previous work on entanglement and open-closed TQFT, we interpret the factorization of CFT states in terms of path integral processes that split and join the Hilbert spaces of circles and intervals. More abstractly, these processes are cobordisms of an extended CFT which are defined purely in terms of the OPE data. In addition to the usual sewing axioms, we impose an entanglement boundary condition that is satisfied by the vacuum Ishibashi state. This choice of entanglement boundary state leads to reduced density matrices that sum over super-selection sectors, which we identify as the CFT edge modes. Finally, we relate our factorization map to the coproduct formula for the CFT symmetry algebra, which we show is equivalent to a Boguliubov transformation in the case of a free boson.

Note:

Citations and footnote 1 added

field theory: conformal
field theory: topological
density matrix: reduced
symmetry: Kac-Moody
algebra: Kac-Moody
factorization
entanglement
Hilbert space
operator product expansion
boundary condition

References(30)

Figures(14)

[1]

Entanglement branes, modular flow, and extended topological quantum field theory

- JHEP 10 (2019) 016
•
e-Print:
- 1811.10785
•
DOI:
- 10.1007/JHEP10(2019)016

[2]

Entanglement entropy and nonabelian gauge symmetry

William Donnelly
(
- Waterloo U., Math. Dept.
)

- Class.Quant.Grav. 31 (2014) 21, 214003
•
e-Print:
- 1406.7304
•
DOI:
- 10.1088/0264-9381/31/21/214003

[3]

Entanglement entropy in gauge theories and the holographic principle for electric strings

P.V. Buividovich
(
- Joint Inst. Power Nucl. Res., Minsk and
- Moscow, ITEP
)
,
M.I. Polikarpov
(
- Moscow, ITEP
)

- Phys.Lett.B 670 (2008) 141-145
•
e-Print:
- 0806.3376
•
DOI:
- 10.1016/j.physletb.2008.10.032

[4]

Local subsystems in gauge theory and gravity

- JHEP 09 (2016) 102
•
e-Print:
- 1601.04744
•
DOI:
- 10.1007/JHEP09(2016)102

[5]

Entanglement Entropy in Jackiw-Teitelboim Gravity

Daniel Louis Jafferis
(
- Harvard U.
)
,
David K. Kolchmeyer
(
- Harvard U.
)

e-Print:
- 1911.10663

[6]

D-branes and K-theory in 2D topological field theory

Gregory W. Moore
(
- Rutgers U., Piscataway
)
,
Graeme Segal
(
- Oxford U.
)

e-Print:
- hep-th/0609042

[7]

Sewing constraints for conformal field theories on surfaces with boundaries

David C. Lewellen
(
- Santa Barbara, KITP
)

- Nucl.Phys.B 372 (1992) 654-682
•
DOI:
- 10.1016/0550-3213(92)90370-Q

[8]

Physics at the entangling surface

Kantaro Ohmori
(
- Tokyo U.
)
,
Yuji Tachikawa
(
- Tokyo U. and
- Tokyo U., IPMU
)

- J.Stat.Mech. 1504 (2015) P04010
•
e-Print:
- 1406.4167
•
DOI:
- 10.1088/1742-5468/2015/04/P04010

[9]

Fusion in conformal field theory as the tensor product of the symmetry algebra

Matthias Gaberdiel
(
- Cambridge U.
)

- Int.J.Mod.Phys.A 9 (1994) 4619-4636
•
e-Print:
- hep-th/9307183
•
DOI:
- 10.1142/S0217751X94001849

[10]

Building up spacetime with quantum entanglement II: It from BC-bit

Mark Van Raamsdonk
(
- British Columbia U.
)

e-Print:
- 1809.01197

[11]

Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras

e-Print:
- math/0510664

[12]

Completeness conditions for boundary operators in 2-D conformal field theory

G. Pradisi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
A. Sagnotti
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Ya.S. Stanev
(
- Rome U., Tor Vergata and
- INFN, Rome
)

- Phys.Lett.B 381 (1996) 97-104
•
e-Print:
- hep-th/9603097
•
DOI:
- 10.1016/0370-2693(96)00578-3

[13]

Entanglement Entropy and Boundary Conditions in 1+1 Dimensions

Ben Michel
(
- UC, Santa Barbara
)
,
Mark Srednicki
(
- UC, Santa Barbara
)

e-Print:
- 1612.08682

[14]

Disk entanglement entropy for a Maxwell field

- Phys.Rev.D 89 (2014) 2, 025018
•
e-Print:
- 1310.4886
•
DOI:
- 10.1103/PhysRevD.89.025018

[15]

Scalar Asymptotic Charges and Dual Large Gauge Transformations

Miguel Campiglia
(
- Republica U., Montevideo
)
,
Laurent Freidel
(
- Perimeter Inst. Theor. Phys.
)
,
Florian Hopfmueller
(
- Perimeter Inst. Theor. Phys.
)
,
Ronak M. Soni
(
- Perimeter Inst. Theor. Phys. and
- Tata Inst. and
- Stanford U., ITP
)

- JHEP 04 (2019) 003
•
e-Print:
- 1810.04213
•
DOI:
- 10.1007/JHEP04(2019)003

[16]

Comments on defining entanglement entropy

- Nucl.Phys.B 958 (2020) 115118
•
e-Print:
- 1808.05939
•
DOI:
- 10.1016/j.nuclphysb.2020.115118

[17]

Remarks on entanglement entropy for gauge fields

- Phys.Rev.D 89 (2014) 8, 085012
•
e-Print:
- 1312.1183
•
DOI:
- 10.1103/PhysRevD.89.085012

[18]

Bose-Fermi duality and entanglement entropies

Matthew Headrick
(
- Harvard U. and
- Brandeis U.
)
,
Albion Lawrence
(
- Brandeis U.
)
,
Matthew Roberts
(
- New York U. and
- New York U., CCPP
)

- J.Stat.Mech. 1302 (2013) P02022
•
e-Print:
- 1209.2428
•
DOI:
- 10.1088/1742-5468/2013/02/P02022

[19]

Entanglement entropy in Jackiw-Teitelboim Gravity

Jennifer Lin
(
- Princeton, Inst. Advanced Study
)

e-Print:
- 1807.06575

[20]

Classical and Quantum Conformal Field Theory

- Commun.Math.Phys. 123 (1989) 177
•
DOI:
- 10.1007/BF01238857

[21]

Conformal boundary states for free bosons and fermions

- JHEP 11 (2001) 016
•
e-Print:
- hep-th/0108238
•
DOI:
- 10.1088/1126-6708/2001/11/016

[22]

Ryu-Takayanagi Area as an Entanglement Edge Term

Jennifer Lin
(
- Princeton, Inst. Advanced Study
)

e-Print:
- 1704.07763

[23]

Aspects of AdS/BCFT

Mitsutoshi Fujita
(
- Tokyo U., IPMU
)
,
Tadashi Takayanagi
(
- Tokyo U., IPMU
)
,
Erik Tonni
(
- MIT, LNS
)

- JHEP 11 (2011) 043
•
e-Print:
- 1108.5152
•
DOI:
- 10.1007/JHEP11(2011)043

[24]

Noncommutativity of closed string zero modes

- Phys.Rev.D 96 (2017) 6, 066003
•
e-Print:
- 1707.00312
•
DOI:
- 10.1103/PhysRevD.96.066003

[25]

Intrinsic non-commutativity of closed string theory

- JHEP 09 (2017) 060
•
e-Print:
- 1706.03305
•
DOI:
- 10.1007/JHEP09(2017)060

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