Role of Wilson Lines in 3D Quantum Gravity - INSPIRE

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Role of Wilson Lines in 3D Quantum Gravity

Ashwin Dushyantha Hegde
(
- UCLA, Los Angeles (main)
)

Sep 13, 2019

131 pages

Supervisor:

Per J. Kraus
(
- UCLA, Los Angeles (main)
)

Thesis: PhD

UCLA, Los Angeles (main)

(2019)

Published: Sep 13, 2019

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Abstract: (UCLA, Los Angeles (main))

Gravity in three dimensions and AdS3/CFT2 is an interesting playground to study someof the issues of quantum gravity. Using the Chern-Simons description of 3D gravity, weconstruct gravitational Wilson lines in asymptotiacally AdS spacetimes. In this thesis, westudy the role of gravitational Wilson lines and nd the correct dictionary to the dual CFT.On the CFT side, networks of Wilson lines correspond to semi-classical limits of conformalblocks. We establish some of the dictionary in Chapter 1. By explicit computation, we verifythese for the cases of pure gravity and particular instances of gravity with higher spin elds.In chapter 2 we develop the quantization of this Wilson line. We compute the gravitationalself energy of a particle in AdS3 to rst non-trivial order using a single boundaryto boundary Wilson line. In the CFT, this reproduces the 1=c correction to the two pointfunction of the corresponding primary operator.Various renormalization ambiguities arise at higher order. We study these in Chapter3 and extend the previous computation to order 1=c3, nding agreement with CFT results.Renormalization ambiguities are xed by imposing conformal invariance.

gravitation: energy
space-time: anti-de Sitter
invariance: conformal
operator: primary
particle: energy
dimension: 3
spin: high
Wilson loop
renormalization
quantum gravity

References(80)

Figures(0)

[1]

A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories

A. Achucarro
(
- Cambridge U.
)
,
P.K. Townsend
(
- Cambridge U.
)

- Phys.Lett.B 180 (1986) 89,
•
DOI:
- 10.1016/0370-2693(86)90140-1

[2]

Shockwaves from the Operator Product Expansion

- JHEP 03 (2019) 201
•
e-Print:
- 1709.03597
•
DOI:
- 10.1007/JHEP03(2019)201

[3]

Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity

- Nucl.Phys.B 323 (1989) 719-733
•
DOI:
- 10.1016/0550-3213(89)90130-2

[4]

Many-point classical conformal blocks and geodesic networks on the hyperbolic plane

K.B. Alkalaev
(
- Lebedev Inst. and
- Moscow, MIPT
)

- JHEP 12 (2016) 070
•
e-Print:
- 1610.06717
•
DOI:
- 10.1007/JHEP12(2016)070

[5]

Classical conformal blocks via AdS/CFT correspondence

K.B. Alkalaev
(
- Lebedev Inst. and
- Moscow, MIPT
)
,
V.A. Belavin
(
- Lebedev Inst. and
- IITP, Moscow
)

- JHEP 08 (2015) 049
•
e-Print:
- 1504.05943
•
DOI:
- 10.1007/JHEP08(2015)049

[6]

Holographic interpretation of 1-point toroidal block in the semiclassical limit

K.B. Alkalaev
(
- Lebedev Inst. and
- Moscow, MIPT
)
,
V.A. Belavin
(
- IITP, Moscow and
- Lebedev Inst.
)

- JHEP 06 (2016) 183
•
e-Print:
- 1603.08440
•
DOI:
- 10.1007/JHEP06(2016)183

[7]

Monodromic vs geodesic computation of Virasoro classical conformal blocks

Konstantin B. Alkalaev
(
- Lebedev Inst. and
- Moscow, MIPT
)
,
V.A. Belavin
(
- IITP, Moscow and
- Lebedev Inst.
)

- Nucl.Phys.B 904 (2016) 367-385
•
e-Print:
- 1510.06685
•
DOI:
- 10.1016/j.nuclphysb.2016.01.019

[8]

Wilson Lines and Entanglement Entropy in Higher Spin Gravity

Martin Ammon
(
- Jena U., TPI and
- UCLA
)
,
Alejandra Castro
(
- Harvard U.
)
,
Nabil Iqbal
(
- Santa Barbara, KITP
)

- JHEP 10 (2013) 110
•
e-Print:
- 1306.4338
•
DOI:
- 10.1007/JHEP10(2013)110

[9]

Black holes in three dimensional higher spin gravity: A review

- J.Phys.A 46 (2013) 214001
•
e-Print:
- 1208.5182
•
DOI:
- 10.1088/1751-8113/46/21/214001

[10]

Scalar fields and three-point functions in D=3 higher spin gravity

- JHEP 07 (2012) 113
•
e-Print:
- 1111.3926
•
DOI:
- 10.1007/JHEP07(2012)113

[11]

An Exact Operator That Knows Its Location

Nikhil Anand
(
- Johns Hopkins U.
)
,
Hongbin Chen
(
- Johns Hopkins U.
)
,
A. Liam Fitzpatrick
(
- Boston U.
)
,
Jared Kaplan
(
- UC, Davis, QMAP and
- Johns Hopkins U. and
- Stanford U., ITP
)
,
Daliang Li
(
- Johns Hopkins U.
)

- JHEP 02 (2018) 012
•
e-Print:
- 1708.04246
•
DOI:
- 10.1007/JHEP02(2018)012

[12]

Three-dimensional quantum geometry and black holes

Maximo Banados
(
- Zaragoza U.
)

- AIP Conf.Proc. 484 (1999) 1, 147-169
•
e-Print:
- hep-th/9901148
•
DOI:
- 10.1063/1.59661

[13]

Pinaki Banerjee, Shouvik Datta, and Ritam Sinha. Higher-point conformal blocks and entanglement entropy in heavy states

[14]

Hidden SL(n) Symmetry in Conformal Field Theories

- Commun.Math.Phys. 126 (1989) 49,
•
DOI:
- 10.1007/BF02124331

[15]

Holographic conformal blocks from interacting Wilson lines

- JHEP 08 (2016) 099
•
e-Print:
- 1603.07317
•
DOI:
- 10.1007/JHEP08(2016)099

[16]

Mert Besken, Ashwin Hegde, and Per Kraus. Anomalous dimensions from quantum Wilson lines.. 114

[17]

Atanu Bhatta, Prashanth Raman, and Nemani V. Suryanarayana. Holographic Conformal Partial Waves as Gravitational Open Wilson Networks

[18]

An Example of Dimensional Regularization With Antisymmetric Tensors

Michiel Bos
(
- MIT, LNS
)

- Annals Phys. 181 (1988) 177
•
DOI:
- 10.1016/0003-4916(88)90164-9

[19]

Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity

J.David Brown
(
- Texas U.
)
,
M. Henneaux
(
- Texas U.
)

- Commun.Math.Phys. 104 (1986) 207-226,
- Commun. Math. Phys. 104 ( 1986) 207-226
•
DOI:
- 10.1007/BF01211590

[20]

Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

- JHEP 11 (2010) 007
•
e-Print:
- 1008.4744
•
DOI:
- 10.1007/JHEP11(2010)007

[21]

A note on conical solutions in 3D Vasiliev theory

Andrea Campoleoni
(
- Intl. Solvay Inst., Brussels and
- Brussels U.
)
,
Tomas Prochazka
(
- Prague, Inst. Phys.
)
,
Joris Raeymaekers
(
- Prague, Inst. Phys.
)

- JHEP 05 (2013) 052
•
e-Print:
- 1303.0880
•
DOI:
- 10.1007/JHEP05(2013)052

[22]

Bruno Carneiro da Cunha and Monica Guica. Exploring the BTZ bulk with boundary conformal blocks

[23]

Conical Defects in Higher Spin Theories

Alejandra Castro
(
- McGill U.
)
,
Rajesh Gopakumar
(
- Harish-Chandra Res. Inst.
)
,
Michael Gutperle
(
- UCLA
)
,
Joris Raeymaekers
(
- Prague, Inst. Phys.
)

- JHEP 02 (2012) 096
•
e-Print:
- 1111.3381
•
DOI:
- 10.1007/JHEP02(2012)096

[24]

Alejandra Castro, Nabil Iqbal, and Eva Llabrés. Eternal Higher Spin Black Holes: a Thermofield Interpretation

[25]

Unravelling Holographic Entanglement Entropy in Higher Spin Theories

Alejandra Castro
(
- Amsterdam U.
)
,
Eva Llabrés
(
- Amsterdam U.
)

- JHEP 03 (2015) 124
•
e-Print:
- 1410.2870
•
DOI:
- 10.1007/JHEP03(2015)124

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