Universal Lowest-Twist in CFTs from Holography - INSPIRE

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Universal Lowest-Twist in CFTs from Holography

A. Liam Fitzpatrick
(
- Boston U.
)
,
Kuo-Wei Huang
(
- Boston U.
)

Mar 13, 2019

61 pages

Published in:

JHEP 08 (2019) 138

Published: Aug 26, 2019

e-Print:

1903.05306 [hep-th]

DOI:

10.1007/JHEP08(2019)138 (publication)

View in:

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Abstract: (Springer)

We probe the conformal block structure of a scalar four-point function in d ≥ 2 conformal field theories by including higher-order derivative terms in a bulk gravitational action. We consider a heavy-light four-point function as the boundary correlator at large central charge. Such a four-point function can be computed, on the gravity side, as a two-point function of the light operator in a black hole geometry created by the heavy operator. We consider analytically solving the corresponding scalar field equation in a near-boundary expansion and find that the multi-stress tensor conformal blocks are insensitive to the horizon boundary condition. The main result of this paper is that the lowest-twist operator product expansion (OPE) coefficients of the multi-stress tensor conformal blocks are universal: they are fixed by the dimension of the light operators and the ratio between the dimension of the heavy operator and the central charge C

_{T}

. Neither supersymmetry nor unitary is assumed. Higher-twist coefficients, on the other hand, generally are not protected. A recursion relation allows us to efficiently compute universal lowest-twist coefficients. The universality result hints at the potential existence of a higher-dimensional Virasoro-like symmetry near the lightcone. While we largely focus on the planar black hole limit in this paper, we include some preliminary analysis of the spherical black hole case in an appendix.

Note:

63 pp; v2: comments on additional bulk interactions added

AdS-CFT Correspondence
Conformal Field Theory
Field Theories in Higher Dimensions
n-point function: 4
field theory: conformal
black hole: geometry
field equations: scalar
field theory: scalar
gravitation: action
conformal block

References(59)

Figures(9)

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

Anti de Sitter space and holography

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 253-291
•
e-Print:
- hep-th/9802150
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a2

Gauge theory correlators from noncritical string theory

S.S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 428 (1998) 105-114
•
e-Print:
- hep-th/9802109
•
DOI:
- 10.1016/S0370-2693(98)00377-3

Holography from Conformal Field Theory

Idse Heemskerk
(
- UC, Santa Barbara
)
,
Joao Penedones
(
- Santa Barbara, KITP
)
,
Joseph Polchinski
(
- Santa Barbara, KITP
)
,
James Sully
(
- UC, Santa Barbara
)

- JHEP 10 (2009) 079
•
e-Print:
- 0907.0151
•
DOI:
- 10.1088/1126-6708/2009/10/079

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

Eternal black holes in anti-de Sitter

Juan Martin Maldacena
(
- Harvard U. and
- Princeton, Inst. Advanced Study
)

- JHEP 04 (2003) 021
•
e-Print:
- hep-th/0106112
•
DOI:
- 10.1088/1126-6708/2003/04/021

Universality of Long-Distance AdS Physics from the CFT Bootstrap

A.Liam Fitzpatrick
(
- Stanford U., ITP and
- SLAC
)
,
Jared Kaplan
(
- Johns Hopkins U.
)
,
Matthew T. Walters
(
- Johns Hopkins U.
)

- JHEP 08 (2014) 145
•
e-Print:
- 1403.6829
•
DOI:
- 10.1007/JHEP08(2014)145

Virasoro Conformal Blocks and Thermality from Classical Background Fields

A. Liam Fitzpatrick
(
- SLAC and
- Stanford U., ITP
)
,
Jared Kaplan
(
- Johns Hopkins U.
)
,
Matthew T. Walters
(
- Boston U.
)

- JHEP 11 (2015) 200
•
e-Print:
- 1501.05315
•
DOI:
- 10.1007/JHEP11(2015)200

Entanglement Entropy at Large Central Charge

Thomas Hartman
(
- Princeton, Inst. Advanced Study
)

e-Print:
- 1303.6955

Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches

Curtis T. Asplund
(
- Columbia U.
)
,
Alice Bernamonti
(
- Leuven U.
)
,
Federico Galli
(
- Leuven U.
)
,
Thomas Hartman
(
- Cornell U., Phys. Dept.
)

- JHEP 02 (2015) 171
•
e-Print:
- 1410.1392
•
DOI:
- 10.1007/JHEP02(2015)171

Holographic Entanglement Entropy For a Large Class of States in 2D CFT

Bin Chen
(
- Peking U. and
- Peking U., SKLNPT and
- CICQM, Beijing and
- Peking U., CHEP
)
,
Jie-qiang Wu
(
- Peking U. and
- Peking U., SKLNPT
)

- JHEP 09 (2016) 015
•
e-Print:
- 1605.06753
•
DOI:
- 10.1007/JHEP09(2016)015

Holographic Description of 2D Conformal Block in Semi-classical Limit

Bin Chen
(
- CICQM, Beijing and
- Peking U. and
- Peking U., CHEP and
- Peking U., SKLNPT
)
,
Jie-qiang Wu
(
- Peking U. and
- Peking U., SKLNPT
)
,
Jia-ju Zhang
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)

- JHEP 10 (2016) 110
•
e-Print:
- 1609.00801
•
DOI:
- 10.1007/JHEP10(2016)110

Holographic derivation of entanglement entropy from AdS/CFT

- Phys.Rev.Lett. 96 (2006) 181602
•
e-Print:
- hep-th/0603001
•
DOI:
- 10.1103/PhysRevLett.96.181602

Two-dimensional conformal field theory and the butterfly effect

- Phys.Rev.Lett. 115 (2015) 13, 131603
•
e-Print:
- 1412.5123
•
DOI:
- 10.1103/PhysRevLett.115.131603

Phases of scrambling in eigenstates

- SciPost Phys. 7 (2019) 003
•
e-Print:
- 1903.03143
•
DOI:
- 10.21468/SciPostPhys.7.1.003

On information loss in AdS $_{3}$ /CFT $_{2}$

- JHEP 05 (2016) 109
•
e-Print:
- 1603.08925
•
DOI:
- 10.1007/JHEP05(2016)109

A Numerical Approach to Virasoro Blocks and the Information Paradox

Hongbin Chen
(
- Johns Hopkins U.
)
,
Charles Hussong
(
- Johns Hopkins U.
)
,
Jared Kaplan
(
- Johns Hopkins U.
)
,
Daliang Li
(
- Johns Hopkins U.
)

- JHEP 09 (2017) 102
•
e-Print:
- 1703.09727
•
DOI:
- 10.1007/JHEP09(2017)102

Higher-point conformal blocks and entanglement entropy in heavy states

Pinaki Banerjee
(
- IMSc, Chennai
)
,
Shouvik Datta
(
- ETH, Zurich
)
,
Ritam Sinha
(
- TIFR, Mumbai, Dept. Theor. Phys.
)

- JHEP 05 (2016) 127
•
e-Print:
- 1601.06794
•
DOI:
- 10.1007/JHEP05(2016)127

Semiclassical Virasoro blocks from AdS $_{3}$ gravity

- JHEP 12 (2015) 077
•
e-Print:
- 1508.04987
•
DOI:
- 10.1007/JHEP12(2015)077

Worldline approach to semi-classical conformal blocks

- JHEP 07 (2015) 131
•
e-Print:
- 1501.02260
•
DOI:
- 10.1007/JHEP07(2015)131

Universal Spectrum of 2d Conformal Field Theory in the Large c Limit

Thomas Hartman
(
- Santa Barbara, KITP
)
,
Christoph A. Keller
(
- Rutgers U., Piscataway
)
,
Bogdan Stoica
(
- Caltech
)

- JHEP 09 (2014) 118
•
e-Print:
- 1405.5137
•
DOI:
- 10.1007/JHEP09(2014)118

Black Hole Collapse in the 1/c Expansion

Tarek Anous
(
- MIT, Cambridge, CTP
)
,
Thomas Hartman
(
- Cornell U., Phys. Dept.
)
,
Antonin Rovai
(
- MIT, Cambridge, CTP and
- Geneva U., Dept. Theor. Phys.
)
,
Julian Sonner
(
- MIT, Cambridge, CTP and
- Geneva U., Dept. Theor. Phys.
)

- JHEP 07 (2016) 123
•
e-Print:
- 1603.04856
•
DOI:
- 10.1007/JHEP07(2016)123

Black Holes, Heavy States, Phase Shift and Anomalous Dimensions

- SciPost Phys. 6 (2019) 6, 065
•
e-Print:
- 1812.03120
•
DOI:
- 10.21468/SciPostPhys.6.6.065

Hawking from Catalan

A. Liam Fitzpatrick
(
- SLAC and
- Stanford U., ITP and
- Boston U.
)
,
Jared Kaplan
(
- Johns Hopkins U.
)
,
Matthew T. Walters
(
- Boston U.
)
,
Junpu Wang
(
- Johns Hopkins U.
)

- JHEP 05 (2016) 069
•
e-Print:
- 1510.00014
•
DOI:
- 10.1007/JHEP05(2016)069

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

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