Structure constants of operators on the Wilson loop from integrability - INSPIRE

DataBETA

Structure constants of operators on the Wilson loop from integrability

Minkyoo Kim
(
- Witwatersrand U. and
- Wigner RCP, Budapest
)
,
Naoki Kiryu
(
- Tokyo U.
)

Jun 9, 2017

39 pages

Published in:

JHEP 11 (2017) 116

Published: Nov 20, 2017

e-Print:

1706.02989 [hep-th]

DOI:

10.1007/JHEP11(2017)116

Report number:

UT-KOMABA-17-3,
UT-Komaba 17-3

View in:

reference search16 citations

Citations per year

Abstract: (Springer)

We study structure constants of local operators inserted on the Wilson loop in

\mathcal{N}=4

super Yang-Mills theory. We conjecture the finite coupling expression of the structure constant which is interpreted as one hexagon with three mirror edges contracted by the boundary states. This is consistent with a holographic description of the correlator as the cubic open string vertex which consists of one hexagonal patch and three boundaries. We check its validity at the weak coupling where the asymptotic expression reduces to the summation over all possible ways of changing the signs of magnon momenta in the hexagon form factor. For this purpose, we compute the structure constants in the SU(2) sector at tree level using the correspondence between operators on the Wilson loop and the open spin chain. The result is nicely matched with our conjecture at the weak coupling regime.

Note:

38 pages; v3: JHEP published version

AdS-CFT Correspondence
Integrable Field Theories
Wilson, ’t Hooft and Polyakov loops
operator: local
spin: chain
Wilson loop
correlation function
integrability
weak coupling
supersymmetry: 4

References(69)

Figures(14)

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

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

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

Review of AdS/CFT Integrability: An Overview

Niklas Beisert
(
- Potsdam, Max Planck Inst.
)
,
Changrim Ahn
(
- Ewha Women's U., Seoul
)
,
Luis F. Alday
(
- Oxford U. and
- Princeton, Inst. Advanced Study
)
,
Zoltan Bajnok
(
- Hungarian Acad. Sci., Budapest
)
,
James M. Drummond
(
- CERN and
- Annecy, LAPTH
)

et al.

- Lett.Math.Phys. 99 (2012) 3-32
•
e-Print:
- 1012.3982
•
DOI:
- 10.1007/s11005-011-0529-2

A simple model of quantum holography, talk at KITP, University of California, Santa Barbara U.S.A / 7 April

A. Kitaev

Gapless spin fluid ground state in a random, quantum Heisenberg magnet

Subir Sachdev
(
- Yale U.
)
,
Jinwu Ye
(
- Yale U.
)

- Phys.Rev.Lett. 70 (1993) 3339
•
e-Print:
- cond-mat/9212030
•
DOI:
- 10.1103/PhysRevLett.70.3339

Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings

- Nucl.Phys.B 727 (2005) 1-62
•
e-Print:
- hep-th/0504190
•
DOI:
- 10.1016/j.nuclphysb.2005.06.038

The SU(2|2) dynamic S-matrix

Niklas Beisert
(
- Princeton U.
)

- Adv.Theor.Math.Phys. 12 (2008) 945-979
•
e-Print:
- hep-th/0511082
•
DOI:
- 10.4310/ATMP.2008.v12.n5.a1

The Zamolodchikov-Faddeev algebra for AdS(5) x S**5 superstring

Gleb Arutyunov
(
- Utrecht U.
)
,
Sergey Frolov
(
- Trinity Coll., Dublin
)
,
Marija Zamaklar
(
- Potsdam, Max Planck Inst.
)

- JHEP 04 (2007) 002
•
e-Print:
- hep-th/0612229
•
DOI:
- 10.1088/1126-6708/2007/04/002

Finite-size Effects from Giant Magnons

Gleb Arutyunov
(
- Utrecht U.
)
,
Sergey Frolov
(
- Potsdam, Max Planck Inst.
)
,
Marija Zamaklar
(
- Potsdam, Max Planck Inst.
)

- Nucl.Phys.B 778 (2007) 1-35
•
e-Print:
- hep-th/0606126
•
DOI:
- 10.1016/j.nuclphysb.2006.12.026

Wrapping interactions at strong coupling: The Giant magnon

Romuald A. Janik
(
- Jagiellonian U.
)
,
Tomasz Lukowski
(
- Jagiellonian U.
)

- Phys.Rev.D 76 (2007) 126008
•
e-Print:
- 0708.2208
•
DOI:
- 10.1103/PhysRevD.76.126008

Four-loop perturbative Konishi from strings and finite size effects for multiparticle states

Zoltan Bajnok
(
- Eotvos U.
)
,
Romuald A. Janik
(
- Jagiellonian U.
)

- Nucl.Phys.B 807 (2009) 625-650
•
e-Print:
- 0807.0399
•
DOI:
- 10.1016/j.nuclphysb.2008.08.020

Quantum spectral curve for arbitrary state/operator in AdS $_{5}$ /CFT $_{4}$

Nikolay Gromov
(
- King's Coll. London, Dept. Math and
- St. Petersburg, INP
)
,
Vladimir Kazakov
(
)
,
Sébastien Leurent
(
- Bourgogne U.
)
,
Dmytro Volin
(
- Nordita and
- Trinity Coll., Dublin and
- Stockholm U. (main)
)

- JHEP 09 (2015) 187
•
e-Print:
- 1405.4857
•
DOI:
- 10.1007/JHEP09(2015)187

Six-loop anomalous dimension of twist-two operators in planar $\mathcal{N}=4$ SYM theory

Christian Marboe
(
- Trinity Coll., Dublin
)
,
Vitaly Velizhanin
(
)
,
Dmytro Volin
(
- Trinity Coll., Dublin
)

- JHEP 07 (2015) 084
•
e-Print:
- 1412.4762
•
DOI:
- 10.1007/JHEP07(2015)084

Tailoring Three-Point Functions and Integrability

- JHEP 09 (2011) 028
•
e-Print:
- 1012.2475
•
DOI:
- 10.1007/JHEP09(2011)028

Three-point functions in N = 4 SYM theory at one-loop

Kazumi Okuyama
(
- Chicago U., EFI
)
,
Li-Sheng Tseng
(
- Chicago U., EFI and
- Chicago U. and
- Utah U.
)

- JHEP 08 (2004) 055
•
e-Print:
- hep-th/0404190
•
DOI:
- 10.1088/1126-6708/2004/08/055

Yang-Mills correlation functions from integrable spin chains

- JHEP 09 (2004) 032
•
e-Print:
- hep-th/0407140
•
DOI:
- 10.1088/1126-6708/2004/09/032

Structure constants of planar N = 4 Yang Mills at one loop

Luis F. Alday
(
- Utrecht U.
)
,
Justin R. David
(
- ICTP, Trieste
)
,
Edi Gava
(
- ICTP, Trieste and
- INFN, Trieste and
- SISSA, Trieste
)
,
K.S. Narain
(
- ICTP, Trieste
)

- JHEP 09 (2005) 070
•
e-Print:
- hep-th/0502186
•
DOI:
- 10.1088/1126-6708/2005/09/070

Holographic three-point functions of semiclassical states

K. Zarembo
(
- Ecole Normale Superieure and
- Uppsala U.
)

- JHEP 09 (2010) 030
•
e-Print:
- 1008.1059
•
DOI:
- 10.1007/JHEP09(2010)030

On three-point correlation functions in the gauge/gravity duality

Miguel S. Costa
(
- Porto U.
)
,
Ricardo Monteiro
(
- Porto U. and
- Cambridge U., DAMTP
)
,
Jorge E. Santos
(
- Porto U. and
- Cambridge U., DAMTP
)
,
Dimitrios Zoakos
(
- Porto U.
)

- JHEP 11 (2010) 141
•
e-Print:
- 1008.1070
•
DOI:
- 10.1007/JHEP11(2010)141

Correlation functions of three heavy operators: The AdS contribution

- JHEP 12 (2011) 095
•
e-Print:
- 1109.6262
•
DOI:
- 10.1007/JHEP12(2011)095

On holographic three point functions for GKP strings from integrability

Yoichi Kazama
(
- Tokyo U., Komaba
)
,
Shota Komatsu
(
- Tokyo U., Komaba
)

- JHEP 01 (2012) 110,
- JHEP 06 (2012) 150 (erratum)
•
e-Print:
- 1110.3949
•
DOI:
- 10.1007/JHEP01(2012)110

Wave functions and correlation functions for GKP strings from integrability

Yoichi Kazama
(
- Tokyo U., Komaba
)
,
Shota Komatsu
(
- Tokyo U., Komaba
)

- JHEP 09 (2012) 022
•
e-Print:
- 1205.6060
•
DOI:
- 10.1007/JHEP09(2012)022

Three-point functions in the SU(2) sector at strong coupling

Yoichi Kazama
(
- Tokyo U., Komaba
)
,
Shota Komatsu
(
- Tokyo U., Komaba
)

- JHEP 03 (2014) 052
•
e-Print:
- 1312.3727
•
DOI:
- 10.1007/JHEP03(2014)052

Novel construction and the monodromy relation for three-point functions at weak coupling

Yoichi Kazama
(
- Tokyo U., Komaba
)
,
Shota Komatsu
(
- Perimeter Inst. Theor. Phys.
)
,
Takuya Nishimura
(
- Tokyo U., Komaba
)

- JHEP 01 (2015) 095,
- JHEP 08 (2015) 145 (erratum)
•
e-Print:
- 1410.8533
•
DOI:
- 10.1007/JHEP01(2015)095

1-25 of 69
1
2
3
25 / page