The kinematical AdS$_{5} \times$ S$^{5}$ Neumann coefficient - INSPIRE

DataBETA

The kinematical AdS $_{5} \times$ S $^{5}$ Neumann coefficient

Dec 4, 2015

24 pages

Published in:

JHEP 02 (2016) 138

Published: Feb 22, 2016

e-Print:

1512.01471 [hep-th]

DOI:

10.1007/JHEP02(2016)138

View in:

ADS Abstract Service

reference search12 citations

Citations per year

Abstract: (Springer)

For the case of two particles a solution of the string field theory vertex axioms can be factorized into a standard form factor and a kinematical piece which includes the dependence on the size of the third string. In this paper we construct an exact solution of the kinematical axioms for AdS

_{5}

× S

^{5}

which includes all order wrapping corrections w.r.t. the size of the third string. This solution is expressed in terms of elliptic Gamma functions and ordinary elliptic functions. The solution is valid at any coupling and we analyze its weak coupling, pp-wave and large L limit.

Note:

24 pages, 4 figures

AdS-CFT Correspondence
Integrable Field Theories
String Field Theory
field theory: string
kinematics
weak coupling
two-particle
form factor
pp-wave

References(20)

Figures(4)

[1]

String field theory vertex from integrability

- JHEP 04 (2015) 042
•
e-Print:
- 1501.04533
•
DOI:
- 10.1007/JHEP04(2015)042

[2]

Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory

Benjamin Basso
(
- Ecole Normale Superieure and
- ICTP-SAIFR, Sao Paulo
)
,
Shota Komatsu
(
- ICTP-SAIFR, Sao Paulo and
- Perimeter Inst. Theor. Phys.
)
,
Pedro Vieira
(
- ICTP-SAIFR, Sao Paulo and
- Perimeter Inst. Theor. Phys.
)

e-Print:
- 1505.06745

[3]

Three-point functions in ${\cal N}=4$ SYM: the hexagon proposal at three loops

- JHEP 02 (2016) 165
•
e-Print:
- 1510.01242
•
DOI:
- 10.1007/JHEP02(2016)165

[4]

Gluing Hexagons at Three Loops

Benjamin Basso
(
- Ecole Normale Superieure
)
,
Vasco Goncalves
(
- Porto U. and
- Porto U., Astron. Dept.
)
,
Shota Komatsu
(
- Perimeter Inst. Theor. Phys.
)
,
Pedro Vieira
(
- Perimeter Inst. Theor. Phys.
)

- Nucl.Phys.B 907 (2016) 695-716
•
e-Print:
- 1510.01683
•
DOI:
- 10.1016/j.nuclphysb.2016.04.020

[5]

Diagonal form factors and hexagon form factors

Yunfeng Jiang
(
- Zurich, ETH
)
,
Andrei Petrovskii
(
- IPhT, Saclay
)

- JHEP 07 (2016) 120
•
e-Print:
- 1511.06199
•
DOI:
- 10.1007/JHEP07(2016)120

[6]

HHL correlators, orbit averaging and form factors

Zoltan Bajnok
(
- Wigner RCP, Budapest
)
,
Romuald A. Janik
(
- Jagiellonian U.
)
,
Andrzej Wereszczyński
(
- Jagiellonian U.
)

- JHEP 09 (2014) 050
•
e-Print:
- 1404.4556
•
DOI:
- 10.1007/JHEP09(2014)050

[7]

Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling

Laszlo Hollo
(
- Wigner RCP, Budapest
)
,
Yunfeng Jiang
(
- IPhT, Saclay
)
,
Andrei Petrovskii
(
- IPhT, Saclay
)

- JHEP 09 (2015) 125
•
e-Print:
- 1504.07133
•
DOI:
- 10.1007/JHEP09(2015)125

[8]

The AdS(5) x S**5 superstring worldsheet S-matrix and crossing symmetry

Romuald A. Janik
(
- Jagiellonian U.
)

- Phys.Rev.D 73 (2006) 086006
•
e-Print:
- hep-th/0603038
•
DOI:
- 10.1103/PhysRevD.73.086006

[9]

On the plane wave cubic vertex

- Phys.Rev.D 70 (2004) 026005
•
e-Print:
- hep-th/0402185
•
DOI:
- 10.1103/PhysRevD.70.026005

[10]

Form-factors for integrable Lagrangian field theories, the sinh-Gordon theory

- Nucl.Phys.B 393 (1993) 413-441
•
e-Print:
- hep-th/9211053
•
DOI:
- 10.1016/0550-3213(93)90252-K

[11]

Exact form factors of the O(N) $\sigma$ -model

- JHEP 11 (2013) 089
•
e-Print:
- 1308.1459
•
DOI:
- 10.1007/JHEP11(2013)089

[12]

Foundations of the AdS $_{5} \times S^{5}$ Superstring. Part I

- J.Phys.A 42 (2009) 254003
•
e-Print:
- 0901.4937
•
DOI:
- 10.1088/1751-8113/42/25/254003

[13]

The elliptic gamma function and SL(3,Z) x Z3

G. Felder
,
A. Varchenko

- Adv.Math. 156 (2000) 44
•
e-Print:
- math/9907061

[14]

Comments on World-Sheet Form Factors in AdS/CFT

Thomas Klose
(
- Uppsala U.
)
,
Tristan McLoughlin
(
- Trinity Coll., Dublin
)

- J.Phys.A 47 (2014) 5, 055401
•
e-Print:
- 1307.3506
•
DOI:
- 10.1088/1751-8113/47/5/055401

[15]

Worldsheet Form Factors in AdS/CFT

- Phys.Rev.D 87 (2013) 2, 026004
•
e-Print:
- 1208.2020
•
DOI:
- 10.1103/PhysRevD.87.026004

[16]

The hexagon in the mirror: the three-point function in the SoV representation

Yunfeng Jiang
(
- IPhT, Saclay
)
,
Shota Komatsu
(
- Perimeter Inst. Theor. Phys.
)
,
Ivan Kostov
(
- IPhT, Saclay
)
,
Didina Serban
(
- IPhT, Saclay
)

- J.Phys.A 49 (2016) 17, 174007
•
e-Print:
- 1506.09088
•
DOI:
- 10.1088/1751-8113/49/17/174007

[17]

String Bits and the Spin Vertex

- Nucl.Phys.B 897 (2015) 374-404
•
e-Print:
- 1410.8860
•
DOI:
- 10.1016/j.nuclphysb.2015.05.029

[18]

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

[19]

Fixing the Quantum Three-Point Function

Yunfeng Jiang
(
- IPhT, Saclay
)
,
Ivan Kostov
(
- IPhT, Saclay
)
,
Florian Loebbert
(
- Princeton, Inst. Advanced Study and
- Bohr Inst.
)
,
Didina Serban
(
- IPhT, Saclay
)

- JHEP 04 (2014) 019
•
e-Print:
- 1401.0384
•
DOI:
- 10.1007/JHEP04(2014)019

[20]

From Spin Vertex to String Vertex

Yunfeng Jiang
(
- IPhT, Saclay
)
,
Andrei Petrovskii
(
- IPhT, Saclay
)

- JHEP 06 (2015) 172
•
e-Print:
- 1412.2256
•
DOI:
- 10.1007/JHEP06(2015)172