Reciprocity of gauge operators in N=4 SYM

Beccaria, Matteo; Forini, Valentina

doi:10.1088/1126-6708/2008/06/077

Reciprocity of gauge operators in N=4 SYM

Matteo Beccaria
(
- Salento U. and
- INFN, Lecce
)
,
Valentina Forini
(
- Humboldt U., Berlin
)

Mar, 2008

36 pages

Published in:

JHEP 06 (2008) 077

e-Print:

0803.3768 [hep-th]

DOI:

10.1088/1126-6708/2008/06/077

Report number:

HU-EP-08-07

View in:

reference search27 citations

Citations per year

Abstract: (arXiv)

A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in N=4 SYM. Here, we consider a class of scaling psu(2,2|4) operators that reduce at one-loop to twist-3 maximal helicity gluonic operators. We extract from the asymptotic long-range Bethe Ansatz a closed expression for the spin dependent anomalous dimension at four loop order and provide a complete proof of reciprocity. We comment about the interplay with possible, yet unknown, wrapping corrections.

integrable quantum field theory
integrable spin chains (vertex models)
quantum integrability (Bethe ansatz)
gauge field theory: Yang-Mills
supersymmetry: 4
supersymmetry: multiplet
spin: high
twist
Bethe ansatz
scaling: violation

References(98)

Figures(0)

Exact solution describing a shallow water flow in an extending stripe

Sergey V. Golovin
(
- Novosibirsk, Hydrodynamics Inst.
)

e-Print:
- 0802.4134

- J.Phys.A 38 4501

- J.Phys.A 39 7579

Multidimensional fluid motions with planar waves

Sergey V. Golovin
(
- Novosibirsk, Hydrodynamics Inst.
)

- J.Appl.Mech.Tech.Phys. 49 (2008) 725-736,
- Journal of Applied Mechanics and Technical Physics 49 (2008) 725-736
•
e-Print:
- 0705.2311
•
DOI:
- 10.1007/s10808-008-0091-6

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

Classical/quantum integrability in AdS/CFT

V.A. Kazakov
(
- Poincare Inst.
)
,
A. Marshakov
(
- Lebedev Inst. and
- Moscow, ITEP and
- IHES, Bures-sur-Yvette
)
,
J.A. Minahan
(
- Uppsala U., Inst. Theor. Phys. and
- MIT, LNS
)
,
K. Zarembo
(
- Uppsala U., Inst. Theor. Phys. and
- Moscow, ITEP
)

- JHEP 05 (2004) 024
•
e-Print:
- hep-th/0402207
•
DOI:
- 10.1088/1126-6708/2004/05/024

TASI lectures: Introduction to the AdS / CFT correspondence

Igor R. Klebanov
(
- Princeton U.
)

Hidden Symmetries of the AdS $_5 \times S^5$ Superstring

Iosif Bena
(
- UCLA
)
,
Joseph Polchinski
(
- Santa Barbara, KITP
)
,
Radu Roiban
(
- UC, Santa Barbara
)

- Phys.Rev.D 69 (2004) 046002
•
e-Print:
- hep-th/0305116
•
DOI:
- 10.1103/PhysRevD.69.046002

The Dilatation operator of N=4 super Yang-Mills theory and integrability

Niklas Beisert
(
- Humboldt U., Berlin and
- Potsdam, Max Planck Inst.
)

- Phys.Rept. 405 (2004) 1-202
•
e-Print:
- hep-th/0407277
•
DOI:
- 10.1016/j.physrep.2004.09.007

The complete one loop dilatation operator of N=4 superYang-Mills theory

Niklas Beisert
(
- Potsdam, Max Planck Inst.
)

- Nucl.Phys.B 676 (2004) 3-42
•
e-Print:
- hep-th/0307015
•
DOI:
- 10.1016/j.nuclphysb.2003.10.019

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

Bethe ansatz for quantum strings

- JHEP 10 (2004) 016
•
e-Print:
- hep-th/0406256
•
DOI:
- 10.1088/1126-6708/2004/10/016

Stringing spins and spinning strings

N. Beisert
(
- Potsdam, Max Planck Inst.
)
,
J.A. Minahan
(
- Uppsala U., Inst. Theor. Phys.
)
,
M. Staudacher
(
- Potsdam, Max Planck Inst.
)
,
K. Zarembo
(
- Uppsala U., Inst. Theor. Phys. and
- Moscow, ITEP
)

- JHEP 09 (2003) 010
•
e-Print:
- hep-th/0306139
•
DOI:
- 10.1088/1126-6708/2003/09/010

Precision spectroscopy of AdS / CFT

N. Beisert
(
- Potsdam, Max Planck Inst.
)
,
S. Frolov
(
- Ohio State U. and
- Steklov Math. Inst., Moscow
)
,
M. Staudacher
(
- Potsdam, Max Planck Inst.
)
,
Arkady A. Tseytlin
(
- Ohio State U. and
- Imperial Coll., London and
- Lebedev Inst.
)

- JHEP 10 (2003) 037
•
e-Print:
- hep-th/0308117
•
DOI:
- 10.1088/1126-6708/2003/10/037

Anomalous dimensions of finite size field strength operators in N = 4 SYM

Matteo Beccaria
(
- Salento U. and
- INFN, Lecce
)
,
Valentina Forini
(
- Humboldt U., Berlin and
- Perugia U. and
- INFN, Perugia
)

- JHEP 11 (2007) 031
•
e-Print:
- 0710.0217
•
DOI:
- 10.1088/1126-6708/2007/11/031

Superconformal operators in N=4 superYang-Mills theory

Andrei V. Belitsky
(
- Maryland U.
)
,
Sergey E. Derkachov
(
- Orsay, LPT and
- St. Petersburg Inst. Tech.
)
,
G.P. Korchemsky
(
- Orsay, LPT
)
,
A.N. Manashov
(
- Ruhr U., Bochum
)

- Phys.Rev.D 70 (2004) 045021
•
e-Print:
- hep-th/0311104
•
DOI:
- 10.1103/PhysRevD.70.045021

Integrability in QCD and beyond

A.V. Belitsky
(
- Arizona State U. and
- Maryland U.
)
,
V.M. Braun
(
- Regensburg U.
)
,
A.S. Gorsky
(
- Moscow, ITEP
)
,
G.P. Korchemsky
(
- Orsay, LPT
)

- Int.J.Mod.Phys.A 19 (2004) 4715-4788,
- In *Shifman, M. (ed.) et al.: From fields to strings, vol. 1* 266-352
•
e-Print:
- hep-th/0407232
•
DOI:
- 10.1142/S0217751X04019895

Superconformal operators in Yang-Mills theories on the light-cone

A.V. Belitsky
(
- Arizona State U.
)
,
Sergey E. Derkachov
(
- St. Petersburg Inst. Tech.
)
,
G.P. Korchemsky
(
- Orsay, LPT
)
,
A.N. Manashov
(
- St. Petersburg State U. and
- Regensburg U.
)

- Nucl.Phys.B 722 (2005) 191-221
•
e-Print:
- hep-th/0503137
•
DOI:
- 10.1016/j.nuclphysb.2005.06.007

Integrability and transcendentality

- J.Stat.Mech. 0611 (2006) P11014
•
e-Print:
- hep-th/0603157
•
DOI:
- 10.1088/1742-5468/2006/11/P11014

Quantum corrections to the string Bethe ansatz

Rafael Hernandez
(
- CERN
)
,
Esperanza Lopez
(
- Madrid, Autonoma U.
)

- JHEP 07 (2006) 004
•
e-Print:
- hep-th/0603204
•
DOI:
- 10.1088/1126-6708/2006/07/004

A Universality test of the quantum string Bethe ansatz

Lisa Freyhult
(
- Nordita
)
,
Charlotte Kristjansen
(
- Nordita
)

- Phys.Lett.B 638 (2006) 258-264
•
e-Print:
- hep-th/0604069
•
DOI:
- 10.1016/j.physletb.2006.05.021

On the Hopf algebra structure of the AdS/CFT S-matrix

Jan Plefka
(
- Humboldt U., Berlin
)
,
Fabian Spill
(
- Humboldt U., Berlin
)
,
Alessandro Torrielli
(
- Humboldt U., Berlin
)

- Phys.Rev.D 74 (2006) 066008
•
e-Print:
- hep-th/0608038
•
DOI:
- 10.1103/PhysRevD.74.066008

A Crossing-symmetric phase for AdS(5) x S**5 strings

Niklas Beisert
(
- Potsdam, Max Planck Inst. and
- Princeton U.
)
,
Rafael Hernandez
(
- CERN
)
,
Esperanza Lopez
(
- Madrid, Autonoma U.
)

- JHEP 11 (2006) 070
•
e-Print:
- hep-th/0609044
•
DOI:
- 10.1088/1126-6708/2006/11/070

1-25 of 98
1
2
3
4
25 / page