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## of the β-deformed N = 4 SYM

### Citations

5631 | The Large-N limit of superconformal field theories and supergravity,
- Maldacena
- 1999
(Show Context)
Citation Context ...d gauge theory from the Lüscher formula based on these twisted S-matrix elements. The result agrees exactly with the perturbative gauge theory computations. 1 Introduction The AdS/CFT correspondence =-=[1]-=- is a duality between the N = 4 super Yang-Mills (SYM) theory and type IIB string theory onAdS5×S5. Integrability in the planar limit [2] has played a crucial role in clarifying the correspondence, wh... |

308 |
Deforming field theories with U(1)×U(1) global symmetry and their gravity duals,
- Lunin, Maldacena
- 2005
(Show Context)
Citation Context ... = g2YM, (2) where gYM is the Yang-Mills coupling constant. Under the AdS/CFT duality, it is believed that this β-deformed SYM theory is related to a string theory with the Lunin-Maldacena background =-=[17]-=-. When the deformation parameter 1 is real, the string theory on this deformed background maintains the classical integrability [18, 19], and has identical excitations such as giant magnons, whose fin... |

247 |
Long-range psu(2,2|4) Bethe ansaetze for gauge theory and strings
- Beisert, Staudacher
(Show Context)
Citation Context ...rifying the correspondence, which relates strong and weak couplings. Asymptotic Bethe ansatz equations (BAEs) for all orders and sectors, which have provided a computational tool, were conjectured in =-=[3]-=-. Another important approach was to construct an exact S-matrix based on the integrability [4]. The S-matrix for fundamental excitations was determined from the su(2|2) symmetry algebra in [5, 6] up t... |

240 | The factorized S-matrix of CFT/AdS,
- Staudacher
- 2005
(Show Context)
Citation Context ...quations (BAEs) for all orders and sectors, which have provided a computational tool, were conjectured in [3]. Another important approach was to construct an exact S-matrix based on the integrability =-=[4]-=-. The S-matrix for fundamental excitations was determined from the su(2|2) symmetry algebra in [5, 6] up to an overall scalar factor which was fixed in [7, 8] using crossing symmetry [9]. The conjectu... |

228 | The AdS5 × S5 superstring worldsheet S-matrix and crossing symmetry”,
- Janik
- 2006
(Show Context)
Citation Context ...integrability [4]. The S-matrix for fundamental excitations was determined from the su(2|2) symmetry algebra in [5, 6] up to an overall scalar factor which was fixed in [7, 8] using crossing symmetry =-=[9]-=-. The conjectured BAEs can be derived by diagonalizing the Bethe-Yang matrix [5, 10]. These asymptotic BAEs, however, have a fundamental limitation since they are valid only when the size of the spin ... |

222 | The SU(2|2) dynamic S-matrix,
- Beisert
- 2008
(Show Context)
Citation Context ...ured in [3]. Another important approach was to construct an exact S-matrix based on the integrability [4]. The S-matrix for fundamental excitations was determined from the su(2|2) symmetry algebra in =-=[5, 6]-=- up to an overall scalar factor which was fixed in [7, 8] using crossing symmetry [9]. The conjectured BAEs can be derived by diagonalizing the Bethe-Yang matrix [5, 10]. These asymptotic BAEs, howeve... |

175 | Transcendentality and crossing,
- Beisert, Eden, et al.
- 2007
(Show Context)
Citation Context ...an exact S-matrix based on the integrability [4]. The S-matrix for fundamental excitations was determined from the su(2|2) symmetry algebra in [5, 6] up to an overall scalar factor which was fixed in =-=[7, 8]-=- using crossing symmetry [9]. The conjectured BAEs can be derived by diagonalizing the Bethe-Yang matrix [5, 10]. These asymptotic BAEs, however, have a fundamental limitation since they are valid onl... |

162 |
A crossing-symmetric phase for
- Beisert, Hernandez, et al.
(Show Context)
Citation Context ...an exact S-matrix based on the integrability [4]. The S-matrix for fundamental excitations was determined from the su(2|2) symmetry algebra in [5, 6] up to an overall scalar factor which was fixed in =-=[7, 8]-=- using crossing symmetry [9]. The conjectured BAEs can be derived by diagonalizing the Bethe-Yang matrix [5, 10]. These asymptotic BAEs, however, have a fundamental limitation since they are valid onl... |

155 | Wrapping interactions and a new source of corrections to the spin-chain/string duality,” Nucl.Phys.
- Ambjorn, Janik, et al.
- 2006
(Show Context)
Citation Context ...ing the Bethe-Yang matrix [5, 10]. These asymptotic BAEs, however, have a fundamental limitation since they are valid only when the size of the spin chain becomes infinite. It has been pointed out in =-=[11]-=- that the asymptotic BAEs should fail because of wrapping interactions which arise when the order of perturbation theory goes beyond the size of the spin chain. The deviations from the asymptotic BAEs... |

143 | The Analytic Bethe Ansatz for a Chain with Centrally Extended - Beisert - 2007 |

128 |
Multiparameter quantum groups and twisted quasitriangular Hopf algebras,
- Reshetikhin
- 1990
(Show Context)
Citation Context ...econd anomalous dimension can be computed from the same Lüscher formula by simply replacing ∆ with −∆. The proposed S-matrix elements can be constructed from a Drinfeld twist of the su(2|2) S-matrix =-=[26]-=- which we will report in a separate publication [27]. Furthermore this S-matrix can lead to the conjectured asymptotic BAEs via nested BAE analysis. We hope this will lead to studying the β-deformed S... |

127 | Thermodynamic Bethe Ansatz for planar AdS/CFT: A Proposal, J.Phys.A A42
- Bombardelli, Fioravanti, et al.
- 2009
(Show Context)
Citation Context ...values of L in [28]. Another challenge is to derive the asymptotic BAEs based on our S-matrices which will eventually lead to the thermodynamic Bethe ansatz, thereby generalizing the TBA equations in =-=[29]-=-. We hope to address these issues in the near future. Note Added: In the recent paper [30], our result for the four-loop Lüscher correction of the su(2) Konishi operator is confirmed, and also result... |

123 |
Four-loop perturbative Konishi from strings and finite size effects for multiparticle states,
- Bajnok, Janik
- 2009
(Show Context)
Citation Context ...s from the asymptotic BAEs have been quantitatively studied in the weakcoupling limit using generalized Lüscher corrections and compared with perturbative SYM computations [12] in a series of papers =-=[13, 14]-=-. The results show that the Lüscher corrections agree exactly with the deviations which is another triumph for the exact S-matrix of the N = 4 SYM. Our main interest in this paper is to generalize th... |

115 |
Exactly marginal operators and duality
- Leigh, Strassler
- 1995
(Show Context)
Citation Context ...l superfields by: W = ih tr(eiπβφψZ − e−iπβφZψ). (1) The deformation breaks the supersymmetry down to N = 1 but still maintains the conformal invariance in the planar limit to all perturbative orders =-=[15, 16]-=-, since the deformation becomes exactly marginal for real β if hh = g2YM, (2) where gYM is the Yang-Mills coupling constant. Under the AdS/CFT duality, it is believed that this β-deformed SYM theory i... |

112 |
The Zamolodchikov-Faddeev algebra for
- Arutyunov, Frolov, et al.
- 2007
(Show Context)
Citation Context ...ured in [3]. Another important approach was to construct an exact S-matrix based on the integrability [4]. The S-matrix for fundamental excitations was determined from the su(2|2) symmetry algebra in =-=[5, 6]-=- up to an overall scalar factor which was fixed in [7, 8] using crossing symmetry [9]. The conjectured BAEs can be derived by diagonalizing the Bethe-Yang matrix [5, 10]. These asymptotic BAEs, howeve... |

85 |
Beauty and the twist: The Bethe ansatz for twisted
- Beisert, Roiban
- 2005
(Show Context)
Citation Context ...ns such as giant magnons, whose finite-size effects have been obtained by transforming the AdS5×S5 background under some T-duality [19]. Perturbative integrability for the deformed SYM was studied in =-=[20, 21, 22]-=-. An important development in the deformed SYM theory was the perturbative computation in [23, 24] of anomalous dimensions for the one and two magnon states in the su(2) sector up to four loops. These... |

84 | Integrability for the Full Spectrum of Planar AdS/CFT”,
- Gromov, Kazakov, et al.
- 2009
(Show Context)
Citation Context ...lation is also new in the undeformed case where the Lüscher correction for only the sl(2) representative has been calculated so far. There are calculations in the su(2) sector based on the Y -system =-=[25]-=- but we are not able to use this approach since the deformed-TBA equations are not available. Since the exponential factor becomes( z− z+ )4 = 256g8 (q2 + ℓ2)4 + . . . , (33) we may consider only a le... |

79 |
Tseytlin, “Gauge - string duality for superconformal deformations
- Frolov, Roiban, et al.
- 2005
(Show Context)
Citation Context ...ns such as giant magnons, whose finite-size effects have been obtained by transforming the AdS5×S5 background under some T-duality [19]. Perturbative integrability for the deformed SYM was studied in =-=[20, 21, 22]-=-. An important development in the deformed SYM theory was the perturbative computation in [23, 24] of anomalous dimensions for the one and two magnon states in the su(2) sector up to four loops. These... |

75 |
Four loop twist two, BFKL, wrapping and strings
- Bajnok, Janik, et al.
(Show Context)
Citation Context ...s from the asymptotic BAEs have been quantitatively studied in the weakcoupling limit using generalized Lüscher corrections and compared with perturbative SYM computations [12] in a series of papers =-=[13, 14]-=-. The results show that the Lüscher corrections agree exactly with the deviations which is another triumph for the exact S-matrix of the N = 4 SYM. Our main interest in this paper is to generalize th... |

71 |
Lax pair for strings in Lunin-Maldacena background,
- Frolov
- 2005
(Show Context)
Citation Context ...y is related to a string theory with the Lunin-Maldacena background [17]. When the deformation parameter 1 is real, the string theory on this deformed background maintains the classical integrability =-=[18, 19]-=-, and has identical excitations such as giant magnons, whose finite-size effects have been obtained by transforming the AdS5×S5 background under some T-duality [19]. Perturbative integrability for the... |

45 |
Anomalous dimension with wrapping at four loops
- Fiamberti, Santambrogio, et al.
(Show Context)
Citation Context ...e spin chain. The deviations from the asymptotic BAEs have been quantitatively studied in the weakcoupling limit using generalized Lüscher corrections and compared with perturbative SYM computations =-=[12]-=- in a series of papers [13, 14]. The results show that the Lüscher corrections agree exactly with the deviations which is another triumph for the exact S-matrix of the N = 4 SYM. Our main interest in... |

42 |
The Bethe ansatz approach for factorizable centrally extended S-matrices,
- Martins, Melo
- 2007
(Show Context)
Citation Context ...the su(2|2) symmetry algebra in [5, 6] up to an overall scalar factor which was fixed in [7, 8] using crossing symmetry [9]. The conjectured BAEs can be derived by diagonalizing the Bethe-Yang matrix =-=[5, 10]-=-. These asymptotic BAEs, however, have a fundamental limitation since they are valid only when the size of the spin chain becomes infinite. It has been pointed out in [11] that the asymptotic BAEs sho... |

37 |
Exact results
- Mauri, Penati, et al.
- 2005
(Show Context)
Citation Context ...l superfields by: W = ih tr(eiπβφψZ − e−iπβφZψ). (1) The deformation breaks the supersymmetry down to N = 1 but still maintains the conformal invariance in the planar limit to all perturbative orders =-=[15, 16]-=-, since the deformation becomes exactly marginal for real β if hh = g2YM, (2) where gYM is the Yang-Mills coupling constant. Under the AdS/CFT duality, it is believed that this β-deformed SYM theory i... |

28 |
Giant magnons
- Bykov, Frolov
- 2008
(Show Context)
Citation Context ...y is related to a string theory with the Lunin-Maldacena background [17]. When the deformation parameter 1 is real, the string theory on this deformed background maintains the classical integrability =-=[18, 19]-=-, and has identical excitations such as giant magnons, whose finite-size effects have been obtained by transforming the AdS5×S5 background under some T-duality [19]. Perturbative integrability for the... |

27 |
Finite-size effects
- Fiamberti, Santambrogio, et al.
(Show Context)
Citation Context ...kground under some T-duality [19]. Perturbative integrability for the deformed SYM was studied in [20, 21, 22]. An important development in the deformed SYM theory was the perturbative computation in =-=[23, 24]-=- of anomalous dimensions for the one and two magnon states in the su(2) sector up to four loops. These hints of the integrability of the deformed SYM theory can be established firmly if one can constr... |

25 |
Single impurity operators at critical wrapping order
- Fiamberti, Santambrogio, et al.
(Show Context)
Citation Context ...kground under some T-duality [19]. Perturbative integrability for the deformed SYM was studied in [20, 21, 22]. An important development in the deformed SYM theory was the perturbative computation in =-=[23, 24]-=- of anomalous dimensions for the one and two magnon states in the su(2) sector up to four loops. These hints of the integrability of the deformed SYM theory can be established firmly if one can constr... |

19 | Wrapping in maximally supersymmetric and marginally deformed N=4
- Gunnesson
(Show Context)
Citation Context ...tor, we have not succeeded in the one impurity system, whose perturbative results are given in [23, 24], and for which Lüscher corrections have been calculated for β = 1/2 and generic values of L in =-=[28]-=-. Another challenge is to derive the asymptotic BAEs based on our S-matrices which will eventually lead to the thermodynamic Bethe ansatz, thereby generalizing the TBA equations in [29]. We hope to ad... |

1 |
The Bethe-ansatz forN
- Minahan, Zarembo
- 2003
(Show Context)
Citation Context ...theory computations. 1 Introduction The AdS/CFT correspondence [1] is a duality between the N = 4 super Yang-Mills (SYM) theory and type IIB string theory onAdS5×S5. Integrability in the planar limit =-=[2]-=- has played a crucial role in clarifying the correspondence, which relates strong and weak couplings. Asymptotic Bethe ansatz equations (BAEs) for all orders and sectors, which have provided a computa... |