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N. Gromov and A. Sever, “The Holographic Fishchain,” Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
N. Gromov and A. Sever, “Quantum fishchain in AdS 5
Original
1907
Earlier work this paper cites.
N. Gromov and A. Sever, “The Holographic Dual of Strongly γ \gamma -deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry,” arXiv:1908.10379 [hep-th]
Original
1908
Earlier work this paper cites.
J. McGovern, “Scalar Insertions in Cusped Wilson Loops in the Ladders Limit of Planar N N =4 SYM,” arXiv:1912.00499 [hep-th]
Original
1912
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent and D. Volin, “Quantum Spectral Curve for Planar 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Theory,” Phys. Rev. Lett. 112
Original
1939
Earlier work this paper cites.
M. Lüscher, “Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 1. Stable Particle States,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
L. J. Dixon, D. Friedan, E. J. Martinec and S. H. Shenker, “The Conformal Field Theory of Orbifolds,” Nucl. Phys. B 282
1987
Earlier work this paper cites.
N. I. Usyukina and A. I. Davydychev, “Exact results for three and four point ladder diagrams with an arbitrary number of rungs,” Phys. Lett. B 305
1993
Earlier work this paper cites.
E. K. Sklyanin, “Separation of variables - new trends,” Prog. Theor. Phys. Suppl. 118
1995
Earlier work this paper cites.
T. Filk, “Divergencies in a field theory on quantum space,” Phys. Lett. B 376
1996
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
N. Beisert and R. Roiban, “Beauty and the twist: The Bethe ansatz for twisted N=4 SYM,” JHEP 0508
2005
Earlier work this paper cites.
S. A. Frolov, R. Roiban and A. A. Tseytlin, “Gauge-string duality for (non)supersymmetric deformations of N=4 super Yang-Mills theory,” Nucl. Phys. B 731
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2006
Earlier work this paper cites.
M. Brigante, G. Festuccia and H. Liu, “Inheritance principle and non-renormalization theorems at finite temperature,” Phys. Lett. B 638
2006
Earlier work this paper cites.

Similar

N. Gromov, V. Kazakov and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory,” Phys. Rev. Lett. 103
Original
2009
Cited alongside, same era.
C. Ahn, Z. Bajnok, D. Bombardelli and R. I. Nepomechie, “Finite-size effect for four-loop Konishi of the β \beta -deformed N=4 SYM,” Phys. Lett. B 693
Original
2010
Cited alongside, same era.
N. Gromov, V. Kazakov and Z. Tsuboi, “PSU ( 2 , 2 | 4 ) (2,2|4) Character of Quasiclassical AdS/CFT,” JHEP 1007
Original
2010
Cited alongside, same era.
H. Casini, M. Huerta and R. C. Myers, “Towards a derivation of holographic entanglement entropy,” JHEP 1105
Original
2011
Cited alongside, same era.
B. Eden, G. P. Korchemsky and E. Sokatchev, “From correlation functions to scattering amplitudes,” JHEP 1112

Then

V. Kazakov, S. Leurent and D. Volin, “T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve,” JHEP 1612
Original
2016
Later among the works it cites.
N. Gromov and F. Levkovich-Maslyuk, “Quantum Spectral Curve for a cusped Wilson line in 𝒩 = 4 \mathcal{N}=4 SYM,” JHEP 1604
Original
2016
Later among the works it cites.
N. Gromov, F. Levkovich-Maslyuk and G. Sizov, “Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4,” JHEP 1606
Original
2016
Later among the works it cites.
N. Gromov, F. Levkovich-Maslyuk and G. Sizov, “New Construction of Eigenstates and Separation of Variables for SU(N) Quantum Spin Chains,” JHEP 1709
Original
2017
Later among the works it cites.
A. Cavaglià, N. Gromov and F. Levkovich-Maslyuk, “Quantum spectral curve and structure constants in 𝒩 = 4 \mathcal{N}=4 SYM: cusps in the ladder limit,” JHEP 1810

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2020

Colour-Twist Operators I: Spectrum and Wave Functions

Cavaglia, Andrea, Grabner, David, Gromov, Nikolay et al.

Understand

We introduce a new class of operators in any theory with a 't Hooft large-$N$ limit that we call colour-twist operators.

They are defined by twisting the colour-trace with a global symmetry transformation and are continuously linked to standard, un-twisted single-trace operators.
In particular, correlation functions between operators that are twisted by an R-symmetry of ${\cal N}=4$ SYM extend those in the $\gamma$-deformed theory.
The most general deformation also breaks the Lorentz symmetry but preserves integrability in the examples we consider.

Built on

N. Gromov and A. Sever, “The Holographic Fishchain,” Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
N. Gromov and A. Sever, “Quantum fishchain in AdS 5
Original
1907
Earlier work this paper cites.
N. Gromov and A. Sever, “The Holographic Dual of Strongly γ \gamma -deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry,” arXiv:1908.10379 [hep-th]
Original
1908
Earlier work this paper cites.
J. McGovern, “Scalar Insertions in Cusped Wilson Loops in the Ladders Limit of Planar N N =4 SYM,” arXiv:1912.00499 [hep-th]
Original
1912
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent and D. Volin, “Quantum Spectral Curve for Planar 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Theory,” Phys. Rev. Lett. 112
Original
1939
Earlier work this paper cites.
M. Lüscher, “Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 1. Stable Particle States,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
L. J. Dixon, D. Friedan, E. J. Martinec and S. H. Shenker, “The Conformal Field Theory of Orbifolds,” Nucl. Phys. B 282
1987
Earlier work this paper cites.
N. I. Usyukina and A. I. Davydychev, “Exact results for three and four point ladder diagrams with an arbitrary number of rungs,” Phys. Lett. B 305
1993
Earlier work this paper cites.
E. K. Sklyanin, “Separation of variables - new trends,” Prog. Theor. Phys. Suppl. 118
1995
Earlier work this paper cites.
T. Filk, “Divergencies in a field theory on quantum space,” Phys. Lett. B 376
1996
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
N. Beisert and R. Roiban, “Beauty and the twist: The Bethe ansatz for twisted N=4 SYM,” JHEP 0508
2005
Earlier work this paper cites.
S. A. Frolov, R. Roiban and A. A. Tseytlin, “Gauge-string duality for (non)supersymmetric deformations of N=4 super Yang-Mills theory,” Nucl. Phys. B 731
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2006
Earlier work this paper cites.
M. Brigante, G. Festuccia and H. Liu, “Inheritance principle and non-renormalization theorems at finite temperature,” Phys. Lett. B 638
2006
Earlier work this paper cites.