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Tailoring Three-Point Functions and Integrability IV. Theta-morphism · Around

2012

Tailoring Three-Point Functions and Integrability IV. Theta-morphism

Gromov, Nikolay, Vieira, Pedro

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We compute structure constants in N=4 SYM at one loop using Integrability.

This requires having full control over the two loop eigenvectors of the dilatation operator for operators of arbitrary size.
To achieve this, we develop an algebraic description called the Theta-morphism.
In this approach we introduce impurities at each spin chain site, act with particular differential operators on the standard algebraic Bethe ansatz vectors and generate in this way higher loop eigenvectors.

Built on

M. Gaudin, Journal de Physique 37
1982
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for N=4 superYang-Mills,” JHEP 0303
2003
Earlier work this paper cites.
N. Beisert, C. Kristjansen and M. Staudacher, “The Dilatation operator of conformal N=4 superYang-Mills theory,” Nucl. Phys. B 664
2003
Earlier work this paper cites.
N. Beisert, V. Dippel and M. Staudacher, “A Novel long range spin chain and planar N=4 super Yang-Mills,” JHEP 0407
2004
Earlier work this paper cites.
D. Serban and M. Staudacher, “Planar N = 4 gauge theory and the Inozemtsev long range spin chain,” JHEP 0406
Original
2004
Earlier work this paper cites.
K. Okuyama and L. -S. Tseng, “Three-point functions in N = 4 SYM theory at one-loop,” JHEP 0408
2004
Earlier work this paper cites.

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Then

∙ \bullet N. Mann and J. Polchinski, “Bethe Ansatz for a Quantum Supercoset Sigma Model,” Phys. Rev. D 72
2007
Later among the works it cites.
N. Beisert, T. McLoughlin and R. Roiban, “The Four-loop dressing phase of N=4 SYM,” Phys. Rev. D 76
Original
2007
Later among the works it cites.
N. Beisert, “The SU(2|2) dynamic S-matrix,” Adv. Theor. Math. Phys. 12
2008
Later among the works it cites.
T. Bargheer, N. Beisert and F. Loebbert, “Long-Range Deformations for Integrable Spin Chains,” J. Phys. A 42
Original
2009
Later among the works it cites.
J. Escobedo, N. Gromov, A. Sever and P. Vieira, “Tailoring Three-Point Functions and Integrability,” JHEP 1109
Original
2011
Later among the works it cites.

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2007

Cited alongside, same era.

N. Gromov, A. Sever and P. Vieira, “Tailoring Three-Point Functions and Integrability III. Classical Tunneling,” arXiv:1111.2349 [hep-th]

Cited in the paper.

I. Kostov, “Classical Limit of the Three-Point Function from Integrability,” arXiv:1203.6180 [hep-th]. ∙ \bullet I. Kostov, “Three-point function of semiclassical states at weak coupling,” arXiv:1205.4412 [hep-th]

Cited in the paper.

N. Gromov, S. Valatka, P. Vieira To appear

Cited in the paper.

N. Gromov and P. Vieira, “Quantum Integrability for Three-Point Functions,” arXiv:1202.4103 [hep-th]

Cited in the paper.

O Foda, M Wheeler, "Partial domain wall partition functions," arXiv:1205.4400

Cited in the paper.

O. Foda, “N=4 SYM structure constants as determinants,” JHEP 1203

2012

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