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Separation of Variables in AdS/CFT: functional Approach for the Fishnet CFT

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Separation of Variables in AdS/CFT: functional Approach for the Fishnet CFT. / Cavaglia, Andrea; Gromov, Nikolay; Levkovich-Maslyuk, Fedor.

In: Journal of High Energy Physics, Vol. 2021, No. 6, 131, 06.2021, p. 1-74.

Research output: Contribution to journalArticlepeer-review

Harvard

Cavaglia, A, Gromov, N & Levkovich-Maslyuk, F 2021, 'Separation of Variables in AdS/CFT: functional Approach for the Fishnet CFT', Journal of High Energy Physics, vol. 2021, no. 6, 131, pp. 1-74. https://doi.org/10.1007/JHEP06(2021)131

APA

Cavaglia, A., Gromov, N., & Levkovich-Maslyuk, F. (2021). Separation of Variables in AdS/CFT: functional Approach for the Fishnet CFT. Journal of High Energy Physics, 2021(6), 1-74. [131]. https://doi.org/10.1007/JHEP06(2021)131

Vancouver

Cavaglia A, Gromov N, Levkovich-Maslyuk F. Separation of Variables in AdS/CFT: functional Approach for the Fishnet CFT. Journal of High Energy Physics. 2021 Jun;2021(6):1-74. 131. https://doi.org/10.1007/JHEP06(2021)131

Author

Cavaglia, Andrea ; Gromov, Nikolay ; Levkovich-Maslyuk, Fedor. / Separation of Variables in AdS/CFT: functional Approach for the Fishnet CFT. In: Journal of High Energy Physics. 2021 ; Vol. 2021, No. 6. pp. 1-74.

Bibtex Download

@article{9ebae80c3ea3443583435b643805ede9,
title = "Separation of Variables in AdS/CFT:: functional Approach for the Fishnet CFT",
abstract = "The major simplification in a number of quantum integrable systems is the existence of special coordinates in which the eigenstates take a factorised form. Despite many years of studies, the basis realising the separation of variables (SoV) remains unknown in N = 4 SYM and similar models, even though it is widely believed they are integrable. In this paper we initiate the SoV approach for observables with nontrivial coupling dependence in a close cousin of N = 4 SYM – the fishnet 4D CFT. We develop the functional SoV formalism in this theory, which allows us to compute non-perturbatively some nontrivial observables in a form suitable for numerical evaluation. We present some applications of these methods. In particular, we discuss the possible SoV structure of the one-point correlators in presence of a defect, and write down a SoV-type expression for diagonal OPE coefficients involving an arbitrary state and the Lagrangian density operator. We believe that many of the findings of this paper can be applied in the N = 4 SYM case, as we speculate in the last part of the article.",
author = "Andrea Cavaglia and Nikolay Gromov and Fedor Levkovich-Maslyuk",
year = "2021",
month = jun,
doi = "10.1007/JHEP06(2021)131",
language = "English",
volume = "2021",
pages = "1--74",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "IOP Publishing",
number = "6",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Separation of Variables in AdS/CFT:

T2 - functional Approach for the Fishnet CFT

AU - Cavaglia, Andrea

AU - Gromov, Nikolay

AU - Levkovich-Maslyuk, Fedor

PY - 2021/6

Y1 - 2021/6

N2 - The major simplification in a number of quantum integrable systems is the existence of special coordinates in which the eigenstates take a factorised form. Despite many years of studies, the basis realising the separation of variables (SoV) remains unknown in N = 4 SYM and similar models, even though it is widely believed they are integrable. In this paper we initiate the SoV approach for observables with nontrivial coupling dependence in a close cousin of N = 4 SYM – the fishnet 4D CFT. We develop the functional SoV formalism in this theory, which allows us to compute non-perturbatively some nontrivial observables in a form suitable for numerical evaluation. We present some applications of these methods. In particular, we discuss the possible SoV structure of the one-point correlators in presence of a defect, and write down a SoV-type expression for diagonal OPE coefficients involving an arbitrary state and the Lagrangian density operator. We believe that many of the findings of this paper can be applied in the N = 4 SYM case, as we speculate in the last part of the article.

AB - The major simplification in a number of quantum integrable systems is the existence of special coordinates in which the eigenstates take a factorised form. Despite many years of studies, the basis realising the separation of variables (SoV) remains unknown in N = 4 SYM and similar models, even though it is widely believed they are integrable. In this paper we initiate the SoV approach for observables with nontrivial coupling dependence in a close cousin of N = 4 SYM – the fishnet 4D CFT. We develop the functional SoV formalism in this theory, which allows us to compute non-perturbatively some nontrivial observables in a form suitable for numerical evaluation. We present some applications of these methods. In particular, we discuss the possible SoV structure of the one-point correlators in presence of a defect, and write down a SoV-type expression for diagonal OPE coefficients involving an arbitrary state and the Lagrangian density operator. We believe that many of the findings of this paper can be applied in the N = 4 SYM case, as we speculate in the last part of the article.

UR - http://www.scopus.com/inward/record.url?scp=85110846062&partnerID=8YFLogxK

U2 - 10.1007/JHEP06(2021)131

DO - 10.1007/JHEP06(2021)131

M3 - Article

VL - 2021

SP - 1

EP - 74

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 6

M1 - 131

ER -

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