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Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory

Yunfeng Jiang, Shota Komatsu, and Edoardo Vescovi
Phys. Rev. Lett. 123, 191601 – Published 7 November 2019
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Abstract

We introduce a nonperturbative approach to correlation functions of two determinant operators and one nonprotected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge-string duality, we propose that they correspond to overlaps on the string world sheet between an integrable boundary state and a state dual to the single-trace operator. We determine the boundary state using the symmetry and integrability of the dual superstring σ model and write expressions for the correlators at finite coupling, which we conjecture to be valid for operators of arbitrary size. The proposal is put to the test at weak coupling.

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  • Received 5 August 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.191601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Yunfeng Jiang1, Shota Komatsu2, and Edoardo Vescovi3

  • 1Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland
  • 2School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540, USA
  • 3The Blackett Laboratory, Imperial College, London SW7 2AZ, United Kingdom

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Issue

Vol. 123, Iss. 19 — 8 November 2019

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