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

Abstract

We introduce a nonperturbative approach to correlation functions of two determinant operators and one nonprotected single-trace operator in planar $$\mathcal{N}$$ = 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.

Authors:
; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Fundação de Amparo a Pesquisa do Estado de São Paulo (FAPESP); Science and Technology Facilities Council (STFC)
OSTI Identifier:
1573435
Alternate Identifier(s):
OSTI ID: 1801987
Grant/Contract Number:  
SC0009988; 2014/18634-9; 2016/09266-1; ST/P000762/1
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 19; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics

Citation Formats

Jiang, Yunfeng, Komatsu, Shota, and Vescovi, Edoardo. Exact Three-Point Functions of Determinant Operators in Planar N = 4 Supersymmetric Yang-Mills Theory. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.191601.
Jiang, Yunfeng, Komatsu, Shota, & Vescovi, Edoardo. Exact Three-Point Functions of Determinant Operators in Planar N = 4 Supersymmetric Yang-Mills Theory. United States. https://doi.org/10.1103/PhysRevLett.123.191601
Jiang, Yunfeng, Komatsu, Shota, and Vescovi, Edoardo. Thu . "Exact Three-Point Functions of Determinant Operators in Planar N = 4 Supersymmetric Yang-Mills Theory". United States. https://doi.org/10.1103/PhysRevLett.123.191601.
@article{osti_1573435,
title = {Exact Three-Point Functions of Determinant Operators in Planar N = 4 Supersymmetric Yang-Mills Theory},
author = {Jiang, Yunfeng and Komatsu, Shota and Vescovi, Edoardo},
abstractNote = {We introduce a nonperturbative approach to correlation functions of two determinant operators and one nonprotected single-trace operator in planar $\mathcal{N}$ = 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.},
doi = {10.1103/PhysRevLett.123.191601},
journal = {Physical Review Letters},
number = 19,
volume = 123,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.123.191601

Citation Metrics:
Cited by: 6 works
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