Exact Three-Point Functions of Determinant Operators in Planar 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:
- 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 = {Thu Nov 07 00:00:00 EST 2019},
month = {Thu Nov 07 00:00:00 EST 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.123.191601
https://doi.org/10.1103/PhysRevLett.123.191601
Other availability
Cited by: 34 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Holographic three-point functions of giant gravitons
journal, June 2011
- Bissi, A.; Kristjansen, C.; Young, D.
- Journal of High Energy Physics, Vol. 2011, Issue 6
On three-point correlation functions in the gauge/gravity duality
journal, November 2010
- Costa, Miguel S.; Monteiro, Ricardo; Santos, Jorge E.
- Journal of High Energy Physics, Vol. 2010, Issue 11
Excited states by analytic continuation of TBA equations
journal, December 1996
- Dorey, Patrick; Tateo, Roberto
- Nuclear Physics B, Vol. 482, Issue 3
Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang–Mills Theory: TBA and excited states
journal, February 2010
- Gromov, Nikolay; Kazakov, Vladimir; Kozak, Andrii
- Letters in Mathematical Physics, Vol. 91, Issue 3
The su(2|2) Dynamic S-Matrix
journal, January 2008
- Beisert, Niklas
- Advances in Theoretical and Mathematical Physics, Vol. 12, Issue 5
contribution of saddle point fluctuations to the free energy of Bethe Ansatz systems
journal, November 2004
- Woynarovich, F.
- Nuclear Physics B, Vol. 700, Issue 1-3
Invasion of the giant gravitons from anti-de Sitter space
journal, May 2000
- McGreevy, John; Susskind, Leonard; Toumbas, Nicolaos
- Journal of High Energy Physics, Vol. 2000, Issue 06
Hidden Grassmann Structure in the XXZ Model V: Sine-Gordon Model
journal, October 2010
- Jimbo, Michio; Miwa, Tetsuji; Smirnov, Fedor
- Letters in Mathematical Physics, Vol. 96, Issue 1-3
Errata: Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
journal, September 1994
- Ghoshal, S.; Zamolodchikov, A.
- International Journal of Modern Physics A, Vol. 09, Issue 24
On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories
journal, January 1991
- Zamolodchikov, Al. B.
- Physics Letters B, Vol. 253, Issue 3-4
Thermodynamic Bethe ansatz for the AdS 5 × S 5 mirror model
journal, May 2009
- Arutyunov, Gleb; Frolov, Sergey
- Journal of High Energy Physics, Vol. 2009, Issue 05
Giant Gravitons in Conformal Field Theory
journal, April 2002
- Balasubramanian, Vijay; Berkooz, Micha; Naqvi, Asad
- Journal of High Energy Physics, Vol. 2002, Issue 04
Superprotected n -point correlation functions of local operators in 𝒩 = 4 super Yang-Mills
journal, April 2009
- Drukker, Nadav; Plefka, Jan
- Journal of High Energy Physics, Vol. 2009, Issue 04
Review of AdS/CFT Integrability: An Overview
journal, October 2011
- Beisert, Niklas; Ahn, Changrim; Alday, Luis F.
- Letters in Mathematical Physics, Vol. 99, Issue 1-3
Diagonal finite volume matrix elements in the sinh-Gordon model
journal, August 2019
- Bajnok, Zoltan; Smirnov, Fedor
- Nuclear Physics B, Vol. 945
Boundary energy and boundary states in integrable quantum field theories
journal, October 1995
- LeClair, A.; Mussardo, G.; Saleur, H.
- Nuclear Physics B, Vol. 453, Issue 3
On one-point functions for sinh-Gordon model at finite temperature
journal, October 2013
- Negro, S.; Smirnov, F.
- Nuclear Physics B, Vol. 875, Issue 1
The superstring worldsheet matrix and crossing symmetry
journal, April 2006
- Janik, Romuald A.
- Physical Review D, Vol. 73, Issue 8
One-point functions in defect CFT and integrability
journal, August 2015
- de Leeuw, Marius; Kristjansen, Charlotte; Zarembo, Konstantin
- Journal of High Energy Physics, Vol. 2015, Issue 8
Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
journal, August 1994
- Ghoshal, Subir; Zamolodchikov, Alexander
- International Journal of Modern Physics A, Vol. 09, Issue 21
Integrable quantum field theory with boundaries: the exact g-function
journal, September 2004
- Dorey, Patrick; Fioravanti, Davide; Rim, Chaiho
- Nuclear Physics B, Vol. 696, Issue 3
On $ \mathcal{O}(1) $ contributions to the free energy in Bethe Ansatz systems: the exact g-function
journal, August 2010
- Pozsgay, Balázs
- Journal of High Energy Physics, Vol. 2010, Issue 8
A thermodynamic Bethe ansatz for planar AdS/CFT: a proposal
journal, August 2009
- Bombardelli, Diego; Fioravanti, Davide; Tateo, Roberto
- Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 37
Asymptotic One-Point Functions in Gauge-String Duality with Defects
journal, December 2017
- Buhl-Mortensen, Isak; de Leeuw, Marius; Ipsen, Asger C.
- Physical Review Letters, Vol. 119, Issue 26
Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
journal, July 2011
- Bajnok, Zoltán
- Letters in Mathematical Physics, Vol. 99, Issue 1-3