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

Jiang, Yunfeng; Komatsu, Shota; Vescovi, Edoardo

doi:10.1103/PhysRevLett.123.191601

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:

Jiang, Yunfeng;

;

Publication Date:: Thu Nov 07 00:00:00 EST 2019

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:: Journal Article: 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.

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                    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

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                    Jiang, Yunfeng, Komatsu, Shota, and Vescovi, Edoardo. 2019.  
        "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.

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@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},

  url          = {https://www.osti.gov/biblio/1573435},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  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}

}

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

Abstract

Citation Formats

Holographic three-point functions of giant gravitons journal, June 2011

On three-point correlation functions in the gauge/gravity duality journal, November 2010

Excited states by analytic continuation of TBA equations journal, December 1996

Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang–Mills Theory: TBA and excited states journal, February 2010

The su(2|2) Dynamic S-Matrix journal, January 2008

contribution of saddle point fluctuations to the free energy of Bethe Ansatz systems journal, November 2004

Invasion of the giant gravitons from anti-de Sitter space journal, May 2000

Hidden Grassmann Structure in the XXZ Model V: Sine-Gordon Model journal, October 2010

Errata: Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory journal, September 1994

On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories journal, January 1991

Thermodynamic Bethe ansatz for the AdS 5 × S 5 mirror model journal, May 2009

Giant Gravitons in Conformal Field Theory journal, April 2002

Superprotected n -point correlation functions of local operators in 𝒩 = 4 super Yang-Mills journal, April 2009

Review of AdS/CFT Integrability: An Overview journal, October 2011

Diagonal finite volume matrix elements in the sinh-Gordon model journal, August 2019

Boundary energy and boundary states in integrable quantum field theories journal, October 1995

On one-point functions for sinh-Gordon model at finite temperature journal, October 2013

The AdS 5 × S 5 superstring worldsheet S matrix and crossing symmetry journal, April 2006

One-point functions in defect CFT and integrability journal, August 2015

Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory journal, August 1994

Integrable quantum field theory with boundaries: the exact g-function journal, September 2004

On $ \mathcal{O}(1) $ contributions to the free energy in Bethe Ansatz systems: the exact g-function journal, August 2010

A thermodynamic Bethe ansatz for planar AdS/CFT: a proposal journal, August 2009

Asymptotic One-Point Functions in Gauge-String Duality with Defects journal, December 2017

Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz journal, July 2011

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

Holographic three-point functions of giant gravitons
journal, June 2011

On three-point correlation functions in the gauge/gravity duality
journal, November 2010

Excited states by analytic continuation of TBA equations
journal, December 1996

Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang–Mills Theory: TBA and excited states
journal, February 2010

The su(2|2) Dynamic S-Matrix
journal, January 2008

contribution of saddle point fluctuations to the free energy of Bethe Ansatz systems
journal, November 2004

Invasion of the giant gravitons from anti-de Sitter space
journal, May 2000

Hidden Grassmann Structure in the XXZ Model V: Sine-Gordon Model
journal, October 2010

Errata: Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
journal, September 1994

On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories
journal, January 1991

Thermodynamic Bethe ansatz for the AdS ₅ × S ⁵ mirror model
journal, May 2009

Giant Gravitons in Conformal Field Theory
journal, April 2002

Superprotected n -point correlation functions of local operators in 𝒩 = 4 super Yang-Mills
journal, April 2009

Review of AdS/CFT Integrability: An Overview
journal, October 2011

Diagonal finite volume matrix elements in the sinh-Gordon model
journal, August 2019

Boundary energy and boundary states in integrable quantum field theories
journal, October 1995

On one-point functions for sinh-Gordon model at finite temperature
journal, October 2013

The ${AdS}_{5} \times S^{5}$ superstring worldsheet $S$ matrix and crossing symmetry
journal, April 2006

One-point functions in defect CFT and integrability
journal, August 2015

Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
journal, August 1994

Integrable quantum field theory with boundaries: the exact g-function
journal, September 2004

On $ \mathcal{O}(1) $ contributions to the free energy in Bethe Ansatz systems: the exact g-function
journal, August 2010

A thermodynamic Bethe ansatz for planar AdS/CFT: a proposal
journal, August 2009

Asymptotic One-Point Functions in Gauge-String Duality with Defects
journal, December 2017

Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
journal, July 2011