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

Journal Article · · Physical Review Letters
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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.

Research Organization:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC); Fundação de Amparo a Pesquisa do Estado de São Paulo (FAPESP); Science and Technology Facilities Council (STFC)
Grant/Contract Number:
SC0009988; 2014/18634-9; 2016/09266-1; ST/P000762/1
OSTI ID:
1573435
Alternate ID(s):
OSTI ID: 1801987
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 123 Journal Issue: 19; ISSN 0031-9007
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 34 works
Citation information provided by
Web of Science

References (25)

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

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Physics