Integrability in Planar AdS/CFT: Yangian Symmetry and Applications Lecture 1
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Introduction and Overview
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1. Cast of Characters
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AdS/CFT Correspondence
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Strings on Ads5 X S5
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N = 4 Super Yang-Mills Theory
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Planar Limit
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Integrability
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II. Planar AdS /CFT Spectrum
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From Gauge Theory to Spin Chains
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Spin Chain Hamiltonian
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Bethe Ansatz & Scattering
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Scattering and Symmetry
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Bethe Equations
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Cusp Dimension from Bethe Equations
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Weak / Strong Expansion
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Finite-Coupling Interpolation
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Thermodynamic Bethe Ansatz
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Techniques and Applications
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Charted Territory
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lll. Integrability and Dual Conformal Symmetry
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Planar Scattering in Gauge Theory
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Planar Scattering in String Theory
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Null Polygonal Wilson Loop
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Dual Conformal and Yangian Symmetries
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Wrap Up: IV. Various Achievements
Description:
Explore the first lecture in a series on integrability in planar AdS/CFT, Yangian symmetry, and applications delivered by Niklas Beisert from ETH Zurich at the International Centre for Theoretical Sciences. Delve into the AdS/CFT correspondence, N=4 supersymmetric Yang-Mills theory, and the planar limit. Examine the connection between gauge theory and spin chains, the Bethe ansatz, scattering and symmetry, and the thermodynamic Bethe ansatz. Investigate planar scattering in gauge and string theory, null polygonal Wilson loops, and dual conformal and Yangian symmetries. Gain insights into the underlying quantum algebra of integrability in the context of the AdS/CFT correspondence and its applications to scattering amplitudes, correlation functions, and Wilson loops.
Integrability in Planar AdS/CFT - Yangian Symmetry and Applications - Lecture 1