Integrability in Planar AdS/CFT - Yangian Symmetry and Applications - Lecture 1

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.

Lecture 1: May 13, 2019 at am
Lecture 2: May 14, 2019 at am
Lecture 3: May 15, 2019 at pm
Integrability in Planar AdS/CFT: Yangian Symmetry and Applications Lecture 1
Introduction and Overview
1. Cast of Characters
AdS/CFT Correspondence
Strings on Ads5 X S5
N = 4 Super Yang-Mills Theory
Planar Limit
Integrability
II. Planar AdS /CFT Spectrum
From Gauge Theory to Spin Chains
Spin Chain Hamiltonian
Bethe Ansatz & Scattering
Scattering and Symmetry
Bethe Equations
Cusp Dimension from Bethe Equations
Weak / Strong Expansion
Finite-Coupling Interpolation
Thermodynamic Bethe Ansatz
Techniques and Applications
Charted Territory
lll. Integrability and Dual Conformal Symmetry
Planar Scattering in Gauge Theory
Planar Scattering in String Theory
Null Polygonal Wilson Loop
Dual Conformal and Yangian Symmetries
Wrap Up: IV. Various Achievements