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Advanced Course for graduate students:
Scattering Amplitudes in Gauge/String Duality
Time: Apr 13 (9:30-12:00am), Apr 17 (2:30-5:00pm), Apr 20 (9:30-12:00am),
Apr 24 (2:30-5:00pm), Apr 27 (9:30-12:00am),
May 04 (9:30-12:00am), May 08 (2:30-5:00pm)
Venue: ITP Old Building 322
Lecture 1: Background, Motivation, and Introduction to Amplitudes
A general overview
Double line graph and Large Nc expansion
Color factor, color graph, color decomposition
Spinor helicity formalism, Little group, 3-pt amplitudes
Feynman diagram and MHV amplitudes
Lecture 2: Aspects of Unitarity for Amplitudes
S-matrix unitarity
Dispersion relation
Transcendental functions and branch cuts
On-shell unitarity cuts
4-cut and 2-cut for the 4-point 1-loop amplitude
Lecture 3: Conformal Symmetry and Wilson Loops
Conformal algebra and representations
Dual conformal symmetry of loop amplitudes
Introduction to Wilson loops
Feynman diagram computation of Wilson loops
Conformal Ward identity and BDS ansatz
Lecture 4: AdS/CFT Correspondence and Classical Strings
Eikonal limit and non-Abelian exponentiation
Introduction to AdS/CFT correspondence
Aspects of AdS geometry and coordinates
Introduction to classical string theory
Lecture 5: Introduction to the Alday-Maldacena pictures
Three simple minimal surface problems and solutions:
Quark-anti-quark potential, circular WL, single cusp WL
The picture of Gross-Mende
The picture of Alday-Maldacena
Lecture 6: T-duality and Four-Cusp Solution
Introduction to T-duality
T-duality for amplitudes in AdS
Four-cusp solution
Regularization and the area
Lecture 7: Integrability
Yangian symmetry in 4D and in 2D
Why Sine-Gordon equation is integrable
Pohlmeyer reduction for AdS string
Hitchin equation and spectral parameter
Y-system and area
Open remarks
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