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Workshop Programme

for period 2 - 4 April 2012

Recent Advances in Scattering Amplitudes

2 - 4 April 2012

Timetable

Monday 2 April
13:00-13:55 Registration
13:55-14:00 Welcome from John Toland (INI Director) & Annoucements
14:00-15:30 Spradlin, M (Brown)
  A Practical Guide to Scattering Amplitudes: Previously Impossible Calculations Made Trivial Sem 1
 

The past several years have seen dramatic progress in our understanding of scattering amplitudes, particularly in supersymmetric gauge and gravity theories. Theoretical advances including the discovery of rich mathematical structure and hidden symmetries have led also to practical advances which in many cases render previously impossible field theory calculations trivial. I will review these and recent related developments on correlation functions and Wilson loops in supersymmetric Yang-Mills theory.

 
15:30-16:00 Afternoon Tea
16:00-17:30 Sever, A (Perimeter Institute)
  The quark anti-quark potential and the generalized cusp anomalous dimension at any coupling Sem 1
Tuesday 3 April
09:00-10:30 Lipstein, A (Oxford)
  Scattering Amplitudes in Three Dimensions Sem 1
 

A great deal of progress has been made in computing scattering amplitudes in 4d quantum field theories by expressing the amplitudes in terms of variables known as twistors. In this talk, I will describe twistorial methods for computing scattering amplitudes in 3d quantum field theories, in particular superconformal Chern-Simons theories and supersymmetric Yang-Mills theories. These methods have led to the discovery of new symmetries and dualities in 3d quantum field theories.

 
10:30-11:00 Morning Coffee
11:00-12:30 Korchemsky, G (Saclay)
  Taming amplitudes and correlation functions in N=4 SYM Sem 1
12:30-14:00 Lunch
14:00-15:30 Mason, L (Oxford)
  Amplitudes and Wilson loops in twistor space Sem 1
 

Amplitudes and correlation functions have rich geometric structure in twistor space. In this talk I will explain how how maximally supersymmetric Yang Mills amplitudes and Wilson loops can be computed in twistor space and how their duality can be demonstrated at the level of the loop integrand. If there is enough time, I will discuss recent progress with gravity ampltiudes.

 
15:30-16:00 Afternoon Tea
16:00-17:30 Johansson, H (Saclay)
  Harmony of color and kinematics - from trees to loops Sem 1
 

Only a few years old, the idea that kinematic building blocks of scattering amplitudes have the same structure and properties as the Lie-algebra color factors - known as color-kinematics duality - has proven quite fruitful. Although the origins of the kinematic Lie-algebra structure remains unknown, it has improved our understanding of non-planar gauge theory and gravity. In this talk, I will review the status of color-kinematics duality at tree and loop level, illuminating the open problems as well as the techniques for calculating non-planar Yang-Mills and gravity loop amplitudes.

 
17:30-18:30 Wine reception
Wednesday 4 April
09:00-10:30 Huang, Y-T (UCLA)
  From Orthogonal Grassmanian to Three-algebra Sem 1
 

The leading singularities of ABJM amplitudes are given by the residues of an Orthogonal Grassmanian. I will discuss how this information controls the multi-loop amplitude, revealing an interesting relation between 4D N=4 SYM and ABJM. The behavior of the residues under complex deformation encodes, to the first order, the recent kinematic/three-algebra duality.

 
10:30-11:00 Morning Coffee
11:00-12:30 Heslop, P (Durham)
  Amplitudes and Wilson loops in N=4 SYM in special kinematics Sem 1
12:30-14:00 Lunch
14:00-15:30 Volovich, A (Brown)
  Mathematical structures of scattering amplitudes Sem 1
15:30-16:00 Afternoon Tea
16:00-17:30 Drummond, J (Annecy & CERN)
  Symbols and Bootstraps for scattering amplitudes Sem 1
 

I will describe the application of a bootstrap program for scattering amplitudes based on analytic constraints from the operator product expansion for light-like Wilson loops and multi-Regge limits. Together with an ansatz for the space of relevant functions these place powerful constraints on the form of multi-loop amplitudes.

 

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