We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham e-Theses
You are in:

Infinite Dimensional Symmetries of Self-Dual Yang-Mills Theories.

WARDLOW, ADAM,BARTHOLOMEW (2011) Infinite Dimensional Symmetries of Self-Dual Yang-Mills Theories. Doctoral thesis, Durham University.

PDF - Accepted Version


We construct infinite dimensional symmetries of the Chalmers-Siegel action describing the self-dual sector of non-supersymmetric Yang-Mills. The symmetries are derived by virtue of a canonical transformation between the Yang-Mills fields and new fields that map the Chalmers-Siegel action to a free theory which has been used to construct a Lagrangian approach to the MHV rules. We describe the symmetries of the free theory in a quite general way which are an infinite dimensional algebra in the group algebra of isometries.

We dimensionally reduce the symmetries of the action to write down symmetries of the Hitchin system and further, we extend the construction to the $N=4$ supersymmetric, self-dual theory.

We review recent developments in the approach to calculating N=4 Yang-Mills scattering amplitudes using symmetry arguments. Super-conformal symmetry and the recently discovered dual super-conformal symmetry have been shown to be related as a Yangian algebra and moreover, anomalous terms appearing in their action on amplitudes lead to deformations of the generators which gives rise to recursive relationships between amplitudes.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:Yang-Mills, Infinite Symmetries, Supersymmetry, Space-Time Symmetries, MHV rules.
Faculty and Department:Faculty of Science > Mathematical Sciences, Department of
Thesis Date:2011
Copyright:Copyright of this thesis is held by the author
Deposited On:01 Feb 2011 14:42

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitter