6 papers
Combinatorics of the geometry of Wilson loop diagrams II: Grassmann necklaces, dimensions, and denominators
Susama Agarwala, Siân Fryer, Karen Yeats
Wilson loop diagrams are an important tool in studying scattering amplitudes of SYM theory and are known by previous work to be associated to positroids. In this paper we stu…
Combinatorics of the geometry of Wilson loop diagrams I: equivalence classes via matroids and polytopes
Susama Agarwala, Siân Fryer, Karen Yeats
Wilson loop diagrams are an important tool in studying scattering amplitudes of SYM theory and are known by previous work to be associated to positroids. We characterize the…
An algorithm to construct the Le diagram associated to a Grassmann necklace
Susama Agarwala, Sian Fryer
Le diagrams and Grassmann necklaces both index the collection of positroids in the nonnegative Grassmannian , but they excel at very different tasks: for example,…
A study in : from the geometric case book of Wilson loop diagrams and SYM
Susama Agarwala, Sian Fryer
We study the geometry underlying the Wilson loop diagram approach to calculating scattering amplitudes in the gauge theory of Supersymmetric Yang Mills (SYM) . By applying the…
Color Lie rings and PBW deformations of skew group algebras
S. Fryer, T. Kanstrup, E. Kirkman +2
We investigate color Lie rings over finite group algebras and their universal enveloping algebras. We exhibit these universal enveloping algebras as PBW deformations of skew group…
The -Division Ring, Quantum Matrices and Semi-classical Limits
Siân Fryer
Our aim in this thesis is to use the language of deformation-quantization to understand certain quantized algebras by looking at properties of the corresponding commutative ones, a…