### Conveners

#### T1-4 Mathematical Physics (DTP) / Physique mathématique (DPT)

- Andrew Frey (University of Winnipeg)

Charles Doran
(University of Alberta)

6/16/15, 8:45 AM

Theoretical Physics / Physique théorique (DTP-DPT)

Invited Speaker / Conférencier invité

The problem of classifying off-shell representations of the N-extended one-dimensional super Poincare algebra is closely related to the study of a class of decorated graphs known as Adinkras. We show that these combinatorial objects possess a form of emergent supergeometry: Adinkras are equivalent to very special super Riemann surfaces with divisors. The method of proof critically involves...

Karen Yeats
(Simon Fraser University)

6/16/15, 9:15 AM

Theoretical Physics / Physique théorique (DTP-DPT)

Invited Speaker / Conférencier invité

I will discuss two recent ideas on how to better understand the underlying structure of Dyson-Schwinger equations in quantum field theory. These approaches use primarily combinatorial tools; classes of rooted trees in the first case and chord diagrams in the second case. The mathematics is explicit and approachable.

Dr
Pablo Diaz Benito
(University of Lethbridge)

6/16/15, 9:45 AM

Theoretical Physics / Physique théorique (DTP-DPT)

Oral (Non-Student) / orale (non-étudiant)

In this talk we construct two infinite sets of self-adjoint commuting charges for a quite general CFT. They come out naturally by considering an infinite embedding chain of Lie algebras, an underlying structure that share all theories with gauge groups U(N), SO(N) and Sp(N). The generality of the construction allows us to carry all gauge groups at the same time in a unified framework, and so...

Paul Mikula
(University of Manitoba)

6/16/15, 10:00 AM

Theoretical Physics / Physique théorique (DTP-DPT)

Oral (Student, Not in Competition) / Orale (Étudiant(e), pas dans la compétition)

The Yang-Mills flow equations are a parabolic system of partial differential equations determined by the gradient of the Yang-Mills functional, whose stationary points are given by solutions to the equations of motion. We consider the flow equations for a Yang-Mills-Higgs system, where the gauge field is coupled with a scalar field. In particular we consider the Abelian case with axial...