On two-dimensional quasitopological field theories

Abstract

We study a class of lattice field theories in two dimensions that includes gauge theories. We show that in these theories it is possible to implement a broader notion of local symmetry, based on semi-simple Hopf algebras. A character expansion is developed for the quasitopological field theories, and partition functions are calculated with this tool. Expected values of generalized Wilson loops are defined and studied with the character expansion.

17 pages, 6 figures

References in corpus (4)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Broken quantum symmetry and confinement phases in planar physics
• Hopf algebra approach to Feynman diagram calculations

Cited by in corpus (2)

• 2D Quantum Double Models From a 3D Perspective
• Quasi-Topological Quantum Field Theories and $Z_2$ Lattice Gauge Theories