Classical theta functions from a quantum group perspective

Abstract

In this paper we construct the quantum group, at roots of unity, of abelian Chern-Simons theory. We then use it to model classical theta functions and the actions of the Heisenberg and modular groups on them.

References in corpus (3)

• Abelian Chern-Simons theory
• Abelian Chern-Simons theory with toral gauge group, modular tensor categories, and group categories
• The Weyl quantization and the quantum group quantization of the moduli space of flat SU(2)-connections on the torus are the same

Cited by in corpus (1)

• Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory