On topological defects in Chern-Simons theory
High Energy Physics - Theory
2024-12-17 v1
Abstract
We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, and their fusion realizes a semi-group structure with non-invertible elements. From a Hamiltonian perspective, we calculate this fusion using the composition of Lagrangian correspondences within the Weinstein symplectic category. Applications include boundary terms and conditions in gravity and higher-spin theories.
Cite
@article{arxiv.2412.11718,
title = {On topological defects in Chern-Simons theory},
author = {Alex S. Arvanitakis and Lewis T. Cole and Saskia Demulder and Daniel C. Thompson},
journal= {arXiv preprint arXiv:2412.11718},
year = {2024}
}
Comments
5 pages