Topological defects in Chern-Simons theory

Arvanitakis, Alex S.; Cole, Lewis T.; Demulder, Saskia; Thompson, Daniel C. (2025) Topological defects in Chern-Simons theory. Physical Review D, 111 (10). ISSN 2470-0010

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Abstract

We construct a new class of topological surface defects in Chern-Simons theory with noncompact, 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 semigroup structure with noninvertible 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.

Item Type:	Article
Uncontrolled Keywords:	topological defects; chern-simons
Subjects:	NATURAL SCIENCES > Mathematics > Geometry and Topology NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Više strukture i simetrije u baždarnim i teorijama gravitacije Athanasios Chatzistavrakidis IP-2024-05-7921 HRZZ
Depositing User:	Alexandros Spyridon Arvanitakis
Date Deposited:	19 May 2025 07:08
URI:	http://fulir.irb.hr/id/eprint/9825
DOI:	10.1103/PhysRevD.111.105014

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