Topological defects in Chern-Simons theory

Alex S. Arvanitakis; Lewis T. Cole; Saskia Demulder; Daniel C. Thompson

doi:10.1103/PhysRevD.111.105014

Topological defects in Chern-Simons theory

Alex S. Arvanitakis
, Lewis T. Cole
, Saskia Demulder
, Daniel C. Thompson

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 AdS3 gravity and higher-spin theories.

Original language	English
Article number	105014
Journal	Physical Review D
Volume	111
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.111.105014
State	Published - 15 May 2025

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.111.105014

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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 AdS3 gravity and higher-spin theories.",

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N2 - 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 AdS3 gravity and higher-spin theories.

AB - 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 AdS3 gravity and higher-spin theories.

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ER -

Topological defects in Chern-Simons theory

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