Topological defects in Chern-Simons theory
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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mtext>AdS</a:mtext><a:mn>3</a:mn></a:msub></a:math> gravity and higher-spin theories.
Authors
- Saskia Demulder (ORCID: https://orcid.org/0000-0002-4337-4489)
- Daniel C. Thompson (ORCID: https://orcid.org/0000-0001-8319-8275)
- Alex S. Arvanitakis (ORCID: https://orcid.org/0000-0002-6646-5500)
- Lewis T. Cole (ORCID: https://orcid.org/0000-0003-2444-0812)
Institutions
- Ben-Gurion University of the Negev (IL)
- Swansea University (GB)
- Ruđer Bošković Institute (HR)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-05-14
- DOI
- https://doi.org/10.1103/physrevd.111.105014
- Citations
- 1
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- Royal Society
- European Commission
- Israel Science Foundation
- Hrvatska Zaklada za Znanost
- Ben-Gurion University of the Negev
- Azrieli Foundation
- Science and Technology Facilities Council
- European Research Council
- High Energy Physics