Projects per year
Abstract
Topological defects attract much recent interest in high-energy and condensed matter physics because they encode (non-invertible) symmetries and dualities. We study codimension-1 topological defects from a hamiltonian point of view, with the defect location playing the role of `time'. We show that the Weinstein symplectic category governs topological defects and their fusion: each defect is a lagrangian correspondence, and defect fusion is their geometric composition. We illustrate the utility of these ideas by constructing S- and T-duality defects in string theory, including a novel topology-changing non-abelian T-duality defect.
Original language | English |
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Article number | 066016 |
Number of pages | 6 |
Journal | Phys. Rev. D |
Volume | 107 |
Issue number | 6 |
DOIs | |
Publication status | Published - 15 Mar 2023 |
Bibliographical note
5+1 pages v2: fixed Acknowledgments, v3: fixed a typo; essentially matches published versionFingerprint
Dive into the research topics of 'Topological defects as lagrangian correspondences'. Together they form a unique fingerprint.-
FWOIRI15: Essential Technologies for the Einstein Telescope
Sevrin, A., Vervaeke, M. & Mariotti, A.
1/01/23 → 31/12/26
Project: Fundamental
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SRP72: SRP-Onderzoekszwaartepunt: High-energy physics (HEP@VUB).
D'Hondt, J., Buitink, S., Craps, B., De Vries, K., Lowette, S. & Mariotti, A.
1/11/22 → 31/10/27
Project: Fundamental
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FWOTM1046: Uncovering the higher symmetries of quantum fields and branes
1/10/21 → 30/09/24
Project: Fundamental