Journal Article PUBDB-2026-00559

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Translation invariant defects as an extension of topological symmetries

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2026
World Scientific Publ. Singapur

International journal of modern physics / A 0, 2648001 () [10.1142/S0217751X26480015]
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Abstract: The modern way to understand symmetries of a quantum field theory is via its topological defects in various dimensions. In this contribution to the proceedings, we focus on line defects in 2dQFT and we point out that topological defects naturally embed into a larger class, namely, translation invariant defects. The latter still allow for nonsingular fusion and one obtains a monoidal category of translation invariant defects which contains that of topological defects as a full subcategory. We give a simple perturbative description of translation invariant defects in a perturbed conformal field theory via chiral three-dimensional topological field theory. We show in the example of the Ising CFT and the Lee–Yang CFT that even if no topological defects survive the deformation, some translation invariant defects still do.

Classification:

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)
  2. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)
  3. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2026
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Medline ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection
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 Record created 2026-01-28, last modified 2026-02-02


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