Higher gauging of 1-form symmetries on surfaces in 2+1d QFT yields condensation defects whose fusion rules involve 1+1d TQFTs and realizes every 0-form symmetry in TQFTs.
On Orbifolds with Discrete Torsion
4 Pith papers cite this work, alongside 187 external citations. Polarity classification is still indexing.
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abstract
We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain ``stringy regions'' that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.
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An algebraic method using the path algebra of quivers extracts symmetry anomaly data for 5D SCFTs engineered from M-theory on Calabi-Yau cones.
Classifies shift vectors for heterotic orbifolds on Enriques surfaces, analyzes spectra, and interprets some models as non-supersymmetric 10D heterotic compactifications with tachyon projection.
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Higher Gauging and Non-invertible Condensation Defects
Higher gauging of 1-form symmetries on surfaces in 2+1d QFT yields condensation defects whose fusion rules involve 1+1d TQFTs and realizes every 0-form symmetry in TQFTs.
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Quiver Approach to Symmetry Theories
An algebraic method using the path algebra of quivers extracts symmetry anomaly data for 5D SCFTs engineered from M-theory on Calabi-Yau cones.
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Heterotic Strings on Enriques Surfaces
Classifies shift vectors for heterotic orbifolds on Enriques surfaces, analyzes spectra, and interprets some models as non-supersymmetric 10D heterotic compactifications with tachyon projection.
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