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
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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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Classification of shift vectors in heterotic orbifold compactifications on Enriques surfaces with spectrum analysis and tachyon projection for non-supersymmetric interpretations.
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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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Heterotic Strings on Enriques Surfaces
Classification of shift vectors in heterotic orbifold compactifications on Enriques surfaces with spectrum analysis and tachyon projection for non-supersymmetric interpretations.