GSO projection consistency in Type II string theory requires the target space X to admit a spin structure (or G-equivariant spin structure for orbifolds), identified by computing the mixed bordism group Ω₃^spin(Bℤ₂ × X) and classifying corresponding theta angles.
Witten, Anomalies and Nonsupersymmetric D-Branes
6 Pith papers cite this work. Polarity classification is still indexing.
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Explicit computation of instanton-induced amplitudes in minimal superstring theories at subleading order, after regulating open-string degenerations with string field theory, yields exact agreement with DDK-KPZ scaling.
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
Verification of Blum-Dienes and Bergman-Gaberdiel dualities shows agreement in gauge group global forms from orientifold brane states and internal lattices, with one subtle projection exception.
Staggered fermions in 2+1d show modulo 8 parity/time-reversal anomalies that match between lattice and continuum when placed on tori and Klein bottles via a nontrivial symmetry map.
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
citing papers explorer
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What makes spacetime spin in string theory?
GSO projection consistency in Type II string theory requires the target space X to admit a spin structure (or G-equivariant spin structure for orbifolds), identified by computing the mixed bordism group Ω₃^spin(Bℤ₂ × X) and classifying corresponding theta angles.
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Instanton-Induced Closed-String Amplitudes in Minimal Superstring Theory at Subleading Order
Explicit computation of instanton-induced amplitudes in minimal superstring theories at subleading order, after regulating open-string degenerations with string field theory, yields exact agreement with DDK-KPZ scaling.
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Anomalies in family unification models from bordism classification
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
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Non-supersymmetric dualities beyond the gauge algebra
Verification of Blum-Dienes and Bergman-Gaberdiel dualities shows agreement in gauge group global forms from orientifold brane states and internal lattices, with one subtle projection exception.
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Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions
Staggered fermions in 2+1d show modulo 8 parity/time-reversal anomalies that match between lattice and continuum when placed on tori and Klein bottles via a nontrivial symmetry map.
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What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.