Non-supersymmetric type II asymmetric orbifolds with Z_k x Z_k Abelian point groups (k=2,3,4) admit vanishing one-loop vacuum energy via sector-wise conservation of a supercharge-like operator.
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Defects for discrete symmetries encoded in bordism groups Ω^ξ_2(BG) and H_2(BG;Z) are described as brane networks rather than isolated objects, extending the Cobordism Conjecture and demonstrated in 4d supergravity from string/M-theory.
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.
Dai-Freed anomalies for chiral fermion actions in heterotic asymmetric orbifolds recover the level-matching constraints plus mod-2 conditions for even m.
citing papers explorer
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Asymmetric orbifolds with vanishing one-loop vacuum energy
Non-supersymmetric type II asymmetric orbifolds with Z_k x Z_k Abelian point groups (k=2,3,4) admit vanishing one-loop vacuum energy via sector-wise conservation of a supercharge-like operator.
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A missing link: Brane networks and the Cobordism Conjecture
Defects for discrete symmetries encoded in bordism groups Ω^ξ_2(BG) and H_2(BG;Z) are described as brane networks rather than isolated objects, extending the Cobordism Conjecture and demonstrated in 4d supergravity from string/M-theory.
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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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Dai-Freed anomalies and level matching in heterotic asymmetric orbifolds
Dai-Freed anomalies for chiral fermion actions in heterotic asymmetric orbifolds recover the level-matching constraints plus mod-2 conditions for even m.