Proposes a refinement of the Swampland Cobordism Conjecture for duality groups, arguing that diverging commutator widths necessitate infinitely many duality defects to realize monodromies in 9d supergravity bordisms.
Acharya,Supersymmetry, Ricci Flat Manifolds and the String Landscape,JHEP08(2020) 128 [1906.06886]
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Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
Classifies shift vectors for heterotic orbifolds on Enriques surfaces, analyzes spectra, and interprets some models as non-supersymmetric 10D heterotic compactifications with tachyon projection.
citing papers explorer
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Bordisms between 9d type IIB supergravities and commutator widths of duality groups
Proposes a refinement of the Swampland Cobordism Conjecture for duality groups, arguing that diverging commutator widths necessitate infinitely many duality defects to realize monodromies in 9d supergravity bordisms.
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Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
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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.