Proposes a refinement of the Swampland Cobordism Conjecture for Ω1(BG) with duality bundle G, where diverging commutator width of G requires infinitely many duality defects to realize monodromies via gravitational solitons.
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.
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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Bordisms between 9d type IIB supergravities and commutator widths of duality groups
Proposes a refinement of the Swampland Cobordism Conjecture for Ω1(BG) with duality bundle G, where diverging commutator width of G requires infinitely many duality defects to realize monodromies via gravitational solitons.
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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
Classification of shift vectors in heterotic orbifold compactifications on Enriques surfaces with spectrum analysis and tachyon projection for non-supersymmetric interpretations.