Hořava-Witten theory on S¹∨S¹ is dual to a type 0B orientifold with SO(16)^4 gauge group, explaining gauge group doubling via the geometry's junction and revealing two variants from E8 wall orientations.
M-theory onS1 ∨S 1 as Type 0A
10 Pith papers cite this work. Polarity classification is still indexing.
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Explicit worldsheet constructions of 9d junctions joining several 10d string theories via generalized RG flow interpolations and closed tachyon condensation, providing dynamical realizations of multi-theory cobordisms.
Isolated critical points of the potential are located in Scherk-Schwarz M-theory compactifications to d=8,6,5,4 by fixed points under unbroken duality groups, plus a conjectured duality-covariant anomaly cancellation condition for Z_N orbifolds.
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.
A duality web is proposed in which Z2 quotients of M-theory on S1 vee S1 and F-theory on (S1 vee S1) x S1 map to 0A/0B orientifolds and non-supersymmetric E-type and D-type heterotic strings, providing evidence for existing dualities.
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.
Worldsheet effects from wedge singularities plus D0-brane emergence reproduce the tree-level tachyon mass in type 0A strings within a specific scaling limit.
Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.
A consistent set of rules from M-theory on S¹ ∨ S¹ combined with type I' enhancements reproduces the light spectra, gauge groups, and global structure of ten-dimensional heterotic string theories, with indications of junctions between them.
Classifies singularity structures and asymptotics of cosmological solutions driven by exponential string potentials and curvatures k, k' in maximally symmetric spaces, emphasizing flat slices.
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The Art of Branching: Cobordism Junctions of 10d String Theories
Explicit worldsheet constructions of 9d junctions joining several 10d string theories via generalized RG flow interpolations and closed tachyon condensation, providing dynamical realizations of multi-theory cobordisms.