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.
A Duality Web for Non-Supersymmetric Strings
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abstract
Motivated by the recently proposed geometric descriptions of 0A and 0B in M-theory and F-theory, we propose a web of duality among non-supersymmetric strings. In particular we argue that the distinct $\mathbb{Z}_2$ quotients of M-theory on $S^1\vee S^1$ lead to both 0A orientifolds as well as non-supersymmetric 10d heterotic vacua of the E-type, including the tachyon-free $SO(16)\times SO(16)$ strings. Moreover we identify certain $\mathbb{Z}_2$ quotients of F-theory on $(S^1\vee S^1)\times S^1$ with 0B orientifolds (including a tachyon-free model) as well as others with dual to non-supersymmetric heterotic strings of the D-type. Moreover using this picture we resolve some puzzles and provide further evidence for the Bergman-Gaberdiel duality between a particular 0B orientifold in 10 dimensions and the Narain compactification of 26-dimensional bosonic strings on a 16-dimensional torus, as well as the DMS conjecture of a 0A orientifold duality in 10d with a bosonic string orientifold of a Narain compactification to 10d.
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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.
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.
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.
citing papers explorer
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Isolated Critical Points for Scherk-Schwarz Compactifications of M-theory
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.
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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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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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Heterotic Ouroboros
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.