The authors reformulate the equations of motion for AdS_D × I solutions in axio-dilaton gravity as a first-order autonomous dynamical system, identify fixed points and analytic solutions for arbitrary D including in type IIB, and discuss numerical flows in massive IIA.
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Sharpened Dynamical Cobordism ties the allowed range of critical exponent δ to theory structure ξ, flagging obstructions from non-trivial cobordism charges that require new degrees of freedom.
GSO projection consistency in Type II string theory requires the target space X to admit a spin structure (or G-equivariant spin structure for orbifolds), identified by computing the mixed bordism group Ω₃^spin(Bℤ₂ × X) and classifying corresponding theta angles.
New analytic AdS9 solutions in type IIB with finite action and central charge, numerical massive IIA solutions with diverging action, and perturbative dS9 solutions are constructed in type II supergravities.
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.
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.
Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
Upper bounds are placed on the order of enhanced discrete gauge symmetries in supersymmetric supergravity theories with 8 or more supercharges, with some bounds saturated by string theory examples.
Casimir backreaction obstructs asymptotically locally flat black-brane completions of naked singularities in non-supersymmetric 7-brane solutions within the studied ansatz.
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
citing papers explorer
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$\text{AdS}_D\times I$ solutions in axio-dilaton gravity
The authors reformulate the equations of motion for AdS_D × I solutions in axio-dilaton gravity as a first-order autonomous dynamical system, identify fixed points and analytic solutions for arbitrary D including in type IIB, and discuss numerical flows in massive IIA.
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Sharpened Dynamical Cobordism
Sharpened Dynamical Cobordism ties the allowed range of critical exponent δ to theory structure ξ, flagging obstructions from non-trivial cobordism charges that require new degrees of freedom.
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What makes spacetime spin in string theory?
GSO projection consistency in Type II string theory requires the target space X to admit a spin structure (or G-equivariant spin structure for orbifolds), identified by computing the mixed bordism group Ω₃^spin(Bℤ₂ × X) and classifying corresponding theta angles.
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AdS$_9$ solutions in type II supergravities
New analytic AdS9 solutions in type IIB with finite action and central charge, numerical massive IIA solutions with diverging action, and perturbative dS9 solutions are constructed in type II supergravities.
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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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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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Bounds on Discrete Gauge Symmetries in Supergravity
Upper bounds are placed on the order of enhanced discrete gauge symmetries in supersymmetric supergravity theories with 8 or more supercharges, with some bounds saturated by string theory examples.
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A Casimir obstruction to asymptotically flat black-brane completions of non-supersymmetric 7-branes
Casimir backreaction obstructs asymptotically locally flat black-brane completions of naked singularities in non-supersymmetric 7-brane solutions within the studied ansatz.
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Aspects of strings without spacetime supersymmetry
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
- Double fibration in G-theory and the cobordism conjecture