Refines charge quantization via homotopy type A whose homotopy groups classify brane charges and homology groups classify higher-form symmetries, deriving swampland-like constraints that rule out noncompact gauge groups and non-nilpotent Lie algebras for field strengths.
Rational homotopy theory: a brief introduction
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
These notes contain a brief introduction to rational homotopy theory: its model category foundations, the Sullivan model and interactions with the theory of local commutative rings.
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Global completion of Maxwell-type higher gauge fields is achieved by flux quantization in differential nonabelian cohomology, with applications to M-theory, type IIA supergravity, and M5-brane anyons.
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Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
Refines charge quantization via homotopy type A whose homotopy groups classify brane charges and homology groups classify higher-form symmetries, deriving swampland-like constraints that rule out noncompact gauge groups and non-nilpotent Lie algebras for field strengths.
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Higher Gauge Theory via Differential Nonabelian Cohomology
Global completion of Maxwell-type higher gauge fields is achieved by flux quantization in differential nonabelian cohomology, with applications to M-theory, type IIA supergravity, and M5-brane anyons.