3 problems
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Surgery and matter parameter-length conjecture
In the geometric description, surgery circles and matter circles carry length parameters, while the associated physical parameters are the Fayet–Iliopoulos parameter and the m…
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Matter-node circle conjecture for three-manifolds
Consider a matter node coupled to gauge nodes , with charge under each gauge group . The charge is interpreted as the winding number between th…
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Geometric loop conjecture for matter-engineering objects
The plumbing description uses three-manifolds with surgery circles and matter nodes; the charge of a chiral multiplet is interpreted as a winding number. Geometric loop conjecture.…