6 problems
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The anyon–superselection sector correspondence conjecture for exactly solvable models
Anyon–superselection sector correspondence conjecture. In these models, anyons should be in one-to-one correspondence with the superselection sectors.
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Distinguished local extension conjecture for type-I DHR orbits
Distinguished local extension conjecture. The local chiral extension
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The geometric-states conjecture on Jones projectors and superselection sectors
In the setting of a local quantum physics net with disconnected regions, call states obtained from geometric transformations geometric states; let a state be cyclic for the relevan…
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Dyonic total-charge conjecture for dynamical inequivalence of sectors
Let and \r'=(\varepsilon',\mu') be finite-support electric and magnetic charge distributions, with total charges q_\r and q_{\r'}. Let \pi_\r and…
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Trivial-sector conjecture for infinite tensor products of full free theories
An infinite tensor product of full free theories is understood as the field net formed from infinitely many free theories in the construction above. Trivial-sector conjecture. The…
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Haag's conjecture on local gauge groups and representations of observable algebras
Haag's conjecture. Local gauge groups can be explained within the algebraic formulation similarly to global gauge groups, by allowing a wider class of representations of the observ…