8 problems
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The scaling-limit conjecture for local and global intertwiners
Scaling-limit conjecture. The existence of a non-trivial scaling limit should imply this equivalence of local and global intertwiners.
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The conjecture that modular symmetry groups are generically larger than spacetime symmetry groups
Modular symmetry-group size conjecture. Modular symmetry groups are generically larger than the isometry and conformal groups of the underlying space-times.
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Wald's conjecture on zeta-function and point-splitting stress-tensor renormalization
Wald's conjecture. In general, the zeta-function and point-splitting approaches should lead to the same results.
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The conjecture that the scalar quantum-inequality bump is an artifact
Let denote the scale function in the scalar-field difference inequality for the Einstein closed universe with Lorentzian sampling. This function has a bump, pea…
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Generalisation of separable Hadamard states to spacetimes with non-trivial topology
Generalisation conjecture. The existence result for separable, quasi-free Hadamard states between spacelike separated regions should generalise to spacetimes with non-trivial topol…
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Hadamard-state conjecture for the modified Sorkin–Johnston construction
The Sorkin–Johnston construction associates states to globally hyperbolic spacetimes by spectrally decomposing the causal propagator restricted to a time interval. A modification i…
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The implementability conjecture for vector fields in twisted quantum field theory
Let be a vector field on the curved spacetime, and call it implementable when it satisfies the consistency conditions required for its action to be represented on the alg…
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Extension of the Maxwell field analysis to noncompact Cauchy surfaces
The paper studies the classical phase space and quantization of the -form Maxwell field on a globally hyperbolic spacetime , and in the discussion under consideration…