3,872 research outputs found
Algebraic K-theory of quasi-smooth blow-ups and cdh descent
We construct a semi-orthogonal decomposition on the category of perfect
complexes on the blow-up of a derived Artin stack in a quasi-smooth centre.
This gives a generalization of Thomason's blow-up formula in algebraic K-theory
to derived stacks. We also provide a new criterion for descent in Voevodsky's
cdh topology, which we use to give a direct proof of Cisinski's theorem that
Weibel's homotopy invariant K-theory satisfies cdh descent.Comment: 24 pages; to appear in Annales Henri Lebesgu
Lorentz violation and Condensed Matter Physics
We present heuristic arguments that hint to a possible connection of Lorentz
violation with observed phenomenon in condensed matter physics. Various
references from condensed matter literature are cited where operators in the
Standard Model Extension appear to be enhanced. Furthermore, we consider the
Levy-Leblond equation, which is the analogue of Dirac equation in
non-relativistic quantum mechanics. We show that we can obtain the Levy-Leblond
equation by adding enhanced Lorentz violating operators to the Dirac equation.
Based on these observations, we propose that Lorentz violation exhibits itself
in non-relativistic quantum mechanics.Comment: 11 pages, 1 Tabl
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