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Intermediate cumulation
In this snippet, I will describe a new case where overt wh-movement leads to additional scope possibilities
The Intermediate Higgs
Two paradigms for the origin of electroweak superconductivity are a weakly
coupled scalar condensate, and a strongly coupled fermion condensate. The
former suffers from a finetuning problem unless there are cancelations to
radiative corrections, while the latter presents potential discrepancies with
precision electroweak physics. Here we present a framework for electroweak
symmetry breaking which interpolates between these two paradigms, and mitigates
their faults. As in Little Higgs theories, the Higgs is a pseudo-Nambu
Goldstone boson, potentially composite. The cutoff sensitivity of the one loop
top quark contribution to the effective potential is canceled by contributions
from additional vector-like quarks, and the cutoff can naturally be higher than
in the minimal Standard Model. Unlike the Little Higgs models, the cutoff
sensitivity from one loop gauge contributions is not canceled. However, such
gauge contributions are naturally small as long as the cutoff is below 6 TeV.
Precision electroweak corrections are suppressed relative to those of
Technicolor or generic Little Higgs theories. In some versions of the
intermediate scenario, the Higgs mass is computable in terms of the masses of
these additional fermions and the Nambu-Goldstone Boson decay constant. In
addition to the Higgs, new scalar and pseudoscalar particles are typically
present at the weak scale
Normal intermediate subfactors
Let be an irreducible inclusion of type type II factors
with finite Jones index. We shall introduce the notion of normality for
intermediate subfactors of the inclusion . If the depth of is 2, then an intermediate subfactor for is normal
in if and only if the depths of and
are both 2. In particular, if is the crossed product of a
finite group , then is normal in if and only
if is a normal subgroup of .Comment: 25 pages, amslatex, to appear in J. Math. Soc. Japa
Topologies for intermediate logics
We investigate the problem of characterizing the classes of Grothendieck
toposes whose internal logic satisfies a given assertion in the theory of
Heyting algebras, and introduce natural analogues of the double negation and De
Morgan topologies on an elementary topos for a wide class of intermediate
logics.Comment: 21 page
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