267 research outputs found
Extended F_4-buildings and the Baby Monster
The Baby Monster group B acts naturally on a geometry E(B) with diagram
c.F_4(t) for t=4 and the action of B on E(B) is flag-transitive. It possesses
the following properties:
(a) any two elements of type 1 are incident to at most one common element of
type 2, and
(b) three elements of type 1 are pairwise incident to common elements of type
2 iff they are incident to a common element of type 5.
It is shown that E(B) is the only (non-necessary flag-transitive)
c.F_4(t)-geometry, satisfying t=4, (a) and (b), thus obtaining the first
characterization of B in terms of an incidence geometry, similar in vein to one
known for classical groups acting on buildings. Further, it is shown that E(B)
contains subgeometries E(^2E_6(2)) and E(Fi22) with diagrams c.F_4(2) and
c.F_4(1). The stabilizers of these subgeometries induce on them flag-transitive
actions of ^2E_6(2):2 and Fi22:2, respectively. Three further examples for t=2
with flag-transitive automorphism groups are constructed. A complete list of
possibilities for the isomorphism type of the subgraph induced by the common
neighbours of a pair of vertices at distance 2 in an arbitrary c.F_4(t)
satisfying (a) and (b) is obtained.Comment: to appear in Inventiones Mathematica
Nonperturbative and spin effects in the central exclusive production of tensor meson
We discuss central exclusive production (CEP) of the tensor
meson in proton-(anti)proton collisions at Tevatron, RHIC and LHC energies. The
amplitude for the process is derived within the -factorisation approach.
Differential and total cross sections are calculated for several unintegrated
gluon distributions (UGDFs). We compare exclusive production of all charmonium
states and . Equally good description
of the recent Tevatron data is achieved both with Martin-Ryskin
phenomenological UGDF and UGDF based on unified BFKL-DGLAP approach. Unlike for
Higgs production, the main contribution to the diffractive amplitude of heavy
quarkonia comes from nonperturbative region of gluon transverse momenta
Q_{\perp}<1\,\GeV. At 0, depending on UGDF we predict the
contribution of to the channel to be
comparable or larger than that of the one. This is partially due
to a significant contribution from lower polarization states for
and for meson. Corresponding
theoretical uncertainties are discussed.Comment: 18 pages, 12 figures, discrepancies with Durham group results
clarified, numerics corrected, basic conclusions unchanged, acknowledgements
adde
Waveguide propagation of light in polymer porous films filled with nematic liquid crystals
We theoretically analyze the waveguide regime of light propagation in a
cylindrical pore of a polymer matrix filled with liquid crystals assuming that
the effective radial optical anisotropy is biaxial. From numerical analysis of
the dispersion relations, the waveguide modes are found to be sensitive to the
field-induced changes of the anisotropy. The electro-optic properties of the
polymer porous polyethylene terephthalate (PET) films filled with the nematic
liquid crystal 5CB are studied experimentally and the experimental results are
compared with the results of the theoretical investigation.Comment: 15 pages, 10 figures, revtex4-
Two distance-regular graphs
We construct two families of distance-regular graphs, namely the subgraph of
the dual polar graph of type B_3(q) induced on the vertices far from a fixed
point, and the subgraph of the dual polar graph of type D_4(q) induced on the
vertices far from a fixed edge. The latter is the extended bipartite double of
the former
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