17,476 research outputs found
Exceptional quantum subgroups for the rank two Lie algebras B2 and G2
Exceptional modular invariants for the Lie algebras B2 (at levels 2,3,7,12)
and G2 (at levels 3,4) can be obtained from conformal embeddings. We determine
the associated alge bras of quantum symmetries and discover or recover, as a
by-product, the graphs describing exceptional quantum subgroups of type B2 or
G2 which encode their module structure over the associated fusion category.
Global dimensions are given.Comment: 33 pages, 27 color figure
Cohomology of acting on the space of bilinear differential operators on the superspace
We compute the first cohomology of the ortosymplectic Lie superalgebra
on the (1,1)-dimensional real superspace with
coefficients in the superspace of bilinear
differential operators acting on weighted densities. This work is the simplest
superization of a result by Bouarroudj [Cohomology of the vector fields Lie
algebras on acting on bilinear differential operators,
International Journal of Geometric Methods in Modern Physics
(2005), {\bf 2}; N 1, 23-40]
Nonorthogonal Quantum States Maximize Classical Information Capacity
I demonstrate that, rather unexpectedly, there exist noisy quantum channels
for which the optimal classical information transmission rate is achieved only
by signaling alphabets consisting of nonorthogonal quantum states.Comment: 5 pages, REVTeX, mild extension of results, much improved
presentation, to appear in Physical Review Letter
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