810 research outputs found
On Infinite Order Simple Current Extensions of Vertex Operator Algebras
We construct a direct sum completion of a given
braided monoidal category which allows for the rigorous treatment
of infinite order simple current extensions of vertex operator algebras as seen
in \cite{CKL}. As an example, we construct the vertex operator algebra
associated to an even lattice as an infinite order simple current extension
of the Heisenberg VOA and recover the structure of its module category through
categorical considerations.Comment: 26 page
Modularity of logarithmic parafermion vertex algebras
The parafermionic cosets are
studied for negative admissible levels , as are certain infinite-order
simple current extensions of . Under the assumption that the tensor
theory considerations of Huang, Lepowsky and Zhang apply to , all
irreducible - and -modules are obtained from those of
, as are the Grothendieck fusion rules of these
irreducible modules. Notably, there are only finitely many irreducible
-modules. The irreducible - and -characters are computed and the
latter are shown, when supplemented by pseudotraces, to carry a
finite-dimensional representation of the modular group. The natural conjecture
then is that the are -cofinite vertex operator algebras.Comment: 28 pages; v2 31 pages: many clarifications and improvements,
especially to the example in Sec. 4.
Recursive T matrix algorithm for resonant multiple scattering: Applications to localized plasmon excitations
A matrix balanced version of the Recursive Centered T Matrix Algorithm
(RCTMA) applicable to systems possessing resonant inter-particle couplings is
presented. Possible domains of application include systems containing
interacting localized plasmon resonances, surface resonances, and photonic jet
phenomena. This method is of particular interest when considering modifications
to complex systems. The numerical accuracy of this technique is demonstrated in
a study of particles with strongly interacting localized plasmon resonances
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