The Z2 bosonic orbifold models with compactification radius R 2 = 1/2k are examined in the presence of boundaries. Demanding the extended algebra characters to have definite conformal dimension and to consist of an integer sum of Virasoro characters, we arrive at the right splitting of the partition function. This is used to derive a free field representation of a complete, consistent set of bo...

The first-order formulation of the principal sigma model with a Lie group target space is performed. By using the dualisation of the algebra and the field content of the theory the field equations which are solely written in terms of the field strengths are realized through an extended symmetry algebra parametrization. The structure of this symmetry algebra is derived so that it generates the r...

Extended Markovian Process Algebra (EMPA) is a process algebra suitable for expressing functional and performance aspects of concurrent systems. It is equipped with an operational interleaving semantics, a functional semantics, a Markovian semantics and an operational net semantics. In this paper we apply an integrated approach based on EMPA for mod-eling and analyzing concurrent systems to the...

Relational algebra is a well-known formalism for expressing queries against a relational database. In this paper we will present a relational algebra for declarative languages. It is based in the use of the operators of projection, selection, renaming, cross product, union and join. This relational algebra can be used for dening predicates and functions for a declarative language, and in genera...

We construct a subfactor planar algebra, and as a corollary a subfactor, with the ‘extended Haagerup’ principal graph pair. This is the last open case from Haagerup’s 1993 list of potential principal graphs of subfactors with index in the range (4, 3 + √ 3) . We prove that the subfactor planar algebra with these principal graphs is unique. We give a skein theoretic description, and a descriptio...

We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras [1] with which one can replace the traditional multivector expansion of Cl(g) with an expansion in terms of simple (also: pure) spinors. We show that a Clifford algebra with 2m generators is the direct sum of 2m spinor subspaces S characterized as being left eigenvectors of Γ; furthermore we prove that the well ...

We show that the category of representations of the Euclidean group E(2) is equivalent to the category of representations of the preprojective algebra of the quiver of type A∞. Furthermore, we consider the moduli space of E(2)-modules along with a set of generators. We show that these moduli spaces are quiver varieties of the type considered by Nakajima. These identifications allow us to draw o...

Two-dimensional critical percolation is the member LM(2, 3) of the infinite series of Yang-Baxter integrable logarithmic minimal models LM(p, p′). We consider the continuum scaling limit of this lattice model as a ‘rational’ logarithmic conformal field theory with extended W = W2,3 symmetry and use a lattice approach on a strip to study the fundamental fusion rules in this extended picture. We ...

A charge in a compact metric space is a continuous linear functional on the space of normal chains with real coefficients equipped with a modified flat norm topology. Charges form a cochain complex whose cohomology reflects metric, rather than topological, properties of metric spaces. Elaborating on an idea of De Giorgi, we construct a normed graded differential algebra of Lipschitz forms in a ...