Let V be a vertex operator algebra. It is shown that the categories of weak, admissible and ordinary g-twisted modules for the tensor product VOA V ⊗k are isomorphic to the categories of weak, admissible and ordinary V -modules respectively where g is a k cycle automorphism of V ⊗k. For arbitrary permutation automorphism g of V ⊗k the category of admissible g-twisted modules for V ⊗k is semi si...

The theoretical status of the 'proton spin' effect is reviewed. The conventional QCD parton model analysis of polarised DIS is compared with a complementary approach, the composite operator propagator-vertex (CPV) method, each of which provides its own insight into the origin of the observed suppression in the first moment of g p 1. The current status of both experiment and non-perturbative cal...

We review 28 uniform partitions of 3-space in order to find out which of them have graphs (skeletons) embeddable isometrically (or with scale 2) into some cubic lattice Zn. We also consider some relatives of those 28 partitions, including Achimedean 4-polytopes of Conway-Guy, non-compact uniform partitions, Kelvin partitions and those with unique vertex figure (i.e. Delaunay star). Among last o...

We review 28 uniform partitions of 3-space in order to find out which of them have graphs (skeletons) embeddable isometrically (or with scale 2) into some cubic lattice Zn. We also consider some relatives of those 28 partitions, including Achimedean 4-polytopes of Conway-Guy, non-compact uniform partitions, Kelvin partitions and those with unique vertex figure (i.e. Delaunay star). Among last o...

In this paper we construct bases of standard modules L(Λ) for affine Lie algebra of type B (1) 2 consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for FeiginStoyanovsky’s subspaces W (Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W (kΛ0) for B (1) 2 and the standard module L...

The theoretical status of the 'proton spin' effect is reviewed. The conventional QCD parton model analysis of polarised DIS is compared with a complementary approach, the composite operator propagator-vertex (CPV) method, each of which provides its own insight into the origin of the observed suppression in the first moment of g p 1. The current status of both experiment and non-perturbative cal...

The luminosity upgrade of the large hadron collider (SLHC) at CERN will require the innermost layers of the vertex detectors to achieve excellent performances up to fluences of about 10 hadrons cm . New solid state detectors are currently being developed by the CERN RD50 collaboration. In this paper recent results on magnetic Czochralski, epitaxial, and oxygen-enriched silicon will be presented...

The instanton-induced effective vertex is derived for N = 2 supersymmetric QCD (SQCD) with arbitrary mass matter hypermultiplets for the case of SU(2). The leading term of the low energy effective lagrangian obtained from this vertex agrees with oneinstanton effective term of the Seiberg-Witten result. [email protected] [email protected] During the past year there has been a lot of ...

Let G be a graph with p vertices and q edges and A = {0, 1, 2, . . . , [q/2]}. A vertex labeling f : V (G) → A induces an edge labeling f∗ defined by f∗(uv) = f(u) + f(v) for all edges uv. For a ∈ A, let vf (a) be the number of vertices v with f(v) = a. A graph G is said to be vertex equitable if there exists a vertex labeling f such that for all a and b in A, |vf (a) − vf (b)| ≤ 1 and the indu...