Drazen Adamovic

Logarithmic intertwining operators and W(2,2p−1) algebras

For every p⩾2, we obtained an explicit construction of a family of W(2,2p−1) modules, which decompose as direct sum of simple Virasoro algebra modules. Furthermore, we classified all irreducible self-dual W(2,2p−1) modules, we described their internal structure, and computed their graded dimensions. In addition, we constructed certain hidden logarithmic intertwining operators among two ordinary and one logarithmic W(2,2p−1) modules. This work, in particular, gives a mathematically precise formulation and interpretation of what physicists have been referring to as “logarithmic conformal field theory” of central charge cp,1=1−[6(p−1)2∕p], p⩾2. Our explicit construction can be easily applied for computations of correlation functions. Techniques from this paper can be used to study the triplet vertex operator algebra W(2,(2p−1)3) and other logarithmic models.

The N = 1 Triplet Vertex Operator Superalgebras

We introduce a newfamily of C2-cofinite N = 1 vertex operator superalgebras

A REALIZATION OF CERTAIN MODULES FOR THE N = 4 SUPERCONFORMAL ALGEBRA AND THE AFFINE LIE ALGEBRA A 2 (1)

{\mathcal{SW}(m)}

Conformal embeddings of affine vertex algebras in minimal

, m ≥ 1, which are natural super analogs of the triplet vertex algebra family

-algebras I: structural results

{\mathcal{W}(p)}

Finite vs. Infinite Decompositions in Conformal Embeddings

, p ≥ 2, important in logarithmic conformal field theory. We classify irreducible