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- W3100508830 abstract "For every $p geq 2$, we obtained an explicit construction of a family of $mathcal{W}(2,2p-1)$-modules, which decompose as direct sum of simple Virasoro algebra modules. Furthermore, we classified all irreducible self-dual $mathcal{W}(2,2p-1)$-modules, we described their internal structure, and computed their graded dimensions. In addition, we constructed certain hidden intertwining operators among two ordinary and one $mathcal{W}(2,2p-1)$-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 $c_{p,1}=1-frac{6(p-1)^2}{p}, p geq 2$. 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 $mathcal{W}(2,(2p-1)^3)$ and other models." @default.
- W3100508830 created "2020-11-23" @default.
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- W3100508830 date "2007-07-01" @default.
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- W3100508830 title "Logarithmic intertwining operators and W(2,2p−1) algebras" @default.
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- W3100508830 doi "https://doi.org/10.1063/1.2747725" @default.
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