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

@article{Adamovi2007LogarithmicIO,
title={Logarithmic intertwining operators and W(2,2p−1) algebras},
journal={Journal of Mathematical Physics},
year={2007},
volume={48},
pages={073503-073503}
}
• Published 4 February 2007
• Mathematics
• Journal of Mathematical Physics
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…
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