ar X iv : q - a lg / 9 70 80 08 v 1 7 A ug 1 99 7 W 1 + ∞ algebra , W 3 algebra , and Friedan - Martinec - Shenker bosonization
نویسنده
چکیده
We show that the vertex algebra W1+∞ with central charge −1 is isomorphic to a tensor product of the simple W3 algebra with central charge −2 and a Heisenberg vertex algebra generated by a free bosonic field. We construct a family of irreducible modules of the W3 algebra with central charge −2 in terms of free fields and calculate the full character formulas of these modules with respect to the full Cartan subalgebra of the W3 algebra.
منابع مشابه
ar X iv : q - a lg / 9 70 80 16 v 1 1 7 A ug 1 99 7 Classification of irreducible modules of W 3 algebra with c = −
We construct irreducible modules Vα, α ∈ C over W3 algebra with c = −2 in terms of a free bosonic field. We prove that these modules exhaust all the irreducible modules of W3 algebra with c = −2. Highest weights of modules Vα, α ∈ C with respect to the full (two-dimensional) Cartan subalgebra of W3 algebra are ( 1 2α(α − 1), 16α(α − 1)(2α − 1) ) . They are parametrized by points (t, w) on a rat...
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