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arXiv · hep-th/9109004

Bosonisation of the Complex-boson realisation of $W_\infty$

X. Shen·X. J. Wang
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Abstract

We bosonise the complex-boson realisations of the $W_\infty$ and $W_{1+\infty}$ algebras. We obtain nonlinear realisations of $W_\infty$ and $W_{1+\infty}$ in terms of a pair of fermions and a real scalar. By further bosonising the fermions, we then obtain realisations of $W_\infty$ in terms of two scalars. Keeping the most non-linear terms in the scalars only, we arrive at two-scalar realisations of classical $w_\infty$.

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X. Shen, X. J. Wang. 1991-09-04. Bosonisation of the Complex-boson realisation of $W_\infty$. https://doi.org/10.1016/0370-2693(92)90712-d

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