Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wakimoto construction in the principal gradation   It is well known that the bosonized version of the Wakimoto construction
allows the explicit realization of any affine algebra $\widehat{g}$, with
arbitrary level $k$ in the homogeneous gradation, in terms of $dim(g)$ free
bosonic fields. In this paper, we show in the case of the simplest affine
algebra $\widehat{sl(2)}$, that the bosonized Wakimoto realization can be
extended to the principal gradation only when $k$ is equal to the critical
level, i.e., -2. In this case, this construction can be achieved in terms of
arbitrary number (larger than 1) of free bosonic fields.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: econ