Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the BRST Operator of $W$-Strings   We discuss the conditions under which the BRST operator of a $W$-string can
be written as the sum of two operators that are separately nilpotent and
anticommute with each other. We illustrate our results with the example of the
non-critical $W_3$-string. Furthermore, we apply our results to make a
conjecture about a relationship between the spectrum of a non-critical
$W_n$-string and a $W_{n-1}$-string.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat