Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant Hermitian forms on vertex algebras   We study invariant Hermitian forms on a conformal vertex algebra and on their
(twisted) modules. We establish existence of a non-zero invariant Hermitian
form on an arbitrary $W$-algebra. We show that for a minimal simple $W$-algebra
$W_k(\mathfrak g,\theta/2)$ this form can be unitary only when its
$\tfrac{1}{2}\mathbb Z$-grading is compatible with parity, unless
$W_k(\mathfrak g,\theta/2)$ "collapses" to its affine subalgebra.

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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: physics
9
The categories of this paper are: nlin
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess