Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generators, spanning sets and existence of twisted modules for a
  grading-restricted vertex (super)algebra   For a grading-restricted vertex superalgebra $V$ and an automorphism $g$ of
$V$, we give a linearly independent set of generators of the universal
lower-bounded generalized $g$-twisted $V$-module $\widehat{M}^{[g]}_{B}$
constructed by the author in \cite{H-const-twisted-mod}. We prove that there
exist irreducible lower-bounded generalized $g$-twisted $V$-modules by showing
that there exists a maximal proper submodule of $\widehat{M}^{[g]}_{B}$ for a
one-dimensional space $M$. We then give several spanning sets of
$\widehat{M}^{[g]}_{B}$ and discuss the relations among elements of the
spanning sets. Assuming that $V$ is a M\"{o}bius vertex superalgebra (to make
sure that lowest weights make sense) and that $P(V)$ (the set of all numbers of
the form $\Re(\alpha)\in [0, 1)$ for $\alpha\in \C$ such that $e^{2\pi i
\alpha}$ is an eigenvalue of $g$) has no accumulation point in $\R$ (to make
sure that irreducible lower-bounded generalized $g$-twisted $V$-modules have
lowest weights). Under suitable additional conditions, which hold when
  the twisted zero-mode algebra or the twisted Zhu's algebra is finite
dimensional, we prove that there exists an irreducible grading-restricted
generalized $g$-twisted $V$-module, which is in fact an irreducible ordinary
$g$-twisted $V$-module when $g$ is of finite order. We also prove that every
lower-bounded generalized module with an action of $g$ for the fixed-point
subalgebra $V^{g}$ of $V$ under $g$ can be extended to a lower-bounded
generalized $g$-twisted $V$-module.

18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org