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- W2966337221 abstract "We study modules of the meromorphic open-string vertex algebra (MOSVAs hereafter), a noncommutative generalization of vertex (operator) algebra defined by Yi-Zhi Huang. We start by recalling the definition of a MOSVA V and left V-modules given in Huang’s paper. Then we define right V-modules and V-bimodules that reflect the noncommutative nature of V. When V satisfies a condition on the order of poles of the correlation function (which we call pole-order condition), we prove that the rationality of products of two vertex operators implies the rationality of products of any numbers of vertex operators. Also, the rationality of iterates of any numbers of vertex operators is established and is used to construct the opposite MOSVA Vop of V. It is proved here that right (respectively, left) V-modules are equivalent to left (respectively, right) Vop-modules. Using this equivalence, we prove that if V and a grading-restricted left V-module W are endowed with a Möbius structure, then the graded dual W′ of W is a right V-module. This is the only proof in this paper that needs the grading-restriction condition. Also, this result is generalized to not-grading-restricted modules under a strong pole-order condition that is satisfied by all existing examples of MOSVAs and modules." @default.
- W2966337221 created "2019-08-13" @default.
- W2966337221 creator A5086540102 @default.
- W2966337221 date "2019-03-01" @default.
- W2966337221 modified "2023-09-27" @default.
- W2966337221 title "On modules for meromorphic open-string vertex algebras" @default.
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- W2966337221 doi "https://doi.org/10.1063/1.5046319" @default.
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