Gluing vertex algebras
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.108174
Abstract: We relate commutative algebras in braided tensor categories to braid-reversed tensor equivalences, motivated by vertex algebra representation theory. First, for C a braided tensor category, we give a detailed account of the canonical algebra construction… read more here.
Keywords: algebra; vertex; braid reversed; vertex algebras ... See more keywords
Lattices, vertex algebras, and modular categories
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.01.008
Abstract: Abstract In this note we give an account of recent progress on the construction of holomorphic vertex algebras as cyclic orbifolds as well as related topics in lattices and modular categories. We present a novel… read more here.
Keywords: lattices vertex; modular categories; vertex algebras; geometry ... See more keywords
h-adic quantum vertex algebras in types B, C, D and their ϕ-coordinated modules
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac333b
Abstract: We introduce the h-adic quantum vertex algebras associated with the trigonometric R-matrices in types B, C and D, thus generalizing the well-known Etingof–Kazhdan construction in type A. We show that restricted modules for quantum affine… read more here.
Keywords: adic quantum; algebras types; vertex algebras; types coordinated ... See more keywords
Twisted logarithmic modules of lattice vertex algebras
Sign Up to like & getrecommendations! Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7703
Abstract: Twisted modules over vertex algebras formalize the relations among twisted vertex operators and have applications to conformal field theory and representation theory. A recent generalization, called twisted logarithmic module, involves the logarithm of the formal… read more here.
Keywords: lattice vertex; modules lattice; logarithmic modules; vertex algebras ... See more keywords