Twisted logarithmic modules of free field algebras
نویسندگان
چکیده
منابع مشابه
Associative algebras for (logarithmic) twisted modules for a vertex operator algebra
We construct two associative algebras from a vertex operator algebra V and a general automorphism g of V . The first, called g-twisted zero-mode algebra, is a subquotient of what we call g-twisted universal enveloping algebra of V . These algebras are generalizations of the corresponding algebras introduced and studied by FrenkelZhu and Nagatomo-Tsuchiya in the (untwisted) case that g is the id...
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The notion of a Weyl module, previously defined for the untwisted affine algebras, is extended here to the twisted affine algebras. We describe an identification of the Weyl modules for the twisted affine algebras with suitably chosen Weyl modules for the untwisted affine algebras. This identification allows us to use known results in the untwisted case to compute the dimensions and characters ...
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In this contribution, I explain the general principles of twisted modules for vertex operator algebras in its powerful formulation using formal series, and derive new general relations satisfied by twisted and non-twisted vertex operators. I prove new “equivalence” and “construction” theorems, identifying a very restricted set of sufficient conditions in order to have a twisted module for a ver...
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A vertex algebra is essentially the same as a chiral algebra in conformal field theory [2, 10]. Vertex algebras arose naturally in the representation theory of infinite-dimensional Lie algebras and in the construction of the “moonshine module” for the Monster finite simple group [3, 9]. If V is a vertex algebra and Γ is a finite group of automorphisms of V , the subalgebra V Γ of Γ-invariant el...
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In this paper, using generating functions we study two categories E and C of modules for twisted affine Lie algebras ĝ[σ], which were firstly introduced and studied in [Li] for untwisted affine Lie algebras. We classify integrable irreducible ĝ[σ]-modules in categories E and C, where E is proved to contain the well known evaluation modules and C to unify highest weight modules, evaluation modul...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2016
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4953249