WebChiral algebra. In mathematics, a chiral algebra is an algebraic structure introduced by Beilinson & Drinfeld (2004) as a rigorous version of the rather vague concept of a chiral algebra in physics. In Chiral Algebras, Beilinson and Drinfeld introduced the notion of chiral algebra, which based on the pseudo-tensor category of D-modules. WebNov 5, 2024 · We give a functorial construction of the genus zero chiral algebras of class $\mathcal{S}$, that is, the vertex algebras corresponding to the theory of class …
Chiral algebras of class S. - Durham Research Online
WebJan 31, 2024 · The correspondence between four-dimensional N = 2 superconformal field theories and vertex operator algebras, when applied to theories of class S , leads to a rich family of VOAs that have been given the monicker chiral algebras of class S . A remarkably uniform construction of these vertex operator algebras has been put forward … WebThe VOAs associated to theories of class S were first systematically studied in [5] where they went under the name chiral algebras of class S. In that work, a number of key properties of these... grant-in-aid programs
Chiral algebra, localization, modularity, surface defects, and all …
WebJun 25, 2024 · We interpret aspects of the Schur indices, that were identified with characters of highest weight modules in Virasoro (p, p′) = (2, 2k + 3) minimal models for k = 1, 2, . . . , in terms of paths that first appeared in exact solutions in statistical mechanics. From that, we propose closed-form fermionic sum expressions, that is, q, t-series with manifestly non … WebAug 27, 2014 · In this paper, we explore the chiral algebras that arise in this manner in the context of theories of class S. The class S duality web implies nontrivial associativity properties for the... WebApr 10, 2024 · We use these results to formulate a simple algebraic condition on the defining data of such a model which ensures its 1-loop conformal invariance and the decoupling of its observables into two chiral Poisson algebras, describing the classical left- and right-moving fields of the theory. chip computer ebay