BRST Reduction of the chiral Hecke Algebra

幂零手性Hecke代数

L'Algèbre de Hecke chirale nilpotente

该研究将手性Hecke代数推广至幂零轨道，通过等型分量分析，在非容许整数水平上构造了简单仿射顶点代数的新模及融合方式。

BMS类代数：典范实现与BRST量子化

BMS-like algebras: canonical realisations and BRST quantisation

本文推广三维BMS代数至任意参数λ，给出Weyl λ-BMS代数的辛实现，构造其中心扩张及BRST复形，并证明上同调与N=2超共形手征环同构，同时指出共形推广需W-代数且其无BRST复形。

Generalized Moonshine I: Genus zero functions

We introduce a notion of Hecke-monicity for functions on certain moduli spaces associated to torsors of finite groups over elliptic curves, and show that it implies strong invariance properties under linear fractional transformations. Specifically, if a weakly Hecke-monic function has algebraic integer coefficients and a pole at infinity, then it is either a holomorphic genus-zero function invariant under a congruence group or of a certain degenerate type. As a special case, we prove the same conclusion for replicable functions of finite order, which were introduced by Conway and Norton in the…

来自等变W代数的陪集

Cosets from equivariant W-algebras

本研究构造了一族顶点代数A[𝔤,κ,n]，作为单李代数等变W代数与朗兰兹对偶李代数可积仿射顶点代数张量积的子代数，证明其为仿射顶点代数与主W代数张量积的共形扩张，且水平满足特定关系。