國立臺南大學教師基本資料

基本資料
姓名 陳憲揚
系所 應用數學系
職稱 助理教授
校內分機 588
傳真
辦公室/研究室 C504
E-mail hychen@mail.nutn.edu.tw
網址
專長/研究領域 頂點算子代數 Vertex Operator Algebra
 

畢業學校國別主修學門學位修業期間
University of Illinois at Urbana-ChampaignUSMath博士2002~2010

服務機關部門 / 系所職稱服務期間
中央研究院數學所博士後研究2010/8~2015/7

著作
名稱Coset construction of $ \mathbb{Z}/3$ orbifold vertex operator algebra $ V^ \tau_{ \sqrt{2}A_2}$
年度2013
類別期刊論文
摘要In this paper, we give a coset construction of the orbifold VOA V√ τ , where τ is an 2A_2 order three automorphism of V√2A2 . The main idea is to use conjugations of several automorphisms of the lattice VOA VE6 , which in some sense are analogous to Frenkel–Lepowsky–Meurman’s triality map. As a consequence, we construct explicitly many intertwining operators among modules of twisted type and obtain lower bounds for their fusion rules.
關鍵字vertex operator algebra, coset construction
名稱An explicit Majorana representation of the group$3^2{:}2$ of 3C-pure type
年度2014
類別期刊論文
摘要We study a coset vertex operator algebra (VOA) W in the lattice VOA VE_^38. We show that the coset VOA W is generated by nine Ising vectors such that any two Ising vectors generate a 3C subVOA U3C , and the group generated by the corresponding Miyamoto involutions has shape 3^2 :2. This gives an explicit example for Majorana representations of the group 3^2 :2 of 3C-pure type.
關鍵字Ising vectors, Majorana representation
名稱Weyl groups and vertex operator algebras generated by Ising vectors satisfying (2B,3C) condition
年度2014
類別期刊論文
摘要In this paper, we construct explicitly certain moonshine type vertex operator algebras generated by a set of Ising vectors I such that (1) for any e f ∈ I, the subVOA VOA(e, f ) generated by e and f is isomorphic to either U2B or U3C ; and (2) the subgroup generated by the corresponding Miyamoto involutions {τe | e ∈ I} is isomorphic to the Weyl group of a root system of type An , Dn , E6 , E7 or E8 . The structures of the corresponding vertex operator algebras and their Griess alge- bras are also studied. In particular, the central charge of these vertex operator algebras are determined.
關鍵字Ising vectors, Weyl group
名稱Fusion rules among irreducible $V_{\sqrt {2}A_2}^\tau $-modules of twisted type,
年度2015
類別期刊論文
摘要In this article, we first compute the quantum dimensions of irreducible Vτ√2A2 -modules. These quantum dimensions give upper bounds on fusion rules among irreducible Vτ√2A2 -modules. Together with the lower bounds obtained by Lam and the author, we determine explicitly fusion rules among all irreducible Vτ√2A2 -modules of twisted type. This work completes the program for determining the fusion rules among irreducible Vτ√2A2 -modules.
關鍵字Fusion rules, Quantum dimension
名稱Quantum dimensions and fusion rules of the VOA $V^τ_{L_{C×D}}$,
年度2016
類別期刊論文
摘要
關鍵字vertex operator algebra, quantum dimension