The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
نویسندگان
چکیده
منابع مشابه
Local Systems of Twisted Vertex Operators, Vertex Operator Superalgebras and Twisted Modules
We introduce the notion of “local system of ZT -twisted vertex operators” on a Z2-graded vector space M , generalizing the notion of local system of vertex operators [Li]. First, we prove that any local system of ZT -twisted vertex operators on M has a vertex superalgebra structure with an automorphism σ of order T with M as a σ-twisted module. Then we prove that for a vertex (operator) superal...
متن کاملOn Z2-twisted representation of vertex operator superalgebras and the Ising model SVOA
We investigate a general theory of the Z2-twisted representations of vertex operator superalgebras. Certain one-to-one correspondence theorems are established. We also give an explicit realization of the Ising model SVOA and its Z2-twisted modules. As an application, we obtain the Gerald Höhn’s Babymonster SVOA VB♮ and its Z2-twisted module VB ♮ tw from the moonshine VOA V ♮ by cutting off the ...
متن کاملA supergeometric interpretation of vertex operator superalgebras
Conformal field theory (or more specifically, string theory) and related theories (cf. [BPZ], [FS], [V], and [S]) are the most promising attempts at developing a physical theory that combines all fundamental interactions of particles, including gravity. The geometry of this theory extends the use of Feynman diagrams, describing the interactions of point particles whose propagation in time sweep...
متن کاملTwisted modules for vertex operator algebras
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...
متن کاملTwisted Representations of Vertex Operator Algebras
Let V be a vertex operator algebra and g an automorphism of finite order. We construct an associative algebra Ag(V ) and a pair of functors between the category of Ag(V )-modules and a certain category of admissible g-twisted V -modules. In particular, these functors exhibit a bijection between the simple modules in each category. We give various applications, including the fact that the comple...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2008
ISSN: 1815-0659
DOI: 10.3842/sigma.2008.087