vertex operator superalgebra
Recently Published Documents


TOTAL DOCUMENTS

11
(FIVE YEARS 0)

H-INDEX

6
(FIVE YEARS 0)

2018 ◽  
Vol 2019 (24) ◽  
pp. 7659-7690 ◽  
Author(s):  
Ryo Sato

Abstract We compute the modular transformation formula of the characters for a certain family of (finitely or uncountably many) simple modules over the simple $\mathcal{N}=2$ vertex operator superalgebra of central charge $c_{p,p^{\prime }}=3\left (1-\frac{2p^{\prime }}{p}\right ),$ where (p, p′) is a pair of coprime positive integers such that p ≥ 2. When p′ = 1, the formula coincides with that of the $\mathcal{N}=2$ unitary minimal series found by F. Ravanini and S.-K. Yang. In addition, we study the properties of the corresponding “modular S-matrix”, which is no longer a matrix if p′≥ 2.


2017 ◽  
Vol 24 (02) ◽  
pp. 315-322
Author(s):  
Chunrui Ai

In this paper, it is proved that for any C2-cofinite, simple, CFT-type vertex operator superalgebra V and a finite solvable group G consisting of automorphisms of V, the fixed point subalgebra VG is a C2-cofinite vertex operator superalgebra.


2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
Alexander Zuevsky

In consideration of the continuous orbifold partition function and a generating function for all n-point correlation functions for the rank two free fermion vertex operator superalgebra on the self-sewing torus, we introduce the twisted version of Frobenius identity.


2015 ◽  
Vol 22 (02) ◽  
pp. 233-250
Author(s):  
Wei Jiang

We study the representations of code vertex operator superalgebras resulting from a binary linear code which contains codewords of odd weight. We also show that there exists only one set of seven mutually orthogonal conformal vectors with central charge 1/2 in the Hamming code vertex operator superalgebra [Formula: see text]. Furthermore, we classify all the irreducible weak [Formula: see text]-modules.


2014 ◽  
Vol 25 (02) ◽  
pp. 1450018 ◽  
Author(s):  
KATRINA BARRON ◽  
NATHAN VANDER WERF

We construct and classify (1 2 ⋯ k)-twisted V⊗k-modules for k even and V a vertex operator superalgebra. In particular, we show that the category of weak (1 2 ⋯ k)-twisted V⊗k-modules for k even is isomorphic to the category of weak parity-twisted V-modules. This result shows that in the case of a cyclic permutation of even order, the construction and classification of permutation-twisted modules for tensor product vertex operator superalgebras are fundamentally different than in the case of a cyclic permutation of odd order, as previously constructed and classified by the first author. In particular, in the even order case it is the parity-twisted V-modules that play the significant role in place of the untwisted V-modules that play the significant role in the odd order case.


2006 ◽  
Vol 08 (01) ◽  
pp. 101-121 ◽  
Author(s):  
CHONGYING DONG ◽  
ZHONGPING ZHAO

This paper gives an analogue of Ag(V) theory for a vertex operator superalgebra V and an automorphism g of finite order. The relation between the g-twisted V-modules and Ag(V)-modules is established. It is proved that if V is g-rational, then Ag(V) is finite-dimensional semi-simple associative algebra and there are only finitely many irreducible g-twisted V-modules.


2003 ◽  
Vol 05 (04) ◽  
pp. 481-567 ◽  
Author(s):  
Katrina Barron

We introduce the notion of N=1supergeometric vertex operator superalgebra motivated by the geometry underlying genus-zero, two-dimensional, holomorphic N=1 superconformal field theory. We then show, assuming the convergence of certain projective factors, that the category of such objects is isomorphic to the category of N=1 Neveu–Schwarz vertex operator superalgebras.


Sign in / Sign up

Export Citation Format

Share Document