Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions
Quantum Algebra
2011-11-01 v3 Mathematical Physics
math.MP
Abstract
We give a method to construct pseudo-trace functions for vertex operator algebras satisfying Zhu's finiteness condition not through higher Zhu's algebras and apply our method to the Z_2-orbifold model associated with d-pairs of symplectic fermions. For d=1, we determine the dimension of the space of one-point functions. For d>1, we construct 2^{2d-1}+3 linearly independent one-point functions and study their values at the vacuum vector.
Keywords
Cite
@article{arxiv.1104.0068,
title = {Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions},
author = {Yusuke Arike and Kiyokazu Nagatomo},
journal= {arXiv preprint arXiv:1104.0068},
year = {2011}
}
Comments
31 pages, Introduction is revised. Section 2 is entirely rewritten. Section 3 is divided into two sections