Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions

preprint2011arXivOpen access

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.

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