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

By Yusuke Arike and Kiyokazu Nagatomo


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.Comment: 31 pages, Introduction is revised. Section 2 is entirely rewritten. Section 3 is divided into two section

Topics: Mathematics - Quantum Algebra, Mathematical Physics, 81T40, 17B69
Year: 2011
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