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

2011/04/01 by Arike, Yusuke, Nagatomo, Kiyokazu · 1 citation
#17B69 #81T40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1104.0068

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 Z₂-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.

Cited by

• Pseudotraces on Almost Unital and Finite-Dimensional Algebras

Related

• On Zhu's algebra and C₂--algebra for symplectic fermion vertex\n algebra SF(d)⁺
• A Z₂-orbifold model of the symplectic fermionic vertex operator superalgebra
• 1-Point Functions for ℤ₂-orbifolds of Lattice VOAs
• Vertex Operator Superalgebras and Odd Trace Functions
• From Free-Fermionic Constructions to Orbifolds and Back