Spectral flow, twisted modules and MLDE of quasi-lisse vertex algebras

2023/04/19 by Bohan Li, Hao Li, Li, Bohan +3
Mathematics · #Algebraic structures and combinatorial models #Advanced Operator Algebra Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2304.09681

Abstract

We calculate the fusion rules among ℤ₂-twisted modules L_\mathfraksl₂(ℓ,0) at admissible levels. We derive a series MLDEs for normalized characters of ordinary twisted modules of quasi-lisse vertex algebras. Examples include affine VOAs of type A₁⁽¹⁾ at boundary admissible level, admissible level k=-1/2, A⁽¹⁾₂ at boundary admissible level k=-3/2, and BP^k-algebra with special value k=-9/4. We also derive characters of some non-vacuum modules for affine VOA of type D₄ at non-admissible level -2 from spectral flow automorphism.

Related

• Quasi-lisse vertex algebras and modular linear differential equations
• Vertex algebraic construction of modules for twisted affine Lie algebras of type A_2l⁽²⁾
• A_2l⁽²⁾ at level -l-(1)/(2)
• Vertex algebras and TKK algebras
• Vertex algebras related to regular representations of SL₂