Characters Induced from Sylow Subgroups

Riese, Udo; Schmid, Peter

doi:10.1006/jabr.1998.7480

Cited by 3 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…So it seems that the 3 • 2 λ−i type representations are 2-induced. Usually it is hard to decide whether a restricted or induced representation is irreducible or not in general, but in this case we have the following theorem [63], which in our notation says Theorem A.2. Given a prime p dividing |G|, an irreducible V is p-induced iff |G|/ dim V = p r for some positive integer r.…”

Section: Jhep02(2023)079mentioning

confidence: 99%

On classification of fermionic rational conformal field theories

Duan

Lee

et al. 2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We systematically study how the integrality of the conformal characters shapes the space of fermionic rational conformal field theories in two dimensions. The integrality suggests that conformal characters on torus with a given choice of spin structures should be invariant under a principal congruence subgroup of PSL(2, ℤ). The invariance strongly constrains the possible values of the central charge as well as the conformal weights in both Neveu-Schwarz and Ramond sectors, which improves the conventional holomorphic modular bootstrap method in a significant manner. This allows us to make much progress on the classification of fermionic rational conformal field theories with the number of independent characters less than five.

show abstract

Section: Jhep02(2023)079mentioning

confidence: 99%