The super Frobenius-Schur indicator and finite group gauge theories on pin$^-$ surfaces

12 Mar 2020 Ichikawa Takumi Tachikawa Yuji

It is well-known that the value of the Frobenius-Schur indicator $|G|^{-1} \sum_{g\in G} \chi(g^2)=\pm1$ of a real irreducible representation of a finite group $G$ determines which of the two types of real representations it belongs to, i.e. whether it is strictly real or quaternionic. We study the extension to the case when a homomorphism $\varphi:G\to \mathbb{Z}/2\mathbb{Z}$ gives the group algebra $\mathbb{C}[G]$ the structure of a superalgebra... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • REPRESENTATION THEORY
  • STRONGLY CORRELATED ELECTRONS
  • HIGH ENERGY PHYSICS - THEORY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS