PreprintarXiv licencearXiv
Hecke Relations from Self-Duality
Abstract
Hecke operators can be used to relate characters of rational conformal field theories with different central charges, but it has remained a mystery how to interpret these relations physically. We offer a simple explanation in terms of self-duality under asymmetric orbifolds. Self-dual orbifolds also give more general identities beyond the familiar Harvey-Wu construction, which we illustrate through examples.
Related
- Quantum super Schur--Weyl duality and character formulas for mirabolic Hecke algebras
- Euler systems for self-dual Hecke characters over biquadratic fields with applications
- Spectral theorem for compact self-adjoint linear relations with an application to elliptic boundary value problems
- Geometric Realizations with Strong Self-Duality Part I: Non-Bipartite Quadrangulations of the Projective Plane and Strongly Involutive Self-Dual Graphs
- Mustafin degenerations of six points in the projective plane and self-duality
BibTeX
@misc{kaidi2026hecke,
title = {{Hecke Relations from Self-Duality}},
author = {Justin Kaidi},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05002},
eprint = {2611.05002},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05002},
}
RIS
TY - UNPB
TI - Hecke Relations from Self-Duality
AU - Justin Kaidi
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05002
UR - https://arxiv.org/abs/2611.05002
AB - Hecke operators can be used to relate characters of rational conformal field theories with different central charges, but it has remained a mystery how to interpret these relations physically. We offer a simple explanation in terms of self-duality under asymmetric orbifolds. Self-dual orbifolds also give more general identities beyond the familiar Harvey-Wu construction, which we illustrate through examples.
ER -