The Spectrum of Permutation Orbifolds
Christoph A. Keller, Beatrix J. M\"uhlmann

TL;DR
This paper investigates the spectrum of permutation orbifolds in 2D conformal field theories, revealing cases with faster-than-Hagedorn growth and providing methods to compute their partition functions.
Contribution
It introduces a new approach to analyze permutation orbifolds, including cases with unconventional spectral growth, and generalizes Hecke operators for partition function calculations.
Findings
Identified permutation orbifolds with super-Hagedorn spectrum growth
Developed a generalized method for computing partition functions
Provided examples contrasting known symmetric orbifold behavior
Abstract
We study the spectrum of permutation orbifolds of 2d CFTs. We find examples where the light spectrum grows faster than Hagedorn, which is different from known cases such as symmetric orbifolds. We also describe how to compute their partition functions using a generalization of Hecke operators.
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