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PreprintarXiv licencearXiv

CFT characters from localization

  • Lorenz Eberhardt
  • Duarte Fragoso
  • Hessel Posthuma
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Abstract

We explain a general procedure to compute characters of chiral algebras of 2d (S)CFTs geometrically from their coadjoint orbits, in analogy with the coadjoint orbit method for finite-dimensional Lie groups. We demonstrate that this method can be used to give concise rederivations of the characters of the Virasoro algebra, Kac-Moody algebras, as well as supersymmetric generalizations.

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Cite

BibTeXRIS
BibTeX
@misc{eberhardt2026characters,
  title = {{CFT characters from localization}},
  author = {Lorenz Eberhardt and Duarte Fragoso and Hessel Posthuma},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05211},
  eprint = {2609.05211},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05211},
}
RIS
TY  - UNPB
TI  - CFT characters from localization
AU  - Lorenz Eberhardt
AU  - Duarte Fragoso
AU  - Hessel Posthuma
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05211
UR  - https://arxiv.org/abs/2609.05211
AB  - We explain a general procedure to compute characters of chiral algebras of 2d (S)CFTs geometrically from their coadjoint orbits, in analogy with the coadjoint orbit method for finite-dimensional Lie groups. We demonstrate that this method can be used to give concise rederivations of the characters of the Virasoro algebra, Kac-Moody algebras, as well as supersymmetric generalizations.
ER  -