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PreprintCC BY-NC-ND 4.0arXiv

Exact effective central charges for a family of 3d superconformal field theories

  • Griffen Adams
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Abstract

We conjecture an exact formula for the effective central charge, ceff, of a family of three- dimensional superconformal field theories related to Chern-Simons theory on a three-manifold by the 3d-3d correspondence. The formula determines ceff , which governs the growth of a protected sector of states in the conformal theory, in terms of the dimension of a particular space of modular forms. We confirm our approach by checking against known results computed through resurgent continuation.

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Cite

BibTeXRIS
BibTeX
@misc{adams2026exact,
  title = {{Exact effective central charges for a family of 3d superconformal field theories}},
  author = {Griffen Adams},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03950},
  eprint = {2610.03950},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03950},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Exact effective central charges for a family of 3d superconformal field theories
AU  - Griffen Adams
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03950
UR  - https://arxiv.org/abs/2610.03950
AB  - We conjecture an exact formula for the effective central charge, ceff, of a family of three- dimensional superconformal field theories related to Chern-Simons theory on a three-manifold by the 3d-3d correspondence. The formula determines ceff , which governs the growth of a protected sector of states in the conformal theory, in terms of the dimension of a particular space of modular forms. We confirm our approach by checking against known results computed through resurgent continuation.
ER  -