PreprintCC BY 4.0arXiv
Topological Modular Forms Constrain Threshold States in Extremal š¯’©=1 AdS3 Gravity
Abstract
We identify a topological constraint on extremal š¯’©=1 AdS3 spectra that is not implied by genus-one modular covariance of the three even spin structure partition functions. Assuming the expected topological modular forms divisibility of the Ramond Witten index, we show that for infinitely many odd n at central charge c=12n, an extremal holomorphic š¯’©=1 superconformal field theory requires an odd number of Neveu--Schwarz primaries at the BTZ threshold. Thus the strict ansatz with no threshold primaries is excluded for this infinite family.
Related
- Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity
- Stationary scalar clouds, quasinormal ringing, and observational signatures of (near-)extremal rotating Kalbā€“Ramond black holes: from the superradiant threshold to EHT bounds
- Massive-scalar threshold phase structure of the spin-two propagator in quadratic gravity
- Horizon structure and extremal configurations of Kerr-Newman-anti-de Sitter black holes in f(R) gravity
- Threshold-Free Symmetry-Enriched Topological Quantum Memory
BibTeX
@misc{yoshida2026topological,
title = {{Topological Modular Forms Constrain Threshold States in Extremal $\mathcalN=1$ AdS$_3$ Gravity}},
author = {Yutaka Yoshida},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17359},
eprint = {2609.17359},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17359},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Topological Modular Forms Constrain Threshold States in Extremal š¯’©=1 AdS_3 Gravity
AU - Yutaka Yoshida
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17359
UR - https://arxiv.org/abs/2609.17359
AB - We identify a topological constraint on extremal š¯’©=1 AdS_3 spectra that is not implied by genus-one modular covariance of the three even spin structure partition functions. Assuming the expected topological modular forms divisibility of the Ramond Witten index, we show that for infinitely many odd n at central charge c=12n, an extremal holomorphic š¯’©=1 superconformal field theory requires an odd number of Neveu--Schwarz primaries at the BTZ threshold. Thus the strict ansatz with no threshold primaries is excluded for this infinite family.
ER -