Six and seven dimensional extrema of Non-SUSY heterotic theory with non-maximal enhancements
Abstract
We propose a construction of non-supersymmetric heterotic theories on Tn for n=1,2,3,4 which lead to extrema of the one-loop effective potential. In contrast to other approaches, we do not impose maximal gauge enhancement, instead relying on Weyl symmetries of the right-moving part of the momentum lattice to ensure that we get an extremum. The classification depends on finding all lattices within a given genus using Kneser's method. We find several thousand extrema, most of which have non-maximal rank gauge enhancements. Several hundred of our extrema are tachyon-free, and several dozen are also not knife edges. There may be further equivalences among these points, but we find at least 2, 11, and 38 distinct tachyon-free non-knife-edge points for T2, T3, and T4, respectively. In addition, we build on our previous work to study the perturbative stability of AdS3× S3× T4 backgrounds by checking for Breitenlohner-Freedman (BF) bound violations at the tachyon-free non-knife-edge extrema that we found. The lowest eigenvalues of the Hessian at all such extrema that have a positive one loop potential show violations of the BF bound and satisfy the refined de Sitter conjecture.
Related
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BibTeX
@misc{muller2026seven,
title = {{Six and seven dimensional extrema of Non-SUSY heterotic theory with non-maximal enhancements}},
author = {Stevell Muller and Daniel Robbins and Hassaan Saleem},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31750},
eprint = {2610.31750},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31750},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Six and seven dimensional extrema of Non-SUSY heterotic theory with non-maximal enhancements
AU - Stevell Muller
AU - Daniel Robbins
AU - Hassaan Saleem
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.31750
UR - https://arxiv.org/abs/2610.31750
AB - We propose a construction of non-supersymmetric heterotic theories on T^n for n=1,2,3,4 which lead to extrema of the one-loop effective potential. In contrast to other approaches, we do not impose maximal gauge enhancement, instead relying on Weyl symmetries of the right-moving part of the momentum lattice to ensure that we get an extremum. The classification depends on finding all lattices within a given genus using Kneser's method. We find several thousand extrema, most of which have non-maximal rank gauge enhancements. Several hundred of our extrema are tachyon-free, and several dozen are also not knife edges. There may be further equivalences among these points, but we find at least 2, 11, and 38 distinct tachyon-free non-knife-edge points for T^2, T^3, and T^4, respectively. In addition, we build on our previous work to study the perturbative stability of AdS_3× S^3× T^4 backgrounds by checking for Breitenlohner-Freedman (BF) bound violations at the tachyon-free non-knife-edge extrema that we found. The lowest eigenvalues of the Hessian at all such extrema that have a positive one loop potential show violations of the BF bound and satisfy the refined de Sitter conjecture.
ER -