Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
Abstract
Motivated by recent proposals relating non-supersymmetric Type 0A theory to M-theory compactified on a singular wedge geometry, we study an M-theory compactification on a seven-manifold with G_2 structure, realized as a deformed K3 fibration over a compact three-manifold. In the Morrison--Vafa limit, the deformed K3 may be described locally as a non-trivial torus fibration over a base that is itself a pinched circle fibered over an interval. Once the doubled-spectrum decomposition and the local pinched structure are specified, we show that the G_2 torsion classes provide a natural and efficient way to characterize both the torsion of the seven-manifold and the resulting supersymmetry breaking in four dimensions. Reducing the system to ten dimensions in two inequivalent ways leads respectively to Type 0A and Type 0 heterotic theories compactified on two different non-Kahler manifolds, for which the SU(3) torsion classes furnish the appropriate mathematical description. In particular, we argue that the pinching deformation lies in the 27 of G_2, and that under the two reductions it is distributed differently into the W_2 and W_3 torsion classes of the corresponding SU(3) structures. In the supersymmetric limit, and under suitable assumptions, the two resulting theories may become U-dual to one another. Away from that limit, however, we argue that any such duality should be treated with considerable caution.
Related
- Vacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge Theories
- Quantum Elliptic Cohomology From Four-Dimensional Minimal Supersymmetric Gauge Theories
- Perturbative Holonomy Potentials and Vacua in Chiral Supersymmetric Gauge Theories
- Torsion Theories in a non-pointed Context II: iterated torsion theories
- Mumford--Morita--Miller classes in generalised cohomology theories
BibTeX
@misc{dasgupta2026towards,
title = {{Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes}},
author = {Keshav Dasgupta and Radu Tatar},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.05333},
eprint = {2605.05333},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.05333},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
AU - Keshav Dasgupta
AU - Radu Tatar
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2605.05333
UR - https://arxiv.org/abs/2605.05333
AB - Motivated by recent proposals relating non-supersymmetric Type 0A theory to M-theory compactified on a singular wedge geometry, we study an M-theory compactification on a seven-manifold with G_2 structure, realized as a deformed K3 fibration over a compact three-manifold. In the Morrison--Vafa limit, the deformed K3 may be described locally as a non-trivial torus fibration over a base that is itself a pinched circle fibered over an interval. Once the doubled-spectrum decomposition and the local pinched structure are specified, we show that the G_2 torsion classes provide a natural and efficient way to characterize both the torsion of the seven-manifold and the resulting supersymmetry breaking in four dimensions. Reducing the system to ten dimensions in two inequivalent ways leads respectively to Type 0A and Type 0 heterotic theories compactified on two different non-Kahler manifolds, for which the SU(3) torsion classes furnish the appropriate mathematical description. In particular, we argue that the pinching deformation lies in the 27 of G_2, and that under the two reductions it is distributed differently into the W_2 and W_3 torsion classes of the corresponding SU(3) structures. In the supersymmetric limit, and under suitable assumptions, the two resulting theories may become U-dual to one another. Away from that limit, however, we argue that any such duality should be treated with considerable caution.
ER -