Enumerating 6D supergravities with $T\leq 1$
Yuta Hamada, Gregory J. Loges

TL;DR
This paper develops a systematic algorithm to enumerate all anomaly-free 6D supergravity models with at most one tensor multiplet, providing a complete list under certain gauge group restrictions and analyzing their consistency with quantum gravity.
Contribution
It introduces a novel algorithm using multi-hypergraphs and simplicial complexes to exhaustively classify anomaly-free 6D supergravity models with T ≤ 1.
Findings
Complete list of anomaly-free models for T ≤ 1
No models for T=0 are ruled out by quantum gravity constraints
Approximately 50% of models for T=1 are inconsistent with quantum gravity
Abstract
The space of 6D supergravities with minimal supersymmetry is greatly constrained by anomaly cancellation. Nevertheless, a large number of models satisfy all low-energy consistency conditions and in this work we make progress towards exhaustively enumerating all anomaly-free models with at most one tensor multiplet. Generalizing previous techniques, we describe a general algorithm using multi-hypergraphs and simplicial complexes to systematically enumerate anomaly-free models with gauge groups of any number of simple factors and with hypermultiplets falling into any representations. Using these new ideas, we obtain a \emph{complete} list of anomaly-free models for , the only simplifying assumption being that the gauge group contains no , , or factors. We also study how many/which models in…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Particle physics theoretical and experimental studies
