A Supernova Constraint on F-theory
Sebastian Vander Ploeg Fallon, James Halverson, Liam McAllister, David J. E. Marsh
arXiv:2606.14575v1 Announce Type: cross
Abstract: We study constraints on the quantum chromodynamics (QCD) axion in F-theory, a strongly coupled limit of string theory. We build models of QCD from compactifications to four dimensions on elliptic fibrations over toric threefolds $B_3$, characterized by an integer $N=h^{1,1}(B_3)$. The QCD axion mass increases with $N$, and we find that models with sufficiently high $N$ are inconsistent with observations of the neutrino burst from supernova 1987A, disfavoring large regions of the moduli space. Specifically, at least $95%$ of models with $N ge 8,791$ — a regime that arguably contains the vast majority of known F-theory topologies — have a QCD axion mass $m_{QCD}>15~meV$ and are thus constrained. This limit is independent of cosmology. We only consider weakly-curved threefolds, where $alpha’$ corrections are plausibly negligible.arXiv:2606.14575v1 Announce Type: cross
Abstract: We study constraints on the quantum chromodynamics (QCD) axion in F-theory, a strongly coupled limit of string theory. We build models of QCD from compactifications to four dimensions on elliptic fibrations over toric threefolds $B_3$, characterized by an integer $N=h^{1,1}(B_3)$. The QCD axion mass increases with $N$, and we find that models with sufficiently high $N$ are inconsistent with observations of the neutrino burst from supernova 1987A, disfavoring large regions of the moduli space. Specifically, at least $95%$ of models with $N ge 8,791$ — a regime that arguably contains the vast majority of known F-theory topologies — have a QCD axion mass $m_{QCD}>15~meV$ and are thus constrained. This limit is independent of cosmology. We only consider weakly-curved threefolds, where $alpha’$ corrections are plausibly negligible.

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