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arXiv · 2503.22293

Conformal Phase Transition in Supersymmetric QCD

Kohei Fujikura·Shota Nakagawa·Yuichiro Nakai·Peng Sun·Yufei Zhang
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Abstract

We construct a four-dimensional supersymmetric QCD in conformal window with a marginally relevant deformation which triggers the spontaneous breaking of (approximate) scale invariance and the subsequent confinement, generating a mass gap, at an energy scale hierarchically smaller than the Planck scale without fine-tuning. We analyze the finite temperature system and show that the phase transition associated with the breaking of conformal invariance is of the strong first order. When such a phase transition takes place at a temperature of the Universe around the electroweak scale, it generates a stochastic gravitational wave (GW) background probed by future space-based interferometers, while a conformal phase transition in a dark sector at $\mathcal{O}(1)$ GeV generates GWs to explain the reported pulsar timing array signal.

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Kohei Fujikura, Shota Nakagawa, Yuichiro Nakai, Peng Sun, Yufei Zhang. 2025-03-28. Conformal Phase Transition in Supersymmetric QCD. https://arxiv.org/abs/2503.22293

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