Year: 2026
Type: article
Abstract: A bstract We consider 4d $$ \mathcal{N}=1 $$ N = 1 supergravity theories with modular symmetry, where the modulus τ is the upper half-plane modulo SL(2 , Z ) action. We focus on enhanced discrete gauge symmetry points τ = i, exp(2 πi/ 3), and argue that, if there are no new additional massless fields at these points, they will always be critical points of the scalar potential. Moreover, we show that whether these correspond to dS, AdS, or Minkowski vacua can be generically determined simply by the weight of the superpotential under modular transformations. We also analyze the asymptotics of the scalar potential and find that compatibility with the Swampland principles implies that, if nonvanishing, the scalar potential decays either exponentially or double-exponentially, and that the asymptotic slope is bounded. The slope is governed by the superpotential weight as well as by real-analytic modular contributions to the Kähler potential.
Source: Journal of High Energy Physics
Authors: Amineh Mohseni, Cumrun Vafa
Institution: Harvard University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G1282169449
OpenAlex ID: W4416617033