Testing swampland conjectures with machine learning
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Regular Article - Theoretical Physics
Testing swampland conjectures with machine learning Nana Cabo Bizet1,a , Cesar Damian2,b , Oscar Loaiza-Brito1,c , Damián Kaloni Mayorga Peña3,d , J. A. Montañez-Barrera2,e 1
Departamento de Física, Universidad de Guanajuato, Loma del Bosque No. 103 Col. Lomas del Campestre, C.P 37150 Leon, Guanajuato, Mexico 2 Departamento de Ingeniería Mecánica, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago Km 3.5 + 1.8 Comunidad de Palo Blanco, Salamanca, Mexico 3 Mandelstam Institute for Theoretical Physics, School of Physics, NITheP, and CoE-MaSS, University of the Witwatersrand, WITS, Johannesburg 2050, South Africa
Received: 8 July 2020 / Accepted: 6 August 2020 / Published online: 24 August 2020 © The Author(s) 2020
Abstract We consider Type IIB compactifications on an isotropic torus T 6 threaded by geometric and non geometric fluxes. For this particular setup we apply supervised machine learning techniques, namely an artificial neural network coupled to a genetic algorithm, in order to obtain more than sixty thousand flux configurations yielding to a scalar potential with at least one critical point. We observe that both stable AdS vacua with large moduli masses and small vacuum energy as well as unstable dS vacua with small tachyonic mass and large energy are absent, in accordance to the refined de Sitter conjecture. Moreover, by considering a hierarchy among fluxes, we observe that perturbative solutions with small values for the vacuum energy and moduli masses are favored, as well as scenarios in which the lightest modulus mass is much smaller than the corresponding AdS vacuum scale. Finally we apply some results on random matrix theory to conclude that the most probable mass spectrum derived from this string setup is that satisfying the Refined de Sitter and AdS scale conjectures.
1 Introduction One of the main aims of string theory is the construction of realistic effective theories with a small cosmological constant Λ within the perturbative regime. Motivated by the recent series of conjectures around the construction of de Sitter (dS) vacua and inflationary conditions [1–8] (see also [9–17]), the a e-mail:
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question about a possible microscopic origin of Λ has lately received an increasing attention [18]. It is then worthwhile to focus on specific flux configurations which can be related to effective models with small energy values at extremal points in moduli space. In this context, one would be tracing back the origin of a small Λ to some well-identified features of flux configurations. This would certainly be very interesting since fluxes drive many important physical phenomena, such as: supersymmetry breakdown, symmetry breaking, axion monodromy inflation and F-term monodromies. As it was observed in [19–22], all these expected and desirable features naturally
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