Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures
Dibya Chakraborty,
Cesar Damian,
Alberto González Bernal,
Oscar Loaiza-Brito
Affiliations
Dibya Chakraborty
Departamento de Física, Universidad de Guanajuato, Loma del Bosque No. 103 Col. Lomas del Campestre C.P 37150 Leon, Guanajuato 36050, Mexico
Cesar Damian
Departamento de Ingeniería Mecánica, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago Km 3.5 + 1.8 Comunidad de Palo Blanco, Salamanca 36885, Mexico
Alberto González Bernal
Departamento de Física, Universidad de Guanajuato, Loma del Bosque No. 103 Col. Lomas del Campestre C.P 37150 Leon, Guanajuato 36050, Mexico
Oscar Loaiza-Brito
Departamento de Física, Universidad de Guanajuato, Loma del Bosque No. 103 Col. Lomas del Campestre C.P 37150 Leon, Guanajuato 36050, Mexico
We present a proposal to relate the de Sitter conjecture (dSC) with the time dependence of fluxes via the covariant entropy bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from time-dependent flux compactification to the four-dimensional entropy which establishes a bound on the usual slow-roll parameters ηH and ϵH. We also show an explicit calculation of entropy from a toroidal flux compactification, from a transition amplitude of time-dependent fluxes which allows us to determine the conditions on which the bounds on the slow-roll parameters are in agreement to the dSC.
