Asymptotic Safety: Swampland or Wonderland?

Abstract

We investigate the consequences of combining swampland conjectures with the requirement of asymptotic safety. To this end, we explore the infrared regime of asymptotically safe gravity in the quadratic one-loop approximation, and we identify the hypersurface spanned by the endpoints of asymptotically safe renormalization group trajectories. These comprise the allowed values of higher-derivative couplings as well as standard logarithmic form factors. We determine the intersection of this hypersurface with the regions of parameter space allowed by the weak-gravity conjecture, the swampland de Sitter conjecture, and the trans-Planckian censorship conjecture. The latter two depend on some order-one constants, for generic values of which we show that the overlap region is a proper subspace of the asymptotically safe hypersurface. Moreover, the latter lies inside the region allowed by the weak gravity conjecture assuming electromagnetic duality. Our results suggest a non-trivial interplay between the consistency conditions stemming from ultraviolet completeness of the RG flow, black hole physics, and cosmology.

Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory

“…For the regions I, II where the approximation is valid, however, because u(1 + u) > 0 the contribution of this term is negative and deepens the AdS vacuum. 10 The mixing term of perturbative and non-perturbative corrections is a complicated function and can be elaborated in a similar manner. (63)…”

“…For the recent debate on Swampland conjectures see for example [1][2][3] and related reviews [4][5][6]. Also, an incomplete list of 10d supergravity dS solutions and other related issues is [7][8][9][10][11][12] 4 For recent developments on related work see [15][16][17][18][19][20][21] the cosmological inflation have been studied. It was found that hybrid inflation is successfully implemented with the internal volume modulus acting as the inflaton [28], and the rôle of the waterfall field is played by open string excitations associated with the D7 brane stacks [29].…”