A note on gauge theories coupled to gravity

Abstract

We analyze the bound on gauge couplings e ≥ m/m p , suggested by Arkani-Hamed et.al. We show this bound can be derived from simple semi-classical considerations and holds in spacetime dimensions greater than or equal to four. Non abelian gauge symmetries seem to satisfy the bound in a trivial manner. We comment on the case of discrete symmetries and close by performing some checks for the bound in higher dimensions in the context of string theory.

The Weak Gravity Conjecture in three dimensions

“…[24,25]). This was made more precise in [26], but the arguments have loopholes and we do not see a clear way to turn them into a formal proof. A promising avenue was opened by [27] (see also [28] and [29]), which studied the WGC in the context of the AdS/CFT correspondence, where it can be translated into a statement about the CFT which can then be verified or disproved.…”

“…If these objects are exactly stable, according to the standard lore, we will have a species problem and trouble with remnants [24,26]. From the point of view of the low-energy effective field theory, each of these black holes will look like a particle of mass M ≤ M 0 , and in a thermal bath at temperature T (such as the one generically present whenever there is a horizon,…”

The Swampland: Introduction and Review

“…We can consider first the problem that the Bekenstein‐Hawking entropy may be violated due to a large uncertainty in the black hole charge. It was briefly argued in [] that this argument still holds in the sense that for small gauge coupling g it becomes increasingly difficult to measure the black hole charge. However, it is not clear how to quantify this.…”

Weak gravity conjecture for effective field theories withNspecies

“…We see that our weak gravity conjecture for λφ 4 theory is equivalent to that for the U(1) gauge theory. For other related works on weak gravity conjecture see [8][9][10][11][12][13][14][15][16][17][18].…”