AdS and the Swampland

Self Cite

909

1,097

The Swampland program aims to distinguish effective theories which can be completed into quantum gravity in the ultraviolet from those which cannot. This article forms an introduction to the field, assuming only a knowledge of quantum field theory and general relativity. It also forms a comprehensive review, covering the range of ideas that are part of the field, from the Weak Gravity Conjecture, through compactifications of String Theory, to the de Sitter conjecture.

“…Then we have

\partial_{ϕ} (m^{2}) = 2 m \partial_{ϕ} m = 2 m_{0} μ .

Evaluating this in the vacuum we see that the interaction strength μ is just the derivative of the mass term for h evaluated in the vacuum

μ = 〈\partial_{ϕ} m〉 .

{ϕ false| h false|}^{2}

gives rise to a long‐range Coulomb attractive self‐force for h mediated as an exchange of ϕ.…”

Section: Charting the Swamplandmentioning

confidence: 99%

“…Another motivating argument for comes from classical dimensional reduction . Consider, for example, a 5‐dimensional theory

\begin{matrix} true \\ right S_{5 D} & = & left \int_{M_{4} \times S^{1}} d^{5} X \sqrt{- G} true[\frac{1}{2} R^{false(5 false)} - \frac{1}{4 g_{5}^{2}} F_{M N} F^{M N} \\ left - D_{M} H {((), D^{M}, H)}^{*} - M_{H}^{2} H H^{*} true] . \end{matrix}

The 5‐dimensional gauge field is

A^{M}

, with gauge coupling g 5 , There is a charged scalar H , with charge q and mass

M_{H}

, which acts as the Weak Gravity Conjecture particle and so satisfies

g_{5} q \geq \sqrt{\frac{2}{3}} M_{H} .

If we reduce this theory on a circle, then we get an effective 4‐dimensional action for the zero modes

\begin{matrix} true \\ right S_{4 D}^{0} & = & left \int_{M_{4}} d^{4} x \sqrt{- g} true[\frac{1}{2} R + I_{I J} F_{μ ν}^{I} F^{J, μ ν} \\ left - \frac{1}{2} {((), \partial, φ)}^{2} - \frac{1}{2 r^{2} g_{5}^{2}} {((), \partial, a)}^{2} - {(||, D, h)}^{2} - m^{2} h^{*} h true] . \end{matrix}

The 4‐dimensional fields are the dilaton φ, an axion a , a complex scalar h , the graviphoton

A_{0}^{μ}

, and the zero mode of the gauge field

A_{1}^{μ}

.…”

Section: Charting the Swamplandmentioning

confidence: 99%

“…Then it is not clear how should be generalized. One proposal was made in []. The idea is to apply the bound states argument for a Yukawa type force for the scalar.…”

Section: Charting the Swamplandmentioning

confidence: 99%

\frac{1}{2} {(\partial ϕ)}^{2}

, we may write as

2 (g^{2} - μ^{2}) M_{p}^{2} \equiv β^{2} M_{p}^{2} \geq m^{2},

with μ defined as in .…”

Section: Charting the Swamplandmentioning

confidence: 99%

See 2 more Smart Citations

The Swampland: Introduction and Review

Palti

2019

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909

1,097

“…In [] the authors also point out an interesting connection between their refined dS swampland conjecture and the swampland distance conjecture . They do so by using Bousso's covariant entropy bound and thereby provide support for their refined dS swampland conjecture in the asymptotic regime, which is parametrically controlled in a strict, mathematical sense.…”

Section: Introductionmentioning

confidence: 98%

The Asymptotic dS Swampland Conjecture ‐ a Simplified Derivation and a Potential Loophole

Hebecker

Wrase

2018

Recently, arguments for a refined de Sitter conjecture were put forward in [1]. Using the large distance conjecture of [2], the authors provide evidence for this dS conjecture in asymptotic regimes of field space, where the parametric control of string theory becomes arbitrarily good. Their main tool is Bousso's covariant entropy bound.[3] Here, we describe a simpler way to reach a similar conclusion. The argument is based on the fact that the cutoff of an effective theory with gravity decreases as the number of species grows. We then discuss a loophole in this argument and its possible counterpart in the assumptions underlying the entropy‐based derivation. The idea is to consider potentials which, while they remain below an exponentially falling bound, have small oscillations leading locally to relatively flat regions or even to an infinite series of dS minima.

A Note on Inflation and the Swampland

Kehagias

Riotto

2018

130

105

We provide some comments about the constraints on the inflationary models inferred from the two Swampland criteria which have been recently proposed. In particular we argue that, in the absence of any knowledge about the origin of the adiabatic curvature perturbations, within the slow-roll single field models of inflation there is no tension between the swampland criteria and the current lower bound on the tensor-to-scalar ratio.