# Swampland Criteria in the Slotheon Field Dark Energy

## TL;DR

This paper investigates whether the Slotheon Dark Energy model aligns with string theory's Swampland criteria, finding it fits better than traditional quintessence models and thus may be more consistent with quantum gravity constraints.

## Contribution

The study demonstrates that the Slotheon Dark Energy model complies more closely with Swampland criteria than standard quintessence models, suggesting its viability within string theory constraints.

## Key findings

- Slotheon model better satisfies Swampland criteria than quintessence.
- The model avoids stable de Sitter vacua, aligning with quantum gravity.
- Supports the Slotheon model as a promising dark energy candidate.

## Abstract

We explore in this work whether Slotheon model of Dark Energy obeys the Swampland criteria of string theory. Since de Sitter vacuum is very difficult to construct in string theory the cosmological constant as an explanation of Dark Energy is almost ruled out in string theory since it involves a scalar potential $V$ with positive local minimum that ends up to a stable (or meta stable) de Sitter (ds) vacuum. In quintessence model however if the derivative of the scalar potential $V$ ($\nabla V$) is small and $\frac{|\nabla V|}{V} \sim {\cal {O}}(1)$ then in this situation the potential $V$ can be positive but the scalar field may not be at the minimum. For a consistent quantum theory of gravity the theory should not have any ds or meta stable ds vacua. In this regard the Swampland criterion is proposed which any low energy theory should obey to be consistent with quantum theory of gravity. This criterion is written as $|\nabla V|/V > c \sim {\cal {O}}(1)$. In this work we consider a scalar field model for Dark Energy namely the Slotheon Dark Energy model inspired by the theories of extra dimensions and show that this Dark Energy model agrees better with the Swampland criteria than the quintessence Dark Energy model.