# The Uplifting of AdS Type to Quintessence Like Potential Induced by Frozen Large Scale Lorentz Violation

## TL;DR

This paper explores how large-scale Lorentz violation can transform anti-de Sitter vacua into quintessence-like potentials, providing insights into cosmic acceleration and the nature of vacuum energy in string theory.

## Contribution

It introduces a mechanism where Lorentz violation effects uplift AdS vacua to quintessence-like states, linking string landscape and swampland scenarios with cosmological evolution.

## Key findings

- Effective cosmological constant depends on Lorentz violation.
- AdS vacua can be uplifted to quintessence-like potentials.
- Transition behavior occurs near zero bare cosmological constant.

## Abstract

The quintessence-like potential of vacuum energy can meet the requirement from both quantum gravity and the accelerating expansion of the universe. The anti-de Sitter vacuum in string theory has to be lifted to the meta-stable de Sitter vacuum with positive vacuum energy density to explain the accelerating expansion of the universe. Based on the possible large scale Lorentz violation, we define an effective cosmological constant which depends not only on the bare cosmological constant but also on the Lorentz violation effect. We find the evolution of the effective cosmological constant exhibits the behavior of quintessence potential when the bare cosmological constant is from string landscape in contrary to the existence of local minimum during evolution while the bare cosmological constant is supplied by the swampland. The critical value of bare cosmological constant is approximately zero for the behavior transition. The frozen large scale Lorentz violation can uplift the AdS vacua to an effective quintessence-like one in this sense.