The Holographic Bootstrap

Introduction

The holographic principle is believed to embody key fundamental features of any quantum gravity theory. It can be seen as a profound consequence of the intrinsic tension between the definition of quantum observables and the fact that in a theory of gravity it is impossible to define such observables in any finite volume due to the existence of Black Holes.

Project Aim

The aim of this project is to push the boundaries of the holographic principle beyond AdS space. This will involve formulating a set of self-consistency requirements in:

1. dS (de Sitter) backgrounds
2. Flat backgrounds
3. Inflationary backgrounds

These requirements will be addressed directly at the level of the sought-after holographic observables.

Expected Outcomes

If successful, this project will allow us to:

• Understand the basic model-independent principles at the basis of a quantum gravity theory.
• Check if a result of a calculation is consistent with unitarity and causality.

This could provide a paradigm shift in the search for consistent quantum gravity theories.

Phenomenological Applications

The bottom-up perspective developed by HoloBoot will also be centered on phenomenological applications, which include:

• Classifying model-independent properties of consistent gravitational EFTs (Effective Field Theories).
• Understanding signatures of new particles during Inflation.