Project

Geometry from continuous MERA 

Code
3E001716
Duration
01 October 2016 → 30 September 2019
Funding
Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • Applied mathematics in specific fields
    • Astronomy and space sciences
    • Classical physics
    • Materials physics
    • Mathematical physics
    • Quantum physics
Keywords
string theory AdS/CFT correspondence
 
Project description

In the last two decades, research in theoretical high-energy physics has been greatly impacted by the famous “AdS/CFT correspondence”, which formulates an unexpected duality between string theory and quantum field theory. “Zooming out”, string theory is the main candidate for a quantum gravity theory, the holy grail of theoretical physics which would succeed in describing systems in nature that involve strong gravitational forces at small length scales, such as the big bang or black holes. A quantum field theory on the other hand can be used to describe quantum many-body systems, i.e. systems consisting of a large number of microscopic particles. The Multiscale Entanglement Renormalization Ansatz (MERA) is a particular technique in quantum many-body physics, whose relation to the field of quantum gravity (through the AdS/CFT duality) has been of great recent interest. This relation is termed AdS/MERA, and an important concept in it is the extension of MERA called “cMERA”, which was developed in the group of Prof. Verstraete. I propose several ways in which cMERA can be further extended, from the perspective of an AdS/CFT physicist, to be able to advance AdS/MERA. A better understanding of AdS/MERA is necessary to investigate how gravity, and thus spacetime or geometry, can emerge from quantummechanical information in a system.