Multi-layered Holography and Dimensional Democracy

• Applicant: Dr. Christoph Frank Uhlemann
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: from 2013 to 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 242077889

Two of the fundamental open problems in theoretical physics are finding an appropriate non-perturbative definition of quantum gravity on the conceptual side and understanding the strongly-coupled regime of quantum field theories like QCD on the methodological side. The holographic AdS/CFT dualities give a handle on these issues by providing an equivalent description of (d+1)-dimensional gravity theories on anti-de Sitter space in terms of d-dimensional conformal field theories. They have led to remarkable progress in our understanding of both, gravity and strongly-coupled quantum field theory, and have become an integral part of theoretical high-energy physics research.The aim of this project is to establish a new class of holographic relations. We want to explicitly realize sequences of holographic dualities, where the theory on the lower-dimensional side of one duality can be identified with the higher-dimensional part of the following. These multi-layered dualities allow for the equivalent description of a single theory in a variety of spacetime dimensions and shall provide a new method for the study of gravity and strongly-coupled quantum field theory.

• DFG Programme: Research Fellowships
• International Connection: USA
• Host: Professor Dr. Andreas Karch