Mercredi l 10-05-2017
Unifying the fundamental forces of nature

Massimo Taronna is a researcher at the Department of Theoretical and Mathematical Physics of the Faculty of Science, that is headed by Marc Henneaux, since 2015. Mr. Taronnas has recently been awarded a European Marie Skłodowska-Curie grant which will allow him to spend two years at the Princeton University In the United States, before returning to Brussels for a year.

One of the fundamental problems of quantum field theory is to map the space of the scale-invariant fixed points of the renormalisation group flow. This is a key question for understanding the landscape of quantum field theories. Further importance stems from the relation between fixed points of the renormalisation group flow and critical phenomena, and through gauge/gravity duality to quantum gravity.

The bootstrap program was developed to study solutions to the associativity constraint in fig.1 (attachment) at the basis of conformal field theories and has its roots in the S-matrix approach to the nuclear force. It is based on the idea that general principles (symmetry and quantum mechanics) should suffice to uniquely fix the dynamics of quantum field theories. Although the idea was first proposed by A. Polyakov in the 1970s, only recently has it led to striking results for unitary conformal field theories in d>2, such as the Ising model in 3d.

During this project I intend to develop new systematic tools both numerical and analytical, tailored to carve out the space of non-supersymmetric conformal field theories in generic dimension and their bulk dual in Anti-de-Sitter space-time via methods initially developed in the context of higher-spin theories.

The greater control over the conformal bootstrap would also provide new tools to achieve a deeper understanding of quantum gravity via holography, indicating when a local space-time can emerge as we traverse the conformal field theory landscape. Indeed, a crucial physical question in the holographic reconstruction program is the emergence of bulk locality. This is particularly relevant for theories of higher-spin fields whose interactions involve an arbitrary number of derivatives. Gauge/gravity duality provides a framework to investigate the locality properties of such theories, which can be studied systematically using the tools which will be developed.

Fig 1.jpg