Analytiska tekniker för utforskandet av konforma fältteorier

Tidsperiod: 2019-01-01 till 2022-12-31

Projektledare: Agnese Bissi

Finansiär: Vetenskapsrådet

Bidragstyp: Bidrag för anställning eller stipendier

Budget: 3 970 000 SEK

This project will study analytically conformal field theories in space-time dimensions greater than two. The approach that will be used goes under the name of conformal bootstrap and does not rely on a Lagrangian description but on symmetries and consistency conditions. For this reason it applies to any conformal field theory in any number of dimensions, offering a unified framework to study them analytically. The project aims at studying two classes of theories: supersymmetric conformal field theories and conformal field theories in the presence of defects. Such theories have a wide range of applications, from quantum gravity to condensed matter, and understanding their dynamics will shed light on more general quantum field theories. The project can be split in several sub-projects which are easier to solve and which can result into publications. This is useful both to create clear achievable goals and for the career path of the Post- Docs involved. The idea would be to first adapt existing techniques to the cases at hand and then integrate such techniques with new ideas to approach these theories. Both strands require some technical background and a basic understanding of conformal field theories so the plan would be to hire two Post-Doc, for 2+1 years each, in such a way that each Post-Doc can work on a single strand. The third year of each post doc will be covered by departmental money and it will be covered assuming satisfactory performance and availability of funding.