====== TF03: CFT and formal QFT ======
Co-Conveners: David Poland (Yale), Leonardo Rastelli (Stony Brook)

===== Description=====
 Quantum field theory is of fundamental importance in theoretical physics, providing a universal language and an array of immensely useful tools. The subject of formal quantum field theory is undergoing rapid development, both in its conceptual foundations and in the discovery of powerful theoretical tools.  A variety of methods are used to understand strongly-coupled QFT, including taking advantage of symmetries and dualities. Conformal field theories make connections to quantum gravity via holography, critical phenomena, BSM physics, and mathematics. The conformal bootstrap approach to CFTs has recently seen immense progress, with
close ties to the S-matrix and modular bootstrap. Supersymmetric quantum field theory is another rich arena, with numerous exact
results and the development of powerful techniques such as localization and integrability. There has also been much progress in
the use of QFT to understand infrared phases of matter, including the classification of topological phases, the use of generalized
symmetries, and making connections to information-theoretic ideas.

Subtopics to be explored:
  * CFT, conformal bootstrap, and related ideas; including interfaces with the S-matrix bootstrap and quantum gravity/string theory via holography
  * SUSY in various dimensions; including exact results, localization, integrability, decoupling limits of string theory
  * IR phases, topological QFT; including generalized symmetries, interfaces with condensed matter, and related aspects of entanglement
  * General nonperturbative methods in QFT; including resurgence, truncation methods, functional RG, dualities, interface with lattice QFT
  * Interfaces between QFT and quantum information; including entanglement structure of QFTs, information-theoretic approaches to c-theorems, QNEC
  * Interfaces between QFT and mathematics

===== Submitted LOI =====
Here is the list of submitted LOIs to this  topic. 
 First index before "/"  corresponds to the primary frontier used for the submission.
 {{url>https://www.snowmass21.org/docs/files/list.php?frontier=TF3  noborder 95%,600px}}