The Pollica perspective on the (super)-conformal world

Made available in DSpace on 2022-04-29T08:30:05Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-07-01 Istituto Nazionale di Fisica Nucleare Ministry of Education, Culture, Sports, Science and Technology This manuscript samples a series of recent results in the quest for a systematic understanding of the space of conformal field theories, with a particular focus on theories with extended supersymmetry. The large majority of results reported here were presented during the second Pollica summer workshop which took place from June 3-21 2019 and focused on mathematical and geometric tools for superconformal field theories. This manuscript represents in many ways a partial summary of the workshop. Mathematical Institute University of Oxford, Woodstock Road University of Cincinnati Physics Department Theoretical Physics Department CERN University of Texas Austin Physics Department C N Yang Institute for Theoretical Physics Stony Brook University Simons Center for Geometry and Physics Stony Brook University Dipartimento di Fisica Ettore Pancini Universita degli Studi di Napoli Federico II, Monte S Angelo, Via Cintia INFN Sezione di Napoli, Monte S Angelo, Via Cintia Department of Physics Princeton University Jadwin Hall Indian Institute of Science Education and Research, Homi Bhabha Rd, Pashan Institut Philippe Meyer Departement de Physique Ecole Normale Superieure Universite PSL Institut de Physique Theorique CEA Saclay Department of Physics and Astronomy Purdue University Purdue Quantum Science and Engineering Institute (PQSEI) Purdue University Perimeter Institute for Theoretical Physics Instituto de Fsica Teorica UNESP ICTP South American Institute for Fundamental Research DESY Theory Group, Notkestraße 85 Theoretical Physics Group The Blackett Laboratory Imperial College London, Prince Consort Road Department of Physics Technion Department of Particle Physics and Astrophysics Weizmann Institute of Science Dipartimento di Fisica Università di Milano-Bicocca INFN Sezione di Milano-Bicocca, Piazza della Scienza 3 Kavli IPMU WPI University of Tokyo, Chiba Niels Bohr Institute Copenhagen University, Blegdamsvej 17 Princeton Center for Theoretical Science Princeton University Department of Physics and Astronomy Uppsala University, Box 516 School of Natural Sciences Institute for Advanced Study, 1 Einstein Drive Instituto de Fsica Teorica UNESP ICTP South American Institute for Fundamental Research