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Explore how emergent fermions modify symmetries in 2+1 dimensional quantum field theory in this seminar presented by Dr. Matthew Yu from the University of Oxford. Delve into the theoretical framework where fermionic degrees of freedom emerge from underlying quantum systems and examine their impact on symmetry structures in two spatial plus one temporal dimensions. Learn about the mathematical foundations of emergent fermions and their role in modifying conventional symmetry operations, including how these modifications affect the classification and behavior of quantum phases. Understand the implications for condensed matter systems where such emergent phenomena occur, particularly in strongly correlated electron systems and quantum spin liquids. Discover the connections between emergent fermions and topological phases of matter, and examine how symmetry modifications can lead to novel quantum states with unique properties. This presentation is part of the "Quantum field theory with boundaries, impurities, and defects" program at the Isaac Newton Institute for Mathematical Sciences.
