Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series PT-IHES
Subjects hep-th
Date Tuesday 27 April 2021
Time 17:00
Institute IHES
Seminar Room zoom
Speaker's Last Name Kapustin
Speaker's First Name Anton
Speaker's Email Address
Speaker's Institution Caltech
Title Noncommutative geometry of quantum lattice models and the higher Berry phase
Abstract Recently methods of quantum statistical mechanics have been fruitfully applied to the study of phases of quantum lattice systems at zero temperature. For example, a rigorous definition of a Short-Range Entangled phase of matter has been given and a classification of such phases in one spatial dimension has been achieved. I will discuss some of these developments, focusing on the topology and geometry of the space of Short-Range Entangled states. According to a conjecture of A. Kitaev, these spaces form a loop spectrum in the sense of homotopy theory. This conjecture implies that to any family of Short-Range entangled states in one dimension one can associate a gerbe on the parameter space. I will show how to construct such a gerbe. Thе curvature of this gerbe is a closed 3-form with quantized periods and can be regarded as a higher-dimensional generalization of the curvature of the Berry connection.
arXiv Preprint Number
Comments Zoom Réunion : https://us02web.zoom.us/j/81778962715?pwd=QnpNS2ErSnBCTWRYUHphd1VMMysyZz09 ID de réunion : 817 7896 2715 Code secret : 800452
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