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 |
Attachments |
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