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DTSTART;TZID=America/New_York:20220518T160000
DTEND;TZID=America/New_York:20220518T173000
DTSTAMP:20260623T212226
CREATED:20240214T095418Z
LAST-MODIFIED:20240813T163304Z
UID:10002651-1652889600-1652895000@cmsa.fas.harvard.edu
SUMMARY:The Generalized Landau Paradigm (a review of generalized symmetries in condensed matter)
DESCRIPTION:Abstract: Recent advances in our understanding of symmetry in quantum many-body systems offer the possibility of a generalized Landau paradigm that encompasses all equilibrium phases of matter. This talk will be an elementary review of some of these developments\, based on: https://arxiv.org/abs/2204.03045
URL:https://cmsa.fas.harvard.edu/event/5-18-2022-quantum-matter-in-mathematics-and-physics/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-05.18.22-1583x2048-1.jpg
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220518T160000
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CREATED:20240215T101105Z
LAST-MODIFIED:20240813T162341Z
UID:10002739-1652889600-1652895000@cmsa.fas.harvard.edu
SUMMARY:Boundary conditions and LSM anomalies of conformal field theories in 1+1 dimensions
DESCRIPTION:Speaker: Linhao Li (ISSP\, U Tokyo) \nTitle: Boundary conditions and LSM anomalies of conformal field theories in 1+1 dimensions \nAbstract: In this talk\, we will study a relationship between conformally invariant boundary conditions and anomalies of conformal field theories (CFTs) in 1+1 dimensions. For a given CFT with a global symmetry\, we consider symmetric gapping potentials which are relevant perturbations to the CFT. If a gapping potential is introduced only in a subregion of the system\, it provides a certain boundary condition to the CFT. From this equivalence\, if there exists a Cardy boundary state which is invariant under a symmetry\, then the CFT can be gapped with a unique ground state by adding the corresponding gapping potential. This means that the symmetry of the CFT is anomaly free. Using this approach\, we will systematically deduce the anomaly-free conditions for various types of CFTs with several different symmetries. When the symmetry of the CFT is anomalous\, it implies a Lieb-Schultz-Mattis type ingappability of the system. Our results are consistent with\, where available\, known results in the literature. Moreover\, we extend the discussion to other symmetries including spin groups and generalized time-reversal symmetries. As an application\, we propose 1d LSM theorem involving magnetic space group symmetries on the lattice. The extended LSM theorems apply to systems with a broader class of spin interactions\, such as Dzyaloshinskii-Moriya interactions and chiral three-spin interactions.
URL:https://cmsa.fas.harvard.edu/event/5-18-2022-quantum-matter-in-mathematics-and-physics-2/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-05.18.22-1583x2048-1.jpg
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