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X-WR-CALNAME;VALUE=TEXT:Seminar, Liang Kong (Southern University of Science and Technology), A unified mathematical theory of gapped and gapless boundaries of 2d topological orders
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SUMMARY:Seminar, Liang Kong (Southern University of Science and Technology), A unified mathematical theory of gapped and gapless boundaries of 2d topological orders
DESCRIPTION:<p>	<drupal-media data-entity-type="media" data-entity-uuid="4ca62101-f365-444d-a26b-88ec161ae029" alt="Liang Kong" data-view-mode="hwp_small"></drupal-media></p><p>	<strong>Title. </strong> A unified mathematical theory of gapped and gapless boundaries of 2d topological orders</p><p>	<strong>Abstract.</strong> A 2d topological order can be described by a unitary modular tensor category (UMTC) of anyons and a chiral central charge. The mathematical theory for gapped boundaries of 2d topological orders has been established a few years ago. A gapped boundary is described by a unitary fusion category whose Drinfeld center gives precisely the UMTC associated to the bulk. The mathematical theory for gapless boundaries is not known, but it was long believed that a chiral gapless boundary should be described by a ``chiral conformal field theory'', the precise meaning of which was not known. In this talk, I will establish this missing theory and show that observables on the 1+1D world sheet of such a boundary form an enriched monoidal category, whose Drinfeld center is again precisely the UMTC associated to the bulk. This is joint work with Hao Zheng. </p>
LOCATION:Jefferson 356
STATUS:CONFIRMED
DTSTART:20190212T200000Z
DTEND:20190212T200000Z
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