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SUMMARY:On gauging symmetry of modular categories - Julia Plavnik (Texas A
 &M University )
DTSTART:20170127T100000Z
DTEND:20170127T110000Z
UID:TALK70344@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>         Co-authors: Shawn X.  Cui 		( Stanford Universi
 ty)\, C&eacute\;sar Galindo 		(Universidad de los Andes)\, Zhenghan Wang 	
 	(Microsoft Research\, Station QUniversity of CaliforniaSanta Barbara)    
     <br></span>&nbsp\;<br>A very interesting class of fusion categories is
  the one formed by  modular categories. These categories arise in a variet
 y of mathematical  subjects including topological quantum field theory\, c
 onformal field  theory\, representation theory of quantum  groups\, von Ne
 umann algebras\, and vertex operator algebras. In addition  to the mathema
 tical interest\, a motivation for  pursuing a classification of modular ca
 tegories comes from their  application in condensed matter physics and qua
 ntum  computing. <br>  <span>&nbsp\;<br>Gauging is a well-known theoretica
 l tool to promote a global symmetry to  a local gauge symmetry. In this ta
 lk\, we will present a mathematical  formulation of gauging in terms of hi
 gher category formalism. Roughly\,  given a unitary modular category (UMC)
  with a symmetry group G\, gauging  is a 2-step process: first extend the 
 UMC to a G-crossed  braided fusion category and then take the equivarianti
 zation of the  resulting category. This is an useful tool to construct  ne
 w modular categories from given ones.  We will show through concrete examp
 les which are the ingredients  involved in this process. In addition\, if 
 time allows\, we will mention  some classification results and conjectures
  associated to the notion of  gauging.&nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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