Correlators of a rational conformal field theory (RCFT) can be described as specific elements in spaces of conformal blocks. A general construction of these elements, found more than a decade ago, makes use of the finiteness properties of RCFTs together with the connection between RCFTs and topological field theories (TFTs). For non-rational conformal field theories a direct connection with TFTs no longer exists. Still, an alternative construction of correlators is possible for the class of so-called finite CFTs, which are non-semisimple but share relevant finiteness properties of RCFTs. This construction is based on a `Lego-Teichmüller game' that controls the pair-of-pants decompositions of surfaces. I will describe basic features of these two constructions as well as some of the tools that are needed for establishing them.
30 Aug 2019
3:00pm - 4:00pm
Where
Room 5510, Academic Building (near Lifts 25-26)
Speakers/Performers
Prof. Jürgen Fuchs
Theoretical Physics, Karlstads University, Sweden
Organizer(S)
Department of Mathematics
Contact/Enquiries
mathseminar@ust.hk
Payment Details
Audience
Alumni, Faculty and Staff, PG Students, UG Students
Language(s)
English
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