Markov traces and II1 factors in conformal field theory | Zendy

Jan de Boer | Zendy; Jacob K. Goeree | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Markov traces and II1 factors in conformal field theory

Author(s) -

Jan de Boer,

Jacob K. Goeree

Publication year - 1991

Publication title -

communications in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.662

H-Index - 152

eISSN - 1432-0916

pISSN - 0010-3616

DOI - 10.1007/bf02352496

Subject(s) - mathematics , conformal map , primary field , pure mathematics , conformal field theory , trace (psycholinguistics) , conformal symmetry , duality (order theory) , field (mathematics) , invariant (physics) , knot (papermaking) , algebra over a field , markov chain , mathematical analysis , mathematical physics , linguistics , philosophy , chemical engineering , engineering , statistics

Using the duality equations of Moore and Seiberg we define for every primary field in a Rational Conformal Field Theory a proper Markov trace and hence a knot invariant. Next we define two nested algebras and show, using results of Ocneanu, how the position of the smaller algebra in the larger one reproduces part of the duality data. A new method for constructing Rational Conformal Field Theories is proposed.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research