Conformal characters and the modular representation | Zendy

P. Bántay | Zendy; Terry Gan | Zendy

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Conformal characters and the modular representation

Author(s) -

P. Bántay,

Terry Gan

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/02/005

Subject(s) - modular design , representation (politics) , conformal map , algebra over a field , modular group , field (mathematics) , computer science , mathematics , conformal field theory , pure mathematics , geometry , programming language , politics , political science , law

A general procedure is presented to determine, given any suitablerepresentation of the modular group, the characters of all possible RationalConformal Field Theories whose associated modular representation is the givenone. The relevant ideas and methods are illustrated on two non-trivialexamples: the Yang-Lee and the Ising models.Comment: 17 page

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