Field identification fixed points in the coset construction

A. N. Schellekens*, S. Yankielowicz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We discuss two related problems in conformal field theory. The first is the construction of the modular transformation matrix S for integer spin modular invariants in which some characters appear with multiplicity larger than 1. The second problem is the relation between the characters and the branching functions in coset theories in which the field identification identifies some fields with themselves ("fixed points"). We find that these problems are closely related, and that the solution is remarkably interesting. The fixed points of any conformal field theory seem always to define a new (not necessarily unitary) conformal field theory whose primary fields are in one-to-one correspondence with the fixed points. The characters of this conformal field theory are needed to modify the coset branching functions.

Original languageEnglish
Pages (from-to)67-102
Number of pages36
JournalNuclear Physics, Section B
Issue number1
StatePublished - 9 Apr 1990
Externally publishedYes


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