Non-unitary minimal models, Bailey's lemma and N=1,2 superconformal algebras

Physics – Mathematical Physics

Scientific paper

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14 pages; references added; minor typos corrected

Scientific paper

10.1007/s00220-005-1432-4

Using the Bailey flow construction, we derive character identities for the N=1 superconformal models SM(p',2p+p') and SM(p',3p'-2p), and the N=2 superconformal model with central charge c=3(1-2p/p') from the nonunitary minimal models M(p,p'). A new Ramond sector character formula for representations of N=2 superconformal algebras with central element c=3(1-2p/p') is given.

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