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arxiv: math-ph/0412084 · v2 · submitted 2004-12-22 · 🧮 math-ph · math.MP

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

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keywords superconformalmodelsalgebrasbaileycentralcharacterminimalcharge
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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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