A-D-E Polynomial and Rogers–Ramanujan Identities
نویسندگان
چکیده
We conjecture polynomial identities which imply Rogers–Ramanujan type identities for branching functions associated with the cosets (G)l−1⊗(G )1/(G )l, with G=An−1 (l ≥ 2), Dn−1 (l ≥ 2), E6,7,8 (l = 2). In support of our conjectures we establish the correct behaviour under level-rank duality for G=An−1 and show that the A-D-E Rogers–Ramanujan identities have the expected q → 1− asymptotics in terms of dilogarithm identities. Possible generalizations to arbitrary cosets are also discussed briefly.
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