Abstract
We conjecture polynomial identities which imply Rogers-Ramanujan type identities for branching functions associated with the cosets [Formula: see text], with [Formula: see text], Dn–1 (ℓ≥2), E6,7,8 (ℓ=2). In support of our conjectures we establish the correct behavior under level-rank duality for [Formula: see text] 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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