Principal subspaces of basic modules for twisted affine Lie algebras, q -series multisums, and Nandi’s identities
Katherine Baker, Shashank Kanade, Matthew C. Russell, Christopher Sadowski
Source abstract
We provide an observation relating several known and conjectured q -series identities to the theory of principal subspaces of basic modules for twisted affine Lie algebras. We also state and prove two new families of q -series identities. The first family provides quadruple sum representations for Nandi’s identities, including a manifestly positive representation for the first identity. The second is a family of new mod 10 identities connected with principal characters of integrable, level 4, highest-weight modules of D 4 ( 3 ) .
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