Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the $\sln$ principal subspace

B. Feigin, M. Jimbo, T. Miwa

We derive a bosonic formula for the character of the principal space in the level $k$ vacuum module for ${\widehat{\mathfrak{sl}}}_{n+1}$, starting from a known fermionic formula for…