Level Two String Functions and Rogers Ramanujan Type Identities

Abstract

The level two string functions are calculated exactly for all simply laced Lie algebras, using a ladder coset construction. These are the characters of cosets of the type $G/U(1{)}^r$, where $G$ is the algebra at level two and $r$ is its rank. This coset is a theory of generalized parafermions. A conjectured Rogers Ramanujan type identity is described for these characters. Using the exact string functions, we verify the Rogers Ramanujan type expressions, that are the main focus of this work.

26 pages

Cited by in corpus (2)

• On The Characters of Parafermionic Field Theories
• The $\mathbf{SO}(2\mathbf{r}{)}_2$ string functions as $\mathbf{q}$-diagrams