Characters of admissible representations of the affine superalgebra ŝl(2|1; C)k Original Research Article

We calculate characters and supercharacters for irreducible, admissible representations of the affine superalgebra ŝl(2|1; C)k in both the Ramond and Neveu-Schwarz sectors and discuss their modular properties in the special case of level k = −12. We also show that the non-degenerate integrable ŝl(2|1; C)k characters coincide with some N = 4 superconformal characters.