The Other Spectral Flow

Abstract

Recently we showed that the spectral flow acting on the N=2 twisted topological theories gives rise to a topological algebra automorphism. Here we point out that the untwisting of that automorphism leads to a spectral flow on the untwisted N=2 superconformal algebra which is different from the usual one. This "other" spectral flow does not interpolate between the chiral ring and the antichiral ring. In particular, it maps the chiral ring into the chiral ring and the antichiral ring into the antichiral ring. We discuss the similarities and differences between both spectral flows. We also analyze their action on null states.

Latex, 7 pages

Cited by in corpus (5)

• Chiral Determinant Formulae and Subsingular Vectors for the N=2 Superconformal Algebras
• Determinant Formula for the Topological N=2 Superconformal Algebra
• Transmutations between Singular and Subsingular Vectors of the N=2 Superconformal Algebras
• Construction Formulae for Singular Vectors of the Topological and of the Ramond N=2 Superconformal Algebras
• The Even and the Odd Spectral Flows on the N=2 Superconformal Algebras