Spectral Flows and Twisted Topological Theories

Abstract

We analyze the action of the spectral flows on N=2 twisted topological theories. We show that they provide a useful mapping between the two twisted topological theories associated to a given N=2 superconformal theory. This mapping can also be viewed as a topological algebra automorphism. In particular null vectors are mapped into null vectors, considerably simplifying their computation. We give the level 2 results. Finally we discuss the spectral flow mapping in the case of the DDK and KM realizations of the topological algebra.

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References in corpus (6)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Two dimensional black-hole as a topological coset model of c=1 string theory
• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• d\leq1\bigcup d\geq25$andConstrainedKPHierarchyfromBRSTInvarianceinthe$c\neq3$ Topological Algebra
• Singular Vectors and Topological Theories from Virasoro Constraints via the Kontsevich-Miwa Transform
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Cited by in corpus (6)

• 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
• Families of Singular and Subsingular Vectors of the Topological N=2 Superconformal Algebra
• 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