On the String Interpretation of the $t\bar{t}$-geometry

Abstract

We derive the $t\bar{t}$-equations for generic $N=2$ topological field theories as consistency conditions for the contact term algebra of topological strings. A generalization of the holomorphic anomaly equation, known for the critical $\hat{c}=3$ case, to arbitrary non critical topological strings is presented. The interplay between the non trivial cohomology of the $b$-antighost, gravitational descendants and $\bar{t}$-dependence is discussed. The physical picture emerging from this study is that the $\bar{t}$ (background) dependence of topological strings with non trivial cohomology for the $b$-antighost, is determined by gravitational descendants.

Latex, 20 pages, no figures

References in corpus (7)

• Holomorphic Anomalies in Topological Field Theories
• Quantum Background Independence In String Theory
• Geometry and Integrability of Topological-Antitopological Fusion
• Quantum Background Independence of Closed String Field Theory
• A Proof of Local Background Independence of Classical Closed String Field Theory
• Topological Strings, Flat Coordinates and Gravitational Descendants
• On the Algebraic Structure of the Holomorphic Anomaly for N=2 Topological Strings