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

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

1995-01-11

arxiv.org/abs/hep-th/9501036v1

Nucl.Phys. B444 (1995) 265-286

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 20 pages, no figures

Scientific paper

10.1016/0550-3213(95)00140-N

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.

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