Constraints For Topological Strings In $D\ge 1$

Abstract

New relations of correlation functions are found in topological string theory; one for each second cohomology class of the target space. They are close cousins of the Deligne-Dijkgraaf-Witten's puncture and dilaton equations. When combined with the dilaton equation and the ghost number conservation, the equation for the first chern class of the target space gives a constraint on the topological sum (over genera and (multi-)degrees) of partition functions. For the $\CP^1$ model, it coincides with the dilatation constraint which is derivable in the matrix model recently introduced by Eguchi and Yang.

29 pages, latex, no figures

References in corpus (3)

• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Topological Field Theory and Rational Curves
• The Topological CP^1 Model and the Large-N Matrix Integral

Cited by in corpus (22)

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• Quantum Cohomology and Virasoro Algebra
• Geometry and analytic theory of Frobenius manifolds
• Instantons and Merons in Matrix Models
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• Local Moduli of Semisimple Frobenius Coalescent Structures
• Correlators in the Simplest Gauge-String Duality
• Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms
• On Quantum Cohomology Rings for Hypersurfaces in $C{P}^{N-1}$
• Painleve' transcendents and two-dimensional topological field theory
• Topological String Correlators from Matrix Models
• Topological String Geometry
• The Toda conjecture
• Topological gravity in genus 2 with two primary fields
• Givental formula in terms of Virasoro operators
• Frobenius Manifolds And Virasoro Constraints
• Descendant Gromov-Witten Invariants, Simple Hurwitz Numbers, and the Virasoro Conjecture for P^1
• Hori's Equation for Gravitational Virtual Structure Constants of Calabi-Yau Hypersurface in CP^{N-1}
• Generalized Hypergeometric Functions for Degree k Hypersurface in CP^{N-1} and Intersection Numbers of Moduli Space of Quasimaps from CP^{1} with Two Marked Points to CP^{N-1}
• Getzler relation and Virasoro conjecture for genus one
• Period Integrals (Givental's I-function) of Calabi-Yau Hypersurface in $C{P}^{N-1}$ and Intersection Numbers of Moduli Space of Quasimaps from $C{P}^1$ with Two Marked Points to $C{P}^{N-1}$
• Topological $\sigma$-Models and Large-$N$ Matrix Integral