Topological string partition functions as polynomials
By Satoshi Yamaguchi, Shing-Tung Yau. 2004
156 citations recorded by the source corpus.
We investigate the structure of the higher genus topological string amplitudes on the quintic hypersurface. It is shown that the partition functions of the higher genus than one can be expressed as polynomials of five generators. We also compute the explicit polynomial forms of the partition functions for genus 2, 3, and 4. Moreover, some coefficients are written down for all genus.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/8035ed53d426cf9e56270557c1c83cb690013200
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Marcos Mariño
- A. Klemm
- V. Bouchard
- Min-xin Huang
- Sara Pasquetti
- A. Kashani-Poor
- Marlene Weiss
- B. Eynard
In Nuclear and High Energy Physics
- Marcos Mariño
- A. Klemm
- Min-xin Huang
- V. Bouchard
- Sara Pasquetti
- A. Kashani-Poor
- Marlene Weiss
- C. Vafa
Citations in the corpus
- Direct integration of the topological string (2007, methodology): “For the quintic Calabi-Yau manifold a more complicated method was outlined in [62].”
- Remodeling the B-Model (2007, background): “Modular invariance of the amplitudes completely governs the non-holomorphic terms in the amplitudes [49, 32, 1, 33, 24] and reduces the problem of fixing the holomorphic ambiguity to a finite set of data for a given g and h.”
- The Ω Deformed B-model for Rigid N = 2 Theories (2011, methodology): “The relation between the holomorphic anomaly and target space modularity was developed in [10, 42] and led, upon imposing suitable boundary conditions, to the direct integration method [11, 12, 14, 9].”
- Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions (2006, methodology): “Then the main result of [20] is the following proposition.”