## On solutions to Walcher's extended holomorphic anomaly equation

Date: | June 4, 2008, 15:30 - 17:00 |

Place: | Room 633, 6th floor, Research Centers Building, Kashiwa Campus of the University of Tokyo |

Speaker: | Yukiko Konishi (Kyoto University) |

Title: | On solutions to Walcher's extended holomorphic anomaly equation |

Abstract: |
Bershadsky-Cecotti-Ooguri-Vafa's (BOCV's) holomorphic anomaly equation
is a partial differential equation satisfied by
the higher genus B-model topological string amplitude.
A solution to this equation is expressed
in terms of Feynman diagrams up to holomorphic ambiguity.
Yamaguchi and Yau showed that
the solution is a polynomial in a finite number of
generators in the case of the mirror quintic.
On the other hand, BCOV's holomorphic anomlay equation has been extended to the open string by Walcher in 2007. In this talk, I will explain the result that a similar polynomiality also holds for his equation. This is the joint work with Satoshi Minabe. The result was also proved independently by Alim and Laenge. |