### Abstract

These are lecturenotes for 2 lectures delivered at the Les Houches workshop. They review two examples of interesting interactions between number theory and string compactification, and raise some new questions and issues in the context of those examples. The first example concerns the role of the Rademacher expansion of coefficients of modular forms in the AdS/CFT correspondence. The second example concerns the role of the attractor mechanism of supergravity in selecting certain arithmetic Calabi-Yau's as distinguished compactifications.

Original language | English (US) |
---|---|

Title of host publication | Frontiers in Number Theory, Physics, and Geometry II |

Subtitle of host publication | On Conformal Field Theories, Discrete Groups and Renormalization |

Publisher | Springer Berlin Heidelberg |

Pages | 303-359 |

Number of pages | 57 |

ISBN (Print) | 3540303073, 9783540303077 |

DOIs | |

State | Published - 2007 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Strings and arithmetic'. Together they form a unique fingerprint.

## Cite this

Moore, G. (2007). Strings and arithmetic. In

*Frontiers in Number Theory, Physics, and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization*(pp. 303-359). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-30308-4_8