Strings and arithmetic

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations

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 languageEnglish (US)
Title of host publicationFrontiers in Number Theory, Physics, and Geometry II
Subtitle of host publicationOn Conformal Field Theories, Discrete Groups and Renormalization
PublisherSpringer Berlin Heidelberg
Pages303-359
Number of pages57
ISBN (Print)3540303073, 9783540303077
DOIs
StatePublished - 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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    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