Les Houches Lectures on Strings and Arithmetic

Details Les Houches Lectures on Strings and Arithmetic Les Houches Lectures on Strings and Arithmetic

2004-01-08

arxiv.org/abs/hep-th/0401049v4

Physics

High Energy Physics

High Energy Physics - Theory

61pp. harvmac b-mode, 3 figures;v2: minor changes;v3: added refs; v4: Important mistake concerning the ``Fareytail transform''

Scientific paper

These are lecture notes for two lectures delivered at the Les Houches workshop on Number Theory, Physics, and Geometry, March 2003. 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.

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