Strings and Arithmetic

Gregory Moore
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Gregory Moore: Rutgers University, Department of Physics

A chapter in Frontiers in Number Theory, Physics, and Geometry II, 2007, pp 303-359 from Springer

Abstract: 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.

Keywords: Black Hole; Modulus Space; Modular Form; Heterotic String; Elliptic Genus (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-3-540-30308-4_8

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