1. Rank-2 attractors and Deligne's conjecture.
- Author
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Yang, Wenzhe
- Subjects
STRING theory ,NUMBER theory ,LOGICAL prediction ,ATTRACTORS (Mathematics) ,L-functions ,OPEN-ended questions - Abstract
In this paper, we will study the arithmetic geometry of rank-2 attractors, which are Calabi-Yau threefolds whose Hodge structures admit interesting splits. We will develop methods to analyze the algebraic de Rham cohomologies of rank-2 attractors, and we will illustrate how our methods work by focusing on an example in a recent paper by Candelas, de la Ossa, Elmi and van Straten. We will look at the interesting connections between rank-2 attractors in string theory and Deligne's conjecture on the special values of L-functions. We will also formulate several open questions concerning the potential connections between attractors in string theory and number theory. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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