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Rank-2 attractors and Deligne’s conjecture
- Source :
- Journal of High Energy Physics, Vol 2021, Iss 3, Pp 1-22 (2021)
- Publication Year :
- 2021
- Publisher :
- SpringerOpen, 2021.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2021
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.77e867bc77394698ac9494012515722d
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP03(2021)150