Rank-2 attractors and Deligne’s conjecture

Journal of High Energy Physics

Wenzhe Yang¹ 

[1] Stanford University, SITP, 382 Via Pueblo Mall, 94305, Stanford, CA, USA;

关键词: Black Holes in String Theory;    Superstring Vacua;    Flux compactifications;    Superstrings and Heterotic Strings;   

DOI  :  10.1007/JHEP03(2021)150

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY