ARITHMETIC SPACE–TIME GEOMETRY FROM STRING THEORY

Author:

SCHIMMRIGK ROLF1

Affiliation:

1. Indiana University South Bend, 1700 Mishawaka Ave., South Bend, IN 46634, USA

Abstract

An arithmetic framework for string compactification is described. The approach is exemplified by formulating a strategy that allows to construct geometric compactifications from exactly solvable theories at c = 3. It is shown that the conformal field theoretic characters can be derived from the geometry of space–time, and that the geometry is uniquely determined by the two-dimensional field theory on the worldsheet. The modular forms that appear in these constructions admit complex multiplication, and allow an interpretation as generalized McKay–Thompson series associated to the Mathieu and Conway groups. This leads to a string motivated notion of arithmetic moonshine.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On flux vacua and modularity;Journal of High Energy Physics;2020-09

2. String-Theory Realization of Modular Forms for Elliptic Curves with Complex Multiplication;Communications in Mathematical Physics;2019-02-22

3. AUTOMORPHIC BLACK HOLE ENTROPY;Modern Physics Letters A;2013-09-25

4. K-RATIONAL D-BRANE CRYSTALS;International Journal of Modern Physics A;2012-08-30

5. Emergent Spacetime from Modular Motives;Communications in Mathematical Physics;2011-02-25

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