Motives: an introductory survey for physicists
High Energy Physics - Theory
2012-07-24 v2 Mathematical Physics
math.MP
Abstract
We survey certain accessible aspects of Grothendieck's theory of motives in arithmetic algebraic geometry for mathematical physicists, focussing on areas that have recently found applications in quantum field theory. An appendix (by Matilde Marcolli) sketches further connections between motivic theory and theoretical physics.
Keywords
Cite
@article{arxiv.0907.4046,
title = {Motives: an introductory survey for physicists},
author = {Abhijnan Rej and Matilde Marcolli},
journal= {arXiv preprint arXiv:0907.4046},
year = {2012}
}
Comments
LaTeX 35 pages, article by Abhijnan Rej with an appendix by M.Marcolli. Version II/Final: cosmetic changes to bibliography, added a small subsection on triangulated categories to section 6. Accepted for publication in the MPIM-Bonn "Renormalization, combinatorics and physics" proceedings volume