Numerical algebraic geometry: a new perspective on gauge and string theories

Mehta, D., He, Y. & Hauenstein, J. (2012). Numerical algebraic geometry: a new perspective on gauge and string theories. Journal of High Energy Physics, 2012(7), p. 18. doi: 10.1007/JHEP07(2012)018

[img]
Preview
Text - Accepted Version
Download (396kB) | Preview

Abstract

There is a rich interplay between algebraic geometry and string and gauge theories which has been recently aided immensely by advances in computational algebra. However, symbolic (Gröbner) methods are severely limited by algorithmic issues such as exponential space complexity and being highly sequential. In this paper, we introduce a novel paradigm of numerical algebraic geometry which in a plethora of situations overcomes these shortcomings. The so-called ‘embarrassing parallelizability’ allows us to solve many problems and extract physical information which elude symbolic methods. We describe the method and then use it to solve various problems arising from physics which could not be otherwise solved.

Item Type: Article
Uncontrolled Keywords: Strings and branes phenomenology, Supersymmetry Phenomenology
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/12874

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics