The Statistics of Vacuum Geometry

Duncan, M., Gu, W., He, Y. & Zhou, D (2014). The Statistics of Vacuum Geometry. Journal of High Energy Physics, 2014(6), p. 42. doi: 10.1007/JHEP06(2014)042

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Abstract

We investigate the vacuum moduli space of supersymmetric gauge theories en masse by probing the space of such vacua from a statistical standpoint. Using quiver gauge theories with N = 1 supersymmetry as a testing ground, we sample over a large number of vacua as algebraic varieties, computing explicitly their dimension, degree and Hilbert series. We study the distribution of these geometrical quantities, and also address the question of how likely it is for the moduli space to be Calabi-Yau.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/12863

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