No Cover Image

Journal article 943 views

Monopoles, affine algebras and the gluino condensate

Valentin V. Khoze, N. Michael Davies, Timothy Hollowood Orcid Logo

Journal of Mathematical Physics, Volume: "44", Issue: 8, Pages: 3640 - 3656

Swansea University Author: Timothy Hollowood Orcid Logo

Full text not available from this repository: check for access using links below.

Check full text

DOI (Published version): 10.1063/1.1586477

Abstract

We examine the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculate the values of the gluino condensate for all simple gauge groups. By initially compactifying the theory on a cylinder we are able to perform calculations in a controlled weakly-coupled way for small rad...

Full description

Published in: Journal of Mathematical Physics
ISSN: 00222488
Published: 2000
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28551
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: We examine the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculate the values of the gluino condensate for all simple gauge groups. By initially compactifying the theory on a cylinder we are able to perform calculations in a controlled weakly-coupled way for small radius. The dominant contributions to the path integral on the cylinder arise from magnetic monopoles which play the role of instanton constituents. We find that the semi-classically generated superpotential of the theory is the affine Toda potential for an associated twisted affine algebra. We determine the supersymmetric vacua and calculate the values of the gluino condensate. The number of supersymmetric vacua is equal to c_2, the dual Coxeter number, and in each vacuum the monopoles carry a fraction 1/c_2 of topological charge. As the results are independent of the radius of the circle, they are also valid in the strong coupling regime where the theory becomes decompactified. In this way we obtain values for the gluino condensate which for the classical gauge groups agree with previously known ``weak coupling instanton'' expressions (but not with the ``strong coupling instanton'' calculations). This detailed agreement provides further evidence in favour of the recently advocated resolution of the the gluino condensate puzzle. We also make explicit predictions for the gluino condensate for the exceptional
College: Faculty of Science and Engineering
Issue: 8
Start Page: 3640
End Page: 3656