Journal article 874 views
Sitting on the domain Walls of Script N = 1 super Yang-Mills
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Timothy Hollowood
Journal of High Energy Physics, Volume: "07", Issue: 07, Pages: 043 - 043
Swansea University Authors:
Adi Armoni , Timothy Hollowood
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DOI (Published version): 10.1088/1126-6708/2005/07/043
Abstract
In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means that a configuration of k parallel domain walls is described...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2005
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa28530 |
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| Abstract: |
In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means that a configuration of k parallel domain walls is described by a 2+1-dimensional U(k) gauge theory. This theory has been identified by Acharya and Vafa as the U(k) gauge theory with 4 supercharges broken by a Chern-Simons term of level N in such a way that 2 supercharges are preserved. We argue further that the gauge coupling of the domain wall gauge theory goes like g^2 ~ Lambda/N, for large N. In the case of two domain walls, we show that the U(2) world-volume theory generates a quadratic potential on the Coulomb branch at two loops in perturbation theory which is consistent with there being a supersymmetric bound state of the two wall system. A mass gap of order Lambda/N is generated around the supersymmetric minimum and we estimate the size of the bound-state to be order Lambda/ \sqrt N. At large distance the potential reaches a constant that can qualitatively account for the binding energy of the two walls even though stringy effects are not, strictly speaking, |
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| College: |
Faculty of Science and Engineering |
| Issue: |
07 |
| Start Page: |
043 |
| End Page: |
043 |