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arXiv · 1411.3927

Confining Strings in Supersymmetric Theories with Higgs Branches

Mikhail Shifman·Gianni Tallarita·Alexei Yung
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Abstract

We study flux tubes (strings) on the Higgs branches in supersymmetric gauge theories. In generic vacua on the Higgs branches strings were shown to develop long-range "tails" associated with massless fields, a characteristic feature of the Higgs branch (the only exception is the vacuum at the base of the Higgs branch). A natural infrared regularization for the above tails is provided by a finite string length L. We perform a numerical study of these strings in generic vacua. We focus on the simplest example of strings in N=1 supersymmetric QED with the Fayet-Iliopoulos term. In particular, we examine the accuracy of a logarithmic approximation (proposed earlier by Evlampiev and Yung) for the tension of such string solutions. In the Evlampiev-Yung formula the dependence of tension on the string length is logarithmic and the dependence on the geodesic length from the base of the Higgs branch is quadratic. We observe a remarkable agreement of our numerical results for the string tension with the Evlampiev-Yung analytic expression.

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Mikhail Shifman, Gianni Tallarita, Alexei Yung. 2015-02-12. Confining Strings in Supersymmetric Theories with Higgs Branches. https://doi.org/10.1103/physrevd.91.065005

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