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Non-Abelian strings in
N
= 1 supersymmetric QCD.
EPJ WEB OF CONFERENCES
2018. [DOI:
10.1051/epjconf/201819106003
]
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Impact Index Per Article: 0.2
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[Indexed: 11/14/2022]
Open
Abstract
Non-Abelian flux tubes (strings) are well studied in
N
= 2 supersymmetric QCD in (3+1) dimensions. In addition to translational zero modes they have also orientational moduli associated with rotations of their fluxes inside a non- Abelian group. The dynamics of the orientational moduli is described by the two dimensional CP(
N
- 1) model living on the world sheet of the non-Abelian string. In this paper we consider a deformation of N = 2 supersymmetric QCD with the U(
N
) gauge group and
N
f
=
N
quark flavors with a mass term μ of the adjoint matter. In the limit of large
μ
the theory flows to an
N
= 1 supersymmetric QCD. We study the solution for the non-Abelian string in this limit and derive an effective theory on the string world sheet. The bosonic sector of this theory is still given by the CP(
N
-1) model. We study also the fermionic sector of the world sheet theory. Upon the deformation the non-Abelian string is no longer BPS and we show that the fermionic superorientational zero modes are all lifted. This leaves us with the pure bosonic CP(
N
-1) model on the string world sheet in the limit of
N
= 1 QCD. We discuss what happens to confined monopoles at large μ.
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