On the Stability of Non-Abelian Semi-local Vortices - INSPIRE

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On the Stability of Non-Abelian Semi-local Vortices

Roberto Auzzi
(
- Swansea U.
)
,
Minoru Eto
(
- INFN, Pisa and
- Pisa U.
)
,
Sven Bjarke Gudnason
(
- INFN, Pisa and
- Pisa U.
)
,
Kenichi Konishi
(
- INFN, Pisa and
- Pisa U.
)
,
Walter Vinci
(
- INFN, Pisa and
- Pisa U.
)

Oct, 2008

19 pages

Published in:

Nucl.Phys.B 813 (2009) 484-502

e-Print:

0810.5679 [hep-th]

DOI:

10.1016/j.nuclphysb.2008.12.024

Report number:

IFUP-TH-2008-35

View in:

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Abstract: (Elsevier)

We study the stability of non-Abelian semi-local vortices based on an N = 2 supersymmetric H = SU ( N c ) × U ( 1 ) / Z N c ∼ U ( N c ) gauge theory with an arbitrary number of flavors ( N f > N c ) in the fundamental representation, when certain N = 1 mass terms are present, making the vortex solutions no longer BPS-saturated. Local (ANO-like) vortices are found to be stable against fluctuations in the transverse directions. Strong evidence is found that the ANO-like vortices are actually the true minima. In other words, the semi-local moduli, which are present in the BPS limit, disappear in our non-BPS system, leaving the vortex with the orientational moduli C P N c − 1 only. We discuss the implications of this fact on the system in which the U ( N c ) model arises as the low-energy approximation of an underlying e.g. G = SU ( N c + 1 ) gauge theory.

vortex: stability
gauge field theory: SU(N) x U(1)/Z(N)
gauge field theory: U(N)
supersymmetry: 2
fermion: flavor
field equations: vortex
Higgs model
fibre bundle
effective action
numerical calculations

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,
Walter Vinci
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Roberto Auzzi
(
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,
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(
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,
Walter Vinci
(
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)

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•
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•
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