On exact noncommutative BPS solitons

Hamanaka, Masashi; Terashima, Shiro

doi:10.1088/1126-6708/2001/03/034

Cited by 34 publications

(34 citation statements)

References 25 publications

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“…In particular, supersymmetries will not be preserved even partially for the sector of nonvanishing flux with θv 2 > 1. We like to finally mention that our investigations may be applicable to other exact solutions recently found [14,15,16,17].…”

Section: Discussionmentioning

confidence: 68%

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Noncommutative vortex solitons

2001

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We consider the noncommutative Abelian-Higgs theory and investigate general static vortex configurations including recently found exact multi-vortex solutions. In particular, we prove that the self-dual BPS solutions cease to exist once the noncommutativity scale exceeds a critical value. We then study the fluctuation spectra about the static configuration and show that the exact non BPS solutions are unstable below the critical value. We have identified the tachyonic degrees as well as massless moduli degrees. We then discuss the physical meaning of the moduli degrees and construct exact time-dependent vortex configurations where each vortex moves independently. We finally give the moduli description of the vortices and show that the matrix nature of moduli coordinates naturally emerges.

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Section: Discussionmentioning

confidence: 68%

“…(For soliton solutions of some other models, see Ref. [11,12,13,14,15,16,17].) Certain apparent properties of the noncommutative vortices are striking even in their static properties.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative vortex solitons

2001

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“…The same argument as above shows that this will be a solution for any U . This "solution generating technique" has been used to generate many exact solutions (Hamanaka and Terashima, 2001;Harvey et al, 2000a;Hashimoto, 2000;Schnabl, 2000;Tseng, 2000;Bergman, Ganor, and Karczmarek, 2001). …”

Section: B Vortex Solutions In Gauge Theoriesmentioning

confidence: 99%

Noncommutative field theory

Douglas¹,

Nekrasov²

2001

Rev. Mod. Phys.

2,034

2,552

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We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. Submitted to Reviews of Modern Physics.

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“…Some solutions in [11,12,13,14,15,16,17,18] have been constructed by using the operator formalism. These are different from the solutions discussed in section 4.…”

Section: The Action Functional and The Vortex Equationsmentioning

confidence: 99%

Are vortex numbers preserved?

Maeda¹,

Sako²

2008

Journal of Geometry and Physics

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We study noncommutative vortex solutions that minimize the action functional of the Abelian Higgs model in 2-dimensional noncommutative Euclidean space. We first consider vortex solutions which are deformed from solutions defined on commutative Euclidean space to the noncommutative one. We construct solutions whose vortex numbers are unchanged under the noncommutative deformation. Another class of noncommutative vortex solutions via a Fock space representation is also studied.

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On exact noncommutative BPS solitons

Cited by 34 publications

References 25 publications

Noncommutative vortex solitons

Noncommutative vortex solitons

Noncommutative field theory

Are vortex numbers preserved?

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