Vortex-type Half-BPS Solitons in ABJM Theory

Vortex-type Half-BPS Solitons in ABJM Theory
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ABJM理论中的涡旋型半BPS孤子

DOI：
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发表时间：
2009
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通讯作者：
H. Nakajima
H. Nakajima
中科院分区：
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文献类型：
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作者：
Chanju Kim;Yoonbai Kim;O;H. Nakajima

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我们研究了有和无质量形变的Aharony-Bergman-Jafferis-Maldacena（ABJM）理论。结果表明，单个质量参数的最大超对称性保持、D项和F项质量变形是等效的。我们得到了涡型半BPS方程和相应的能量界。对于未变形的ABJM理论，得到的半BPS方程与超对称Yang-Mills理论的半BPS方程相同，且不存在有限能量正则BPS解;对于质量变形的ABJM理论，U（2）×U（2）情形的半BPS方程约化为Maxwell-Higgs理论的涡旋方程，支持静态正则多涡旋解。在U（N）×U（N）且N > 2的情况下，得到了Yang-Mills-Higgs理论的非交换涡旋方程。
We study Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain vortex-type halfBPS equations and the corresponding energy bound. For the undeformed ABJM theory, the resulting half-BPS equation is the same as that in supersymmetric Yang-Mills theory and no finite energy regular BPS solution is found. For the mass-deformed ABJM theory, the halfBPS equations for U(2)×U(2) case reduce to the vortex equation in Maxwell-Higgs theory, which supports static regular multi-vortex solutions. In U(N)×U(N) case with N > 2 the nonabelian vortex equation of Yang-Mills-Higgs theory is obtained.