ABJM models in = 3 harmonic superspace

ABJM models in = 3 harmonic superspace
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= 3 谐波超空间中的 ABJM 模型

DOI:
10.1088/1126-6708/2009/03/096
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发表时间:
2008
影响因子:
5.4
通讯作者:
B. Zupnik
B. Zupnik
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
I. Buchbinder;E. Ivanov;Olaf Lechtenfeld;N. Pletnev;I. Samsonov;I. Samsonov;B. Zupnik

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在= 3,d = 3调和超空间中构造了Aharony-Bergman-Jafferis-Maldacena(ABJM)模型的经典作用量.在这样的公式中,六个超对称中有三个是在壳外实现的,而其他三个混合了超场并靠近壳。超场作用量涉及规范群的双基本表象中的两个超多重态超场和对应于左右规范群的两个Chern-Simons规范超场。= 3的超共形不变性只允许超多重态的最小规范相互作用。令人惊讶的是,在消除辅助场之后,ABJM的正确的六次标量势出现了。除了原来的U(N)× U(N)ABJM模型外,我们还构造了一些推广的= 3超场公式。对于SU(2)× SU(2)情形,我们给出了其增强的= 8超对称性和SO(8)R对称性的简单超场证明。
We construct the classical action of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model in the = 3, d = 3 harmonic superspace. In such a formulation three out of six supersymmetries are realized off shell while the other three mix the superfields and close on shell. The superfield action involves two hypermultiplet superfields in the bifundamental representation of the gauge group and two Chern-Simons gauge superfields corresponding to the left and right gauge groups. The = 3 superconformal invariance allows only for a minimal gauge interaction of the hypermultiplets. Amazingly, the correct sextic scalar potential of ABJM emerges after the elimination of auxiliary fields. Besides the original U(N) × U(N) ABJM model, we also construct = 3 superfield formulations of some generalizations. For the SU(2) × SU(2) case we give a simple superfield proof of its enhanced = 8 supersymmetry and SO(8) R-symmetry.
DOI: 10.1088/0264-9381/25/24/245003
发表时间: 2008-06
影响因子: 3.5
作者:
I. Bandos;P. Townsend
通讯作者: I. Bandos;P. Townsend