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High Energy Physics - Theory

arXiv:1702.01955 (hep-th)
[Submitted on 7 Feb 2017 (v1) , last revised 14 Feb 2017 (this version, v2)]

Title: Couplings in D(2,1;a) superconformal mechanics from the SU(2) perspective

Title: 从SU(2)角度出发的D(2,1;a)超共形力学中的耦合项

Authors:Anton Galajinsky
Abstract: Dynamical realizations of the most general N=4 superconformal group in one dimension D(2,1;a) are reconsidered from the perspective of the R-symmetry subgroup SU(2). It is shown that any realization of the R-symmetry subalgebra in some phase space can be extended to a representation of the Lie superalgebra corresponding to D(2,1;a). Novel couplings of arbitrary number of supermultiplets of the type (1,4,3) and (0,4,4) with a single supermultiplet of either the type (3,4,1), or (4,4,0) are constructed. D(2,1;a) superconformal mechanics describing superparticles propagating near the horizon of the extreme Reissner-Nordstrom-AdS-dS black hole in four and five dimensions is considered. The parameter a is linked to the cosmological constant.
Abstract: 从 R 对称子群 SU(2) 的角度来看,重新考虑了一维最广义的 N=4 超共形群 D(2,1;a) 的动力学实现。 证明了相空间中 R 对称子代数的任意实现都可以扩展为对应于 D(2,1;a) 的李超代数表示。 构建了任意数量的类型 (1,4,3) 和 (0,4,4) 超多重态与单一类型 (3,4,1) 或 (4,4,0) 超多重态之间的新耦合。 研究了描述超粒子在极端四维和五维 Reissner-Nordstrom-AdS-dS 黑洞视界附近传播的 D(2,1;a) 超共形力学。 参数 a 与宇宙常数相关联。
Comments: V2:15 pages. Lagrangian formulations in Sect. 3, one reference and acknowledgement added
Subjects: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
Cite as: arXiv:1702.01955 [hep-th]
  (or arXiv:1702.01955v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1702.01955
arXiv-issued DOI via DataCite
Related DOI: https://doi.org/10.1007/JHEP03%282017%29054
DOI(s) linking to related resources

Submission history

From: Anton Galajinsky [view email]
[v1] Tue, 7 Feb 2017 10:51:29 UTC (11 KB)
[v2] Tue, 14 Feb 2017 07:09:37 UTC (12 KB)
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