Supertwistor space for 6D maximal super Yang-Mills

Supertwistor space for 6D maximal super Yang-Mills
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6D 最大超杨米尔斯的超级扭曲空间

DOI:
10.1007/jhep04(2010)127
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发表时间:
2009
影响因子:
5.4
通讯作者:
W. Siegel
W. Siegel
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Tristan Dennen;Yu;W. Siegel

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利用6维旋量在超空间中给出了6维最大超Yang-Mills壳层振幅的表达式。3,4,5点树振幅通过超对称化它们的玻色子对应物而获得,并通过BCFW构造来确认。与4维相比,这个超空间是非手征的,反映了一个事实,即在6维中不能区分MHV和$ \overline {\text{MHV}} $。结合么正性方法,该超空间将有助于研究多圈D维最大超Yang-Mills和引力振幅。此外,非手性性质为离壳结构提供了自然框架。我们通过将我们的结果与在射影超空间中表示的离壳D=4 N=4超杨-米尔斯振幅相匹配来证明这一点。
Abstract6 dimensional maximal super Yang-Mills on-shell amplitudes are formulated in superspace using 6 dimensional spinors. The 3,4,5-point tree amplitudes are obtained by supersymmetrizing their bosonic counterparts and confirmed through the BCFW construction. In contrast to 4 dimensions this superspace is non-chiral, reflecting the fact that one cannot differentiate MHV from $ \overline {\text{MHV}} $ in 6 dimensions. Combined with unitarity methods, this superspace should be useful for the study of multi-loop D dimensional maximal super Yang-Mills and gravity amplitudes. Furthermore, the non-chiral nature gives a natural framework for an off-shell construction. We show this by matching our result with off-shell D=4 N=4 super Yang-Mills amplitudes, expressed in projective superspace.
DOI: 10.1007/jhep01(2010)064
发表时间: 2009-03
影响因子: 5.4
作者:
L. Mason;David Skinner
通讯作者: L. Mason;David Skinner