Weyl's Gauge Invariance: Conformal Geometry, Spinors, Supersymmetry, and Interactions
Weyl's Gauge Invariance: Conformal Geometry, Spinors, Supersymmetry, and Interactions
复制标题
外尔规范不变性：共形几何、旋量、超对称性和相互作用
DOI：
10.1016/j.nuclphysb.2009.11.020
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
A. Waldron
中科院分区：
文献类型：
--
作者：
A. Shaukat;A. Waldron
我们扩展我们的程序，耦合理论的规模，以使他们的外尔不变性的表现，包括相互作用的理论，费米子和超对称理论。结果产生的质量项与爱因斯坦宇宙的标准项一致，但在一般背景下是新颖的。它们是共形改进标量场与一般尺度和张量性质的引力耦合的推广。我们发现的耦合是更一般的，而不仅仅是平凡的共形补偿机制。特别地，在包括标度规场（或称标量场）的设置中，质量对应于以“拖拉机”多重态组织的场的外尔权重。Breitenlohner-Freedman界限直接从这些权重的现实中得出。此外，有质量，无质量和部分无质量的理论是在一个统一的框架处理。此外，真正的外尔不变量理论（不耦合到规模）可以直接在这种方法中导出。结果是基于拖拉机演算方法共形几何，特别是我们展示了如何处理费米场，超对称性和Killing旋量使用拖拉机技术。另一个有用的结果的建设是，它自动产生（反）德西特理论所获得的对数径向减少闵可夫斯基理论在一个更高的维度。详细介绍的理论包括相互作用的标量，旋量，Rarita Schwinger场，和相互作用的Wess-Zumino模型。
We extend our program, of coupling theories to scale in order to make their Weyl invariance manifest, to include interacting theories, fermions and supersymmetric theories. The results produce mass terms coinciding with the standard ones for universes that are Einstein, but are novel in general backgrounds. They are generalizations of the gravitational couplings of a conformally improved scalar to fields with general scaling and tensor properties. The couplings we find are more general than just trivial ones following from the conformal compensating mechanisms. In particular, in the setting where a scale gauge field (or dilaton) is included, masses correspond to Weyl weights of fields organized in “tractor” multiplets. Breitenlohner–Freedman bounds follow directly from reality of these weights. Moreover, massive, massless and partially massless theories are handled in a uniform framework. Also, bona fide Weyl invariant theories (invariant without coupling to scale) can be directly derived in this approach. The results are based on the tractor calculus approach to conformal geometry, in particular we show how to handle Fermi fields, supersymmetry and Killing spinors using tractor techniques. Another useful consequence of the construction is that it automatically produces the (anti-) de Sitter theories obtained by log-radial reduction of Minkowski theories in one higher dimension. Theories presented in detail include interacting scalars, spinors, Rarita–Schwinger fields, and the interacting Wess–Zumino model.
CR 不变量的环境度量构造
DOI：
--
发表时间：
2007
期刊：
IMA in Math.and Appl. 144
影响因子：
--
作者：
M.E.Dokukin;K.Togo;and M.Inoue;武田 三男;K. Hirachi
通讯作者：
K. Hirachi
偏微分方程的对称性和超定系统中 CR 不变微分算子的环境度量构造
DOI：
--
发表时间：
2008
期刊：
The IMA volumes in mathematics and its applications 144
影响因子：
--
作者：
J. Sato;H. Kawasaki;K. Hirachi
通讯作者：
K. Hirachi
影响因子：
1.3
作者：
HIGUCHI, A
通讯作者：
HIGUCHI, A