Twistor Actions for Self-Dual Supergravities
Twistor Actions for Self-Dual Supergravities
复制标题
自对偶超重力的扭转动作
DOI：
10.1007/s00220-009-0732-5
复制
发表时间：
2007
影响因子：
2.4
通讯作者：
Martin Wolf
中科院分区：
文献类型：
--
作者：
L. Mason;Martin Wolf
我们给出了四维自对偶超引力理论在超扭量空间上的全纯Chern-Simons作用泛函，处理$${\mathcal{N} = 0，\ldots，8}$$超对称性，R-对称性的不同部分被测量的情况，以及有或没有宇宙学常数。规范群的形式是超扭量空间的全纯泊松变换群，其中泊松结构的形式决定了R对称性的规范量和宇宙常数的值。我们给出了超扭量空间上的可积$${\bar\partial}$$ -算子的有限变形形式，即，在$${\mathbb{CP}^{3| 8}}$$。对于$${\mathcal{N}=0}$$，我们也给出了一个不需要选择背景的公式。
We give holomorphic Chern-Simons-like action functionals on supertwistor space for self-dual supergravity theories in four dimensions, dealing with $${\mathcal{N} = 0,\ldots,8}$$ supersymmetries, the cases where different parts of the R-symmetry are gauged, and with or without a cosmological constant. The gauge group is formally the group of holomorphic Poisson transformations of supertwistor space where the form of the Poisson structure determines the amount of R-symmetry gauged and the value of the cosmological constant. We give a formulation in terms of a finite deformation of an integrable $${\bar\partial}$$ -operator on a supertwistor space, i.e., on regions in $${\mathbb{CP}^{3|8}}$$ . For $${\mathcal{N}=0}$$ , we also give a formulation that does not require the choice of a background.