• Corpus ID: 234357709

The resolution of Euclidean massless field operators of higher spins on $\Bbb R^6$ and the $L^2$ method

@inproceedings{Kang2021TheRO,
  title={The resolution of Euclidean massless field operators of higher spins on \$\Bbb R^6\$ and the \$L^2\$ method},
  author={Qianqian Kang and Wei Wang and Yuchen Zhang},
  year={2021}
}
The resolution of 4-dimensional massless field operators of higher spins was constructed by Eastwood-Penrose-Wells by using the twistor method. Recently physicists are interested in 6dimensional physics including the massless field operators of higher spins on Lorentzian space R. Its Euclidean version D0 and their function theory are discussed in [14]. In this paper, we construct an exact sequence of Hilbert spaces as weighted L spaces resolving D0: L 2 φ(R 6 ,V0) D0 −→ L 2 φ(R 6 ,V1) D1 −→ L 2… 

References

SHOWING 1-10 OF 28 REFERENCES
k-Monogenic Functions Over 6-Dimensional Euclidean Space
Recently, physicists are interested in 6-dimensional physics including the massless field operators on Lorentzian space $$\mathbb R^{5,1}$$R5,1. The elliptic version $$\mathcal {D}_{k}$$Dk of these
Cohomology and massless fields
The geometry of twistors was first introduced in Penrose [28]. Since that time it has played a significant role in solutions of various problems in mathemetical physics of both a linear and nonlinear
Hilbert space methods in the theory of harmonic integrals
The theory of harmonic integrals was created by Hodge [15], and the theorem which bears his name is the central result of the subject. Kodaira [17] and-independently-de Rham and Bidal [1] used the
Clifford Analysis for Higher Spins
Higher spin analogues of the (massless) wave and Dirac equation on Minkowski space are well understood in dimension 4. They appear usually under the name massless field equations. In the paper,
On the weighted L2 estimate for the k-Cauchy–Fueter operator and the weighted k-Bergman kernel
On Twistors and Conformal Field Theories from Six Dimensions
We discuss chiral zero-rest-mass field equations on six-dimensional space-time from a twistorial point of view. Specifically, we present a detailed cohomological analysis, develop both Penrose and
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