Deriving Projective Hyperspace from Harmonic

Details Deriving Projective Hyperspace from Harmonic Deriving Projective Hyperspace from Harmonic

2009-03-20

arxiv.org/abs/0903.3588v1

Phys.Rev.D80:045024,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

10.1103/PhysRevD.80.045024

We derive actions for projective N=2 superspace ("hyperspace") from those for harmonic hyperspace, including that for nonabelian Yang-Mills (a new result). The method uses Wick rotation of the sphere from complex conjugate coordinates to real, null ones, which can be treated as independent. The result can be considered "holographic" in that the dimension of the internal (R-symmetry) space is reduced from 2 to 1, by solving equations of motion or gauge conditions for dependence on the other coordinate. The auxiliary nature of the redundant dimension makes the hypergraph rules and evaluation almost identical.

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