Deriving projective hyperspace from harmonic

Journal Article · Sat Aug 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.045024· OSTI ID:21322520

Jain, Dharmesh; Siegel, Warren ^[1]

---

1. C. N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794-3840 (United States)

We derive actions for projective N=2 superspace ('hyperspace') from those for harmonic hyperspace, including that for non-Abelian Yang-Mills theory (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.

• OSTI ID: 21322520
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevD.80.045024; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EQUATIONS OF MOTION
EVALUATION
GRAPH THEORY
HOLOGRAPHY
MATHEMATICAL SOLUTIONS
ROTATION
SPHERES
SYMMETRY
YANG-MILLS THEORY