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arxiv: 1103.5914 · v2 · pith:A2QAACROnew · submitted 2011-03-30 · ✦ hep-th

N=2 Conformal Superspace in Four Dimensions

classification ✦ hep-th
keywords superspaceconformalexistingformulationfourgeometryalgebracalculus
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We develop the geometry of four dimensional N=2 superspace where the entire conformal algebra of SU(2,2|2) is realized linearly in the structure group rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries, extending to N=2 our prior result for N=1 superspace. This formulation explicitly lifts to superspace the existing methods of the N=2 superconformal tensor calculus; at the same time the geometry, when degauged to SL(2,C) x U(2)_R, reproduces the existing formulation of N=2 conformal supergravity constructed by Howe.

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