Off-shell invariants of linearized 4D,N=2 supergravity in the harmonic approach

Jul 11, 2024
36 pages
Published in:
  • Phys.Rev.D 110 (2024) 6, 066020
  • Published: Sep 15, 2024
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Abstract: (APS)
Using the harmonic superspace approach, we construct, at the linearized level, N=2 supersymmetric curvatures generalizing scalar curvature, Ricci curvature and Weyl tensor. These supercurvatures are the building blocks of various linearized 4D,N=2 Einstein supergravity invariants. The supercurvatures involving the scalar and Ricci curvatures are analytic harmonic N=2 superfields, while the Weyl supertensor is a chiral N=2 superfield. As the basic distinguished feature of our construction, all these objects are expressed through the fundamental analytic gauge prepotentials h++M,M=(αα˙,α+,α˙+,5). The related characteristic features are the heavy use of harmonic derivatives and harmonic zero-curvature equations. On a number of instructive examples, we describe the component reduction of the superfield invariants constructed.
Note:
  • 0 + 36 pages, some claryfing comments and references added, typos corrected; published version