Off-shell invariants of linearized supergravity in the harmonic approach
Jul 11, 202436 pages
Published in:
- Phys.Rev.D 110 (2024) 6, 066020
- Published: Sep 15, 2024
e-Print:
- 2407.08524 [hep-th]
DOI:
- 10.1103/PhysRevD.110.066020 (publication)
View in:
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Abstract: (APS)
Using the harmonic superspace approach, we construct, at the linearized level, supersymmetric curvatures generalizing scalar curvature, Ricci curvature and Weyl tensor. These supercurvatures are the building blocks of various linearized Einstein supergravity invariants. The supercurvatures involving the scalar and Ricci curvatures are analytic harmonic superfields, while the Weyl supertensor is a chiral superfield. As the basic distinguished feature of our construction, all these objects are expressed through the fundamental analytic gauge prepotentials . 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
References(66)
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