Off-shell invariants of linearized <math display="inline"><mn>4</mn><mi>D</mi><mo>,</mo><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math> supergravity in the harmonic approach

supersymmetric curvatures generalizing scalar curvature, Ricci curvature and Weyl tensor. These supercurvatures are the building blocks of various linearized

4 D, 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 = (α \dot{α}, α +, \dot{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

References(66)

Figures(0)

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

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