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

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 4 D , N = 2 Einstein supergravity invariants. The supercu...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. D 2024-09, Vol.110 (6), Article 066020
Main Authors: Ivanov, Evgeny, Zaigraev, Nikita
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 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 α ˙ , 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.110.066020