Background Harmonic Superfields in N=2 Supergravity

Abstract

A modification of the harmonic superfield formalism in $D=4,N=2$ supergravity using a subsidiary condition of covariance under the background supersymmetry with a central charge ($B$-covariance) is considered. Conservation of analyticity together with the $B$-covariance leads to the appearance of linear gravitational superfields. Analytic prepotentials arise in a decomposition of the background linear superfields in terms of spinor coordinates and transform in a nonstandard way under the background supersymmetry. The linear gravitational superfields can be written via spinor derivatives of nonanalytic spinor prepotentials. The perturbative expansion of the extended supergravity action in terms of the $B$-covariant superfields and the corresponding version of the differential-geometric formalism are considered. We discuss the dual harmonic representation of the linearized extended supergravity, which corresponds to the dynamical condition of Grassmann analyticity.

Latex file, 17 pages with corrections of misprints

References in corpus (2)

• Effective Action of the N = 2 Maxwell Multiplet in Harmonic Superspace
• Induced hypermultiplet self-interactions in N=2 gauge theories

Cited by in corpus (9)

• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• Electrified Fuzzy Spheres and Funnels in Curved Backgrounds
• $\mathcal{N}=2$ superconformal higher-spin multiplets and their hypermultiplet couplings
• Off-shell invariants of linearized $4D,\mathcal{N}=2$ supergravity in the harmonic approach
• $\mathcal{N}=2$ higher-spin supercurrents
• Unconstrained $\mathcal{N}=2$ higher-spin gauge superfields and their hypermultiplet couplings
• $\mathcal{N}=2$ superconformal gravitino in harmonic superspace