Nonlinear Realization of Partially Broken N=2 Superconformal Symmetry in Four Dimensions

TL;DR

This paper explores the nonlinear realization of spontaneously broken N=2 superconformal symmetry in four dimensions, deriving effective Lagrangians for Nambu-Goldstone multiplets associated with partial symmetry breaking.

Contribution

It presents a novel analysis of N=2 superconformal symmetry breaking to N=1 super-Poincaré, including explicit construction of covariant differentials and effective Lagrangians.

Findings

Identification of Nambu-Goldstone multiplets for broken symmetries

Derivation of nonlinear effective Lagrangians in superspace

Explicit construction of covariant supervielbeins

Abstract

We investigate the nonlinear realization of spontaneously broken N=2 superconformal symmetry in 4 dimensions. We particularly study Nambu-Goldstone degrees of freedom for the partial breaking of N=2 superconformal symmetry down to N=1 super-Poincar{\'e} symmetry, where we get the chiral NG multiplet of dilaton and the vector NG multiplet of NG fermion of broken Q-supersymmetry. Evaluating the covariant differentials and supervielbeins for the chiral as well as the full superspace, we obtain the nonlinear effective lagrangians.