Abstract
Supergravities with gauged R symmetry and Minkowski vacua allow for spontaneous supersymmetry breaking and, as such, provide a framework for building supergravity models of phenomenological relevance. In this Letter, we initiate the study of double copy constructions for these supergravities. We argue that, on general grounds, we expect their scattering amplitudes to be described by a double copy of the type (spontaneously broken gauge theory)⊗ (gauge theory with broken supersymmetry). We present a simple realization in which the resulting supergravity has U(1)_{R} gauge symmetry, spontaneously broken N=2 supersymmetry, and massive gravitini. This is the first instance of a double copy construction of a gauged supergravity and of a theory with spontaneously broken supersymmetry. The construction extends in a straightforward manner to a large family of gauged Yang-Mills-Einstein supergravity theories with or without spontaneous gauge-symmetry breaking.
Highlights
Gauged supergravities—supergravities in which part of the R symmetry has been promoted to a gauge symmetry— play a central role in the diverse landscape of supersymmetric extensions of gravity
Supergravities with gauged R symmetry and Minkowski vacua allow for spontaneous supersymmetry breaking and, as such, provide a framework for building supergravity models of phenomenological relevance
On general grounds, we expect their scattering amplitudes to be described by a double copy of the type⊗
Summary
Matrices of the gauged R symmetry subgroup, acting on the two gravitini. We omitted terms involving field strengths that do not explicitly depend on gR; these are unrelated to the gauging. We need to consider a double copy construction valid for massive gravitini. If (a) two gauge theories have common mass spectra and conjugate gauge-group representations (so that gravity states can be associated with gauge-invariant bilinears of gauge-theory states [28]) and (b) the kinematic numerators (ni and ni) obey the same algebraic identities as the color factors (manifesting color-kinematics duality), . For gauge-theory amplitudes that lack manifest color-kinematics duality, generalized double copy constructions have been proposed [29]. We propose that gauged supergravities around Minkowski vacua can be presented as double copies of a spontaneously broken gauge theory and a gauge theory whose supersymmetry is explicitly broken by fermion masses. A simple realization.—To illustrate the proposed construction, we take as the left gauge theory (GTL) a scalarcoupled SUðN þ MÞ Yang-Mills (YM) theory with 4D
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