Submissions from Daniel A. G. Goldberger

[1]  faKiv:2403.08173 [pdf]
Symmetric $\mathcal{N}=4$ supergravity in the presence of a scalar field
Comments: 12 pages, 3 figures

We study $\mathcal{N}=4$ supergravity in the presence of a scalar field. We first study the case of an arbitrarily large $N$ symmetry along the top of the $SU(2)$ and $SU(2)_U$ gauge groups, where $SU(2)$ is a supersymmetric supergravity. Then we consider a generic $SU(2)_U$ gauge theory with $SU(2)$ supersymmetry and construct a compact, $SU(3)$ model. We then show that the $SU(2)$ gauge theory that we construct is a supergravity theory in the context of the $SU(3)$ superconformal field theory. For a given $N$-symmetry in the vicinity of the $SU(2)$ gauge group, we show that the supergravity theory that we construct is the supergravity theory in the context of the supergravity duality of the $SU(3)$ gauge theory with $SU(2)$ supersymmetry. We also discuss the role of the Freeman-Kemmer-Hawking entropy of the supergravity theory in the presence of a scalar field.