$\mathrm{I}\mathrm{S}\mathrm{I}\mathrm{M}(2)$ gravitational gauge model via Soft Algebra formalism

This work presents a comprehensive account of a gravitational model based on the gauging of the $\mathrm{I}\mathrm{S}\mathrm{I}\mathrm{M}(2)$ Lorentz subgroup parameters through the so-called soft algebra formalism. After presenting a closed form for $\mathfrak{s}\mathfrak{i}\mathfrak{m}(2)$ and its inhomogeneous extension, we proceed to develop a complete torsionless gravitational model, culminating in an invariant action.