Intervals of <i>s</i>-torsion pairs in extriangulated categories with negative first extensions

Abstract As a general framework for the studies of t -structures on triangulated categories and torsion pairs in abelian categories, we introduce notions extriangulated with negative first extensions s -torsion pairs. We define heart an interval poset pairs, which naturally becomes category extension. This notion generalises hearts twin categories. In this paper, show that is bijectively associated corresponding heart. bijection unifies two well-known bijections: one induced by HRS-tilt The other Asai–Pfeifer’s Tattar’s bijections category, related to $\tau$ -tilting reduction brick labelling.