Tootfinder

The presentable stable envelope of an exact category
Christoph Winges, Marius Nielsen
https://arxiv.org/abs/2506.02598 https://arxiv.…

The presentable stable envelope of an exact category
We prove an analogue of the Gabriel--Quillen embedding theorem for exact $\infty$-categories, giving rise to a presentable version of Klemenc's stable envelope of an exact $\infty$-category. Moreover, we construct a symmetric monoidal structure on the $\infty$-category of small exact $\infty$-categories and discuss the multiplicative properties of the Gabriel--Quillen embedding. For $E$ an Adams-type homotopy associative ring spectrum, this allows us to identify the symmetric monoidal $\infty$-…

Soft theorems of tree-level ${\rm Tr}(\phi^3)$, YM and NLSM amplitudes from $2$-splits
Kang Zhou
https://arxiv.org/abs/2506.00747 https://

Soft theorems of tree-level ${\rm Tr}(ϕ^3)$, YM and NLSM amplitudes from $2$-splits
In this paper, we extend the method proposed in \cite{Arkani-Hamed:2024fyd} for deriving soft theorems of amplitudes, which relies exclusively on factorization properties including conventional factorizations on physical poles, as well as newly discovered $2$-splits on special loci in kinematic space. Using the extended approach, we fully reproduce the leading and sub-leading single-soft theorems for tree-level ${\rm Tr}(ϕ^3)$ and Yang-Mills (YM) amplitudes, along with the leading and sub-lead…