2-group symmetries arise in physics when a 0-form symmetry $G^{[0]}$ and 1-form $H^{[1]}$ intertwine, forming generalised group-like structure. Specialising to the case where both are compact, connected, abelian groups (i.e. tori), we analyse anomalies such `toric symmetries' using cobordism classification. As warm up example, use study various 't Hooft (and phases which they dual) Maxwell theo...

The aim of this paper is to obtain a group-2-groupoid as 2-groupoid object in the category groups and also special kind an internal group-groupoids. Corresponding group-2-groupoids, we some categorical structures related crossed modules group-groupoids prove equivalences between them. These results enable us 2-dimensional notions

Introduction: Care providers consistently report negative consequences to their mental health as a direct result of their caregiving responsibilities. Specifically, they describe higher levels of distress, mental health problems, and depressive symptoms compared to their non-caregiving matched controls. Powerful Tools for Caregivers (PTC) is a national program that aims to empower caregivers to...