We present a framework to systematically investigate higher categorical symmetries in two-
dimensional spin systems. Though exotic, such generalised symmetries have been shown …

We outline a holographic framework that attempts to unify Landau and beyond-Landau
paradigms of quantum phases and phase transitions. Leveraging a modern understanding …

We formulate a family of spin Topological Quantum Field Theories (spin-TQFTs) as fermionic
generalization of bosonic Dijkgraaf–Witten TQFTs. They are obtained by gauging G …

Abstract Topological Quantum Field Theories (TQFTs) pertinent to some emergent low
energy phenomena of condensed matter lattice models in 2+ 1 and 3+ 1 dimensions are …

A bstract We use the intrinsic one-form and two-form global symmetries of (3+ 1) d bosonic
field theories to classify quantum phases enriched by ordinary (0-form) global symmetry …

We use the Symmetry Topological Field Theory (SymTFT) to study and classify gapped
phases in (2+ 1) d for a class of categorical symmetries, referred to as being of bosonic type …

A bstract We consider exactly solvable models in (3+ 1) d whose ground states are
described by topological lattice gauge theories. Using simplicial arguments, we emphasize …

We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in
quantum spin models in spatial dimensions $ d= 2$ and 3. Doing so, we naturally uncover …

We explore various 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d
gapped short-/long-range entangled (SRE/LRE) topological states. Specifically, we explore …

As an unconventional realization of topological orders with an exotic interplay of topology
and geometry, fracton (topological) orders feature subextensive topological ground-state …