We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …

A bstract We revisit the symmetries of massless two-dimensional adjoint QCD with gauge
group SU (N). The dynamics is not sufficiently constrained by the ordinary symmetries and …

In the book of Haag [Local Quantum Physics (Springer Verlag, Berlin, 1992)] about local
quantum field theory the main results are obtained by the older methods of C*-and W …

A bstract We study generalized symmetries of quantum field theories in 1+ 1D generated by
topological defect lines with no inverse. This paper follows our companion paper on gapped …

We review a notion of completeness in QFT arising from the analysis of basic properties of
the set of operator algebras attached to regions. In words, this completeness asserts that the …

We formulate rational conformal field theory in terms of a symmetric special Frobenius
algebra A and its representations. A is an algebra in the modular tensor category of Moore …

It has been a long-standing open problem to construct a general framework for relating the
spectra of dual theories to each other. Here, we solve this problem for the case of one …

We consider certain categorical structures that are implicit in subfactor theory. Making the
connection between subfactor theory (at finite index) and category theory explicit sheds light …

For every tensor category C there is a braided tensor category Z (C), the 'center'of C. It is well
known to be related to Drinfel'd's notion of the quantum double of a finite dimensional Hopf …

A bstract We show that generalized symmetries cannot be charged under a continuous
global symmetry having a Noether current. Further, only non-compact generalized …