22 citations · 35 across the 5 of their papers we have counts for
10 papers · 1 filter
Algebras of order parameters in one-dimensional spin systems
Ameya Chavda, Clement Delcamp, Alex Turzillo +1
We study order parameters in one-dimensional quantum lattice models with finite invertible or non-invertible symmetry. We investigate what properties a string operator must satisfy…
Duality and Stacking of Bosonic and Fermionic SPT Phases
Alex Turzillo, Minyoung You
We study the interplay of duality and stacking of bosonic and fermionic symmetry-protected topological phases in one spatial dimension. In general the classifications of bosonic an…
Classification of Fermionic Topological Orders from Congruence Representations
Gil Young Cho, Hee-cheol Kim, Donghae Seo +1
The fusion rules and braiding statistics of anyons in D fermionic topological orders are characterized by the modular data of a super-modular category. On the other hand, th…
A symmetry principle for gauge theories with fractons
Yuji Hirono, Minyoung You, Stephen Angus +1
Fractonic phases are new phases of matter that host excitations with restricted mobility. We show that a certain class of gapless fractonic phases are realized as a result of spont…
Supersymmetric boundaries of one-dimensional phases of fermions beyond symmetry-protected topological states
Alex Turzillo, Minyoung You
It has recently been demonstrated that protected supersymmetry emerges on the boundaries of one-dimensional intrinsically fermionic symmetry protected trivial (SPT) phases. Here we…
Braiding Statistics of Vortices in d Topological Superconductors from Stacking
Minyoung You
Class D topological superconductors in dimensions are known to have a classification in the presence of interactions, with different topological orders…