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Fermionic symmetry protected topological phases and cobordisms

- A. Kapustin, Ryan Thorngren, Alex Turzillo, Zitao Wang
- Physics
- 27 June 2014

A bstractIt has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with… Expand

Higher symmetry and gapped phases of gauge theories

- A. Kapustin, Ryan Thorngren
- Mathematics, Physics
- 18 September 2013

We study topological field theory describing gapped phases of gauge theories where the gauge symmetry is partially Higgsed and partially confined. The TQFT can be formulated both in the continuum and… Expand

Comments on abelian Higgs models and persistent order

- Z. Komargodski, Adar Sharon, Ryan Thorngren, Xinan Zhou
- PhysicsSciPost Physics
- 13 May 2017

A natural question about Quantum Field Theory is whether there is a
deformation to a trivial gapped phase. If the underlying theory has an
anomaly, then symmetric deformations can never lead to a… Expand

Fermionic SPT phases in higher dimensions and bosonization

- A. Kapustin, Ryan Thorngren
- Physics
- 28 January 2017

A bstractWe discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological… Expand

Anomalies of discrete symmetries in various dimensions and group cohomology

- A. Kapustin, Ryan Thorngren
- Mathematics
- 11 April 2014

We study 't Hooft anomalies for discrete global symmetries in bosonic theories in 2, 3 and 4 dimensions. We show that such anomalies may arise in gauge theories with topological terms in the action,… Expand

Gauging spatial symmetries and the classification of topological crystalline phases

- Ryan Thorngren, D. Else
- Mathematics
- 2 December 2016

We put the theory of interacting topological crystalline phases on a systematic footing. These are topological phases protected by space-group symmetries. Our central tool is an elucidation of what… Expand

Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

- Ryan Thorngren, Yifan Wang
- Mathematics
- 5 December 2019

We study generalized discrete symmetries of quantum field theories in 1+1D generated by topological defect lines with no inverse. In particular, we describe 't Hooft anomalies and classify gapped… Expand

Gapless Topological Phases and Symmetry-Enriched Quantum Criticality

- R. Verresen, Ryan Thorngren, N. G. Jones, F. Pollmann
- PhysicsPhysical Review X
- 16 May 2019

We introduce topological invariants for critical bosonic and fermionic chains. More generally, the symmetry properties of operators in the low-energy conformal field theory (CFT) provide discrete… Expand

Framed Wilson operators, fermionic strings, and gravitational anomaly in 4d

- Ryan Thorngren
- Physics
- 16 April 2014

A bstractWe study gapped systems with anomalous time-reversal symmetry and global gravitational anomaly in three and four spacetime dimensions. These systems describe topological order on the… Expand

Non-Fermi Liquids as Ersatz Fermi Liquids: General Constraints on Compressible Metals

- D. Else, Ryan Thorngren, T. Senthil
- Physics
- 15 July 2020

A system with charge conservation and lattice translation symmetry has a well-defined filling $\nu$, which is a real number representing the average charge per unit cell. We show that if $\nu$ is… Expand

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