Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups
DOI10.1112/jlms.12853arXiv2208.14566WikidataQ129995798 ScholiaQ129995798MaRDI QIDQ6199333
Bertrand Patureau-Mirand, Nathan Geer, Aaron D. Lauda, Joshua Sussan
Publication date: 23 February 2024
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.14566
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Topological field theories in quantum mechanics (81T45) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Braided monoidal categories and ribbon categories (18M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
- Topological invariants from nonrestricted quantum groups
- Generalized trace and modified dimension functions on ribbon categories
- Branes and supergroups
- Polynomial \(6j\)-symbols and states sums
- Microscopic description of 2D topological phases, duality, and 3D state sums
- Quantum computation with Turaev-Viro codes
- Modified \(6j\)-symbols and 3-manifold invariants
- The trace on projective representations of quantum groups
- Exact results for perturbative Chern-Simons theory with complex gauge group
- Quantum field theory and the Jones polynomial
- Universal \(R\)-matrix for quantized (super)algebras
- Free fermions and the Alexander-Conway polynomial
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Spherical categories
- Reidemeister torsion, the Alexander polynomial and \(U(1,1)\) Chern-Simons theory
- Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices
- Hopf stars, twisted Hopf stars and scalar products on quantum spaces
- Fault-tolerant quantum computation by anyons
- Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity
- Relative (pre)-modular categories from special linear Lie superalgebras
- M-traces in (non-unimodular) pivotal categories
- Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs
- A Hermitian TQFT from a non-semisimple category of quantum \({\mathfrak{sl}(2)}\)-modules
- Modified graded Hennings invariants from unrolled quantum groups and modified integral
- Invariants of 3-manifolds via link polynomials and quantum groups
- Relating the archetypes of logarithmic conformal field theory
- Janus configurations, Chern-Simons couplings, and the {\(\theta\)}-angle in \(\mathcal{N} = 4\) super Yang-Mills theory
- Nonsemisimple quantum invariants and TQFTs from small and unrolled quantum groups
- Ambidextrous objects and trace functions for nonsemisimple categories
- Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories
- Ground State of a Bose System of Hard Spheres
- Modified quantum dimensions and re-normalized link invariants
- 𝐶* tensor categories from quantum groups
- The antipode of and star operations in a Hopf algebra
- Topological quantum computation
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- Pseudounitary operators and pseudounitary quantum dynamics
- Non-semisimple extended topological quantum field theories
- Modified Turaev-Viro invariants from quantum 𝔰𝔩(2|1)
- MULTIVARIABLE LINK INVARIANTS ARISING FROM LIE SUPERALGEBRAS OF TYPE I
- On an inner product in modular tensor categories
- Quantum invariants of knots and 3-manifolds
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