Results 31 to 40 of about 210 (155)
Teichmüller TQFT vs. Chern-Simons theory
Journal of High Energy Physics, 2018 Teichmüller TQFT is a unitary 3d topological theory whose Hilbert spaces are spanned by Liouville conformal blocks. It is related but not identical to PSL(2, ℝ) Chern-Simons theory.
Victor Mikhaylov
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Superconducting and Antiferromagnetic Phases of Space‐Time
Advances in High Energy Physics, Volume 2017, Issue 1, 2017., 2017 A correspondence between the SO(5) theory of high‐TC superconductivity and antiferromagnetism, put forward by Zhang and collaborators, and a theory of gravity arising from symmetry breaking of a SO(5) gauge field is presented. A physical correspondence between the order parameters of the unified SC/AF theory and the generators of the gravitational ...
Deepak Vaid, George Siopsis
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3d gravity from Virasoro TQFT: Holography, wormholes and knots
SciPost PhysicsWe further develop the description of three-dimensional quantum gravity with negative cosmological constant in terms of Virasoro TQFT formulated in our previous paper [SciPost Phys. 15, 151 (2023)].
Scott Collier, Lorenz Eberhardt, Mengyang Zhang
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Fermionization of fusion category symmetries in 1+1 dimensions
Journal of High Energy Physics, 2023 We discuss the fermionization of fusion category symmetries in two-dimensional topological quantum field theories (TQFTs). When the symmetry of a bosonic TQFT is described by the representation category Rep(H) of a semisimple weak Hopf algebra H, the ...
Kansei Inamura
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Journal of Knot Theory and Its Ramifications, 1997 The aim of this note is to give two applications of Topological Quantum Field Theories to the topology of open manifolds. The invariants we derived may be used to test if an open manifold is simply connected at infinity (as we did for Whitehead's manifold in case of the sl2(C)-TQFT in level 3) or to construct examples of non-homeomorphic contractible ...
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Links, quantum groups and TQFTs [PDF]
Bulletin of the American Mathematical Society, 1996 The Jones polynomial and the Kauffman bracket are constructed, and their relation with knot and link theory is described. The quantum groups and tangle functor frameworks for understanding these invariants and their descendents are given. The quantum group
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New quantum obstructions to sliceness
Proceedings of the London Mathematical Society, Volume 112, Issue 1, Page 81-114, January 2016., 2016 It is well known that generic perturbations of the complex Frobenius algebra used to define Khovanov cohomology each give rise to Rasmussen's concordance invariant s. This gives a concordance homomorphism to the integers and a strong lower bound on the smooth slice genus of a knot.
Lukas Lewark, Andrew Lobb
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Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
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International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 We review the progress in the last 20–30 years, during which we discovered that there are many new phases of matter that are beyond the traditional Landau symmetry breaking theory. We discuss new “topological” phenomena, such as topological degeneracy that reveals the existence of those new phases—topologically ordered phases.
Xiao-Gang Wen +4 more
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Phases Of Adjoint QCD$_3$ And Dualities
SciPost Physics, 2018 We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the theory as a
Jaume Gomis, Zohar Komargodski, Nathan Seiberg
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