Results 1 to 10 of about 141 (100)
Solving 3d gravity with Virasoro TQFT
SciPost Physics, 2023 We propose a precise reformulation of 3d quantum gravity with negative cosmological constant in terms of a topological quantum field theory based on the quantization of the Teichmüller space of Riemann surfaces that we refer to as "Virasoro TQFT".
Scott Collier +2 more
exaly +3 more sources
$a\times b=c$ in $2+1$D TQFT [PDF]
Quantum, 2021 We study the implications of the anyon fusion equation $a\times b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs). Here $a$ and $b$ are anyons that fuse together to give a unique anyon, $c$.
Matthew Buican +2 more
doaj +1 more source
Anomaly constraint on chiral central charge of (2+1)d topological order
Physical Review Research, 2021 In this short paper, we argue that the chiral central charge c_{−} of a (2+1)d topological ordered state is sometimes strongly constrained by 't Hooft anomaly of antiunitary global symmetry.
Ryohei Kobayashi
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Journal of High Energy Physics, 2021 In this work, we extend the 2d topological gravity model of [1] to have as its bulk action any open/closed TQFT obeying Atiyah’s axioms. The holographic duals of these topological gravity models are ensembles of 1d topological theories with random ...
John Gardiner, Stathis Megas
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Symmetry TFTs and anomalies of non-invertible symmetries
Journal of High Energy Physics, 2023 It is known that the ’t Hooft anomalies of invertible global symmetries can be characterized by an invertible TQFT in one higher dimension. The analogous statement remains to be understood for non-invertible symmetries.
Justin Kaidi +3 more
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Strongly coupled QFT dynamics via TQFT coupling
Journal of High Energy Physics, 2021 We consider a class of quantum field theories and quantum mechanics, which we couple to ℤ N topological QFTs, in order to classify non-perturbative effects in the original theory.
Mithat Ünsal
doaj +1 more source
Comments on summing over bordisms in TQFT
Journal of High Energy Physics, 2022 Recent works in quantum gravity, motivated by the “factorization problem” and “baby universes,” have considered sums over bordisms with fixed boundaries in topological quantum field theory (TQFT).
Anindya Banerjee, Gregory W. Moore
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Peculiar index relations, 2D TQFT, and universality of SUSY enhancement
Journal of High Energy Physics, 2020 We study certain exactly marginal gaugings involving arbitrary numbers of Argyres-Douglas (AD) theories and show that the resulting Schur indices are related to those of certain Lagrangian theories of class S $$ \mathcal{S} $$ via simple transformations.
Matthew Buican +2 more
doaj +1 more source
No-go theorem for boson condensation in topologically ordered quantum liquids
New Journal of Physics, 2016 Certain phase transitions between topological quantum field theories (TQFTs) are driven by the condensation of bosonic anyons. However, as bosons in a TQFT are themselves nontrivial collective excitations, there can be topological obstructions that ...
Titus Neupert +4 more
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Non-local order parameters and quantum entanglement for fermionic topological field theories
Journal of High Energy Physics, 2020 We study quantized non-local order parameters, constructed by using partial time-reversal and partial reflection, for fermionic topological phases of matter in one spatial dimension protected by an orientation reversing symmetry, using topological ...
Kansei Inamura +2 more
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