A QFT for non-semisimple TQFT

T Creutzig, T Dimofte, N Garner, N Geer - arXiv preprint arXiv:2112.01559, 2021 - arxiv.org
We construct a family of 3d quantum field theories $\mathcal T_ {n, k}^ A $ that conjecturally
provide a physical realization--and derived generalization--of non-semisimple mathematical …

3d TQFTs from Argyres–Douglas theories

M Dedushenko, S Gukov, H Nakajima… - Journal of Physics A …, 2020 - iopscience.iop.org
We construct a new class of three-dimensional topological quantum field theories (3d
TQFTs) by considering generalized Argyres–Douglas theories on S 1× M 3 with a non-trivial …

[HTML][HTML] Symmetry TFTs for 3d QFTs from M-theory

M van Beest, DSW Gould, S Schäfer-Nameki… - Journal of High Energy …, 2023 - Springer
A bstract We derive the Symmetry Topological Field Theories (SymTFTs) for 3d
supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric …

Invertibility of Condensation Defects and Symmetries of 2+ 1d QFTs

M Buican, R Radhakrishnan - arXiv preprint arXiv:2309.15181, 2023 - arxiv.org
We characterize discrete (anti-) unitary symmetries and their non-invertible generalizations
in $2+ 1$ d topological quantum field theories (TQFTs) through their actions on line …

Characterizing braided tensor categories associated to logarithmic vertex operator algebras

T Creutzig, S Lentner, M Rupert - arXiv preprint arXiv:2104.13262, 2021 - arxiv.org
Given a non-semisimple braided tensor category, with oplax tensor functors from known
braided tensor categories, we ask: How does this knowledge characterize the tensor product …

Complex Quantum Chern-Simons

JE Andersen, R Kashaev - arXiv preprint arXiv:1409.1208, 2014 - arxiv.org
We lay down a general framework for how to construct a Topological Quantum Field Theory
$ Z_A $ defined on shaped triangulations of orientable 3-manifolds from any Pontryagin self …

Quantum SL (2) and logarithmic vertex operator algebras at (p, 1)-central charge

T Gannon, C Negron - arXiv preprint arXiv:2104.12821, 2021 - ems.press
We provide a ribbon tensor equivalence between the representation category of small
quantum SL. 2/, at parameter q D ei= p, and the representation category of the triplet vertex …

Teichmüller TQFT vs. Chern-Simons theory

V Mikhaylov - Journal of High Energy Physics, 2018 - Springer
A bstract 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 …

Consistent orientation of moduli spaces

DS Freed, MJ Hopkins, C Teleman - arXiv preprint arXiv:0711.1909, 2007 - arxiv.org
We give an a priori construction of the two-dimensional reduction of three-dimensional
quantum Chern-Simons theory. This reduction is a two-dimensional topological quantum …

3d = 2 Chern-Simons-matter theory, Bethe ansatz, and quantum K -theory of Grassmannians

K Ueda, Y Yoshida - Journal of High Energy Physics, 2020 - Springer
A bstract We study a correspondence between 3d\(\mathcal {N}\)= 2 topologically twisted
Chern-Simons-matter theories on S 1× Σg and quantum K-theory of Grassmannians. Our …