A QFT for non-semisimple TQFT
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 …
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 …
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
A bstract We derive the Symmetry Topological Field Theories (SymTFTs) for 3d
supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric …
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 …
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 …
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 …
$ 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 …
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 …
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 …
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
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 …
Chern-Simons-matter theories on S 1× Σg and quantum K-theory of Grassmannians. Our …