Logarithmic conformal field theory, log-modular tensor categories and modular forms
T Creutzig, T Gannon - … Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
… of Argyres-Douglas theories [C2]. As we will mention later in conjecture 3.3, the semi-simplification
of a log-modular tensor category is expected to be a modular tensor category. This …
of a log-modular tensor category is expected to be a modular tensor category. This …
Twisted Modules and G-equivariantization in Logarithmic Conformal Field Theory
R McRae - Communications in Mathematical Physics, 2021 - Springer
… modules for the chiral algebra) because of the logarithmic tensor category theory of Huang,
… -semisimple or rigid braided tensor categories \({\mathcal {C}}\) of modules for the fixed-point …
… -semisimple or rigid braided tensor categories \({\mathcal {C}}\) of modules for the fixed-point …
On the applicability of logarithmic tensor category theory
YZ Huang - arXiv preprint arXiv:1702.00133, 2017 - arxiv.org
… structure (including a ribbon structure) on a module category C for a suitable vertex operator
algebra or more general vertex algebra V . In this paper we broaden the applicability of this …
algebra or more general vertex algebra V . In this paper we broaden the applicability of this …
Affine Lie algebras and tensor categories
YZ Huang - arXiv preprint arXiv:1811.05123, 2018 - arxiv.org
… of various tensor category structures on module categories for … proved using the logarithmic
tensor category theory of Lepowsky, … The logarithmic tensor category theory reduces the …
tensor category theory of Lepowsky, … The logarithmic tensor category theory reduces the …
Braided tensor categories of admissible modules for affine Lie algebras
T Creutzig, YZ Huang, J Yang - Communications in Mathematical Physics, 2018 - Springer
… structure (with a twist) by using the logarithmic tensor category theory developed in [HLZ1,HLZ2,HLZ3,HLZ4,HLZ5,HLZ6,HLZ7,HLZ8,HLZ9]
and [H7]. The work carried out in the present …
and [H7]. The work carried out in the present …
Ribbon tensor structure on the full representation categories of the singlet vertex algebras
T Creutzig, R McRae, J Yang - Advances in Mathematics, 2023 - Elsevier
… ( p ) -modules, and we prove that both tensor categories O M ( … extension theory to show that
the representation categories … Even the construction of logarithmic modules is a difficult task: …
the representation categories … Even the construction of logarithmic modules is a difficult task: …
Tensor categories of affine Lie algebras beyond admissible levels
T Creutzig, J Yang - Mathematische Annalen, 2021 - Springer
… We aim to discuss braided tensor categories of finite length generalized modules for a general
affine … axiom in order to check the applicability of the logarithmic tensor category theory. …
affine … axiom in order to check the applicability of the logarithmic tensor category theory. …
[图书][B] Dualizable tensor categories
C Douglas, C Schommer-Pries, N Snyder - 2020 - ams.org
… Schweigert’s work on logarithmic conformal field theory [FS10]. … separable modules and
separable tensor categories: … A finite module category CM over a semisimple tensor category is …
separable tensor categories: … A finite module category CM over a semisimple tensor category is …
Characterizing braided tensor categories associated to logarithmic vertex operator algebras
T Creutzig, S Lentner, M Rupert - arXiv preprint arXiv:2104.13262, 2021 - arxiv.org
… tensor category CV of V modules, then the category of W-modules that lie in CV is a vertex
tensor category … It is believed but unproven that the category of ordinary modules of the singlet …
tensor category … It is believed but unproven that the category of ordinary modules of the singlet …
Tensor categories for vertex operator superalgebra extensions
T Creutzig, S Kanade, R McRae - arXiv preprint arXiv:1705.05017, 2017 - arxiv.org
… If the vertex tensor category of either V -modules or C-modules is understood, then our
results … , vertex tensor categories for vertex operator algebras in logarithmic conformal field …
results … , vertex tensor categories for vertex operator algebras in logarithmic conformal field …
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