Creutzig, Thomas; Genra, Naoki; Nakatsuka, Shigenori; Sato, Ryo Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras. (English) Zbl 1511.17062 Commun. Math. Phys. 393, No. 1, 1-60 (2022). Reviewer: Robert McRae (Beijing) MSC: 17B69 17B67 18M15 18M20 81R10 81T40 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Math. Phys. 393, No. 1, 1--60 (2022; Zbl 1511.17062) Full Text: DOI arXiv
Creutzig, Thomas; McRae, Robert; Yang, Jinwei Direct limit completions of vertex tensor categories. (English) Zbl 1502.17026 Commun. Contemp. Math. 24, No. 2, Article ID 2150033, 60 p. (2022). MSC: 17B69 17B37 17B67 81T40 81R10 18M15 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Contemp. Math. 24, No. 2, Article ID 2150033, 60 p. (2022; Zbl 1502.17026) Full Text: DOI arXiv
Creutzig, Thomas; Kanade, Shashank; McRae, Robert Gluing vertex algebras. (English) Zbl 1500.17023 Adv. Math. 396, Article ID 108174, 72 p. (2022). MSC: 17B69 18M15 81R10 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Adv. Math. 396, Article ID 108174, 72 p. (2022; Zbl 1500.17023) Full Text: DOI arXiv
Creutzig, Thomas; Yang, Jinwei Tensor categories of affine Lie algebras beyond admissible levels. (English) Zbl 07387668 Math. Ann. 380, No. 3-4, 1991-2040 (2021). MSC: 18M20 17B69 PDFBibTeX XMLCite \textit{T. Creutzig} and \textit{J. Yang}, Math. Ann. 380, No. 3--4, 1991--2040 (2021; Zbl 07387668) Full Text: DOI arXiv
Creutzig, Thomas; Gaiotto, Davide Vertex algebras for S-duality. (English) Zbl 1481.17041 Commun. Math. Phys. 379, No. 3, 785-845 (2020). MSC: 17B69 17B65 PDFBibTeX XMLCite \textit{T. Creutzig} and \textit{D. Gaiotto}, Commun. Math. Phys. 379, No. 3, 785--845 (2020; Zbl 1481.17041) Full Text: DOI arXiv
Auger, Jean; Creutzig, Thomas; Kanade, Shashank; Rupert, Matthew Braided tensor categories related to \(\mathcal{B}_p\) vertex algebras. (English) Zbl 1495.17037 Commun. Math. Phys. 378, No. 1, 219-260 (2020). MSC: 17B69 18M15 81R50 PDFBibTeX XMLCite \textit{J. Auger} et al., Commun. Math. Phys. 378, No. 1, 219--260 (2020; Zbl 1495.17037) Full Text: DOI arXiv
Creutzig, Thomas; Gainutdinov, Azat M.; Runkel, Ingo A quasi-Hopf algebra for the triplet vertex operator algebra. (English) Zbl 1512.17053 Commun. Contemp. Math. 22, No. 3, Article ID 1950024, 71 p. (2020). MSC: 17B69 17B37 18M20 16T05 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Contemp. Math. 22, No. 3, Article ID 1950024, 71 p. (2020; Zbl 1512.17053) Full Text: DOI arXiv
Creutzig, Thomas; Kanade, Shashank; Linshaw, Andrew R. Simple current extensions beyond semi-simplicity. (English) Zbl 1472.17090 Commun. Contemp. Math. 22, No. 1, Article ID 1950001, 49 p. (2020). MSC: 17B69 18M99 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Contemp. Math. 22, No. 1, Article ID 1950001, 49 p. (2020; Zbl 1472.17090) Full Text: DOI arXiv
Bouchard, Vincent; Creutzig, Thomas; Joshi, Aniket Hecke operators on vector-valued modular forms. (English) Zbl 1440.11060 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 041, 31 p. (2019). MSC: 11F25 11F27 17B69 14N35 PDFBibTeX XMLCite \textit{V. Bouchard} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 041, 31 p. (2019; Zbl 1440.11060) Full Text: DOI arXiv
Creutzig, T.; Kanade, S.; Linshaw, A. R.; Ridout, D. Schur-Weyl duality for Heisenberg cosets. (English) Zbl 1460.17041 Transform. Groups 24, No. 2, 301-354 (2019). Reviewer: Sven Möller (Piscataway) MSC: 17B69 81R10 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Transform. Groups 24, No. 2, 301--354 (2019; Zbl 1460.17041) Full Text: DOI arXiv
Creutzig, Thomas Fusion categories for affine vertex algebras at admissible levels. (English) Zbl 1472.17089 Sel. Math., New Ser. 25, No. 2, Paper No. 27, 21 p. (2019). MSC: 17B69 17B67 18M15 PDFBibTeX XMLCite \textit{T. Creutzig}, Sel. Math., New Ser. 25, No. 2, Paper No. 27, 21 p. (2019; Zbl 1472.17089) Full Text: DOI arXiv
Creutzig, Thomas; Kanade, Shashank; Liu, Tianshu; Ridout, David Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models. (English) Zbl 1405.81050 Nucl. Phys., B 938, 22-55 (2019). MSC: 81R40 81R10 17B68 15A69 17B10 14F20 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Nucl. Phys., B 938, 22--55 (2019; Zbl 1405.81050) Full Text: DOI arXiv
Creutzig, Thomas; Frohlich, Jesse; Kanade, Shashank Representation theory of \(L_k(\mathfrak {osp}(1 | 2))\) from vertex tensor categories and Jacobi forms. (English) Zbl 1451.17009 Proc. Am. Math. Soc. 146, No. 11, 4571-4589 (2018). MSC: 17B69 81R10 18M99 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Proc. Am. Math. Soc. 146, No. 11, 4571--4589 (2018; Zbl 1451.17009) Full Text: DOI arXiv
Creutzig, Thomas; Huang, Yi-Zhi; Yang, Jinwei Braided tensor categories of admissible modules for affine Lie algebras. (English) Zbl 1427.17038 Commun. Math. Phys. 362, No. 3, 827-854 (2018). MSC: 17B67 17B69 18M15 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Math. Phys. 362, No. 3, 827--854 (2018; Zbl 1427.17038) Full Text: DOI arXiv
Creutzig, Thomas; Gannon, Terry Logarithmic conformal field theory, log-modular tensor categories and modular forms. (English) Zbl 1409.17015 J. Phys. A, Math. Theor. 50, No. 40, Article ID 404004, 37 p. (2017). MSC: 17B69 81T40 PDFBibTeX XMLCite \textit{T. Creutzig} and \textit{T. Gannon}, J. Phys. A, Math. Theor. 50, No. 40, Article ID 404004, 37 p. (2017; Zbl 1409.17015) Full Text: DOI arXiv