nLab Thomas Creutzig

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Selected writings

On logarithmic CFT:

• Thomas Creutzig, David Ridout, Logarithmic conformal field theory: beyond an introduction, J. Phys. A: Math. Theor. 46 (2013) 494006 (doi:10.1088/1751-8113/46/49/494006, arXiv:1303.0847)

On fractional-level WZW models as logarithmic CFT:

• Thomas Creutzig, David Ridout, Modular Data and Verlinde Formulae for Fractional Level WZW Models I, Nuclear Physics B 865 1 (2012) 83-114 $[$arXiv:1205.6513, doi:10.1016/j.nuclphysb.2012.07.018$]$

• Thomas Creutzig, David Ridout, Modular Data and Verlinde Formulae for Fractional Level WZW Models II, Nuclear Physics B 875 2 (2013) 423-458 $[$arXiv:1306.4388, doi:10.1016/j.nuclphysb.2013.07.008$]$

On the Verlinde formula for logarithmic CFTs:

• Thomas Creutzig, Terry Gannon, Logarithmic conformal field theory, log-modular tensor categories and modular forms, J. Phys. A 50, 404004 (2017) (doi:10.1088/1751-8121/aa8538, arXiv:1605.04630)

• Thomas Creutzig: Resolving Verlinde’s formula of logarithmic CFT [arXiv:2411.11383]

On braided fusion categories formed by affine Lie algebra-representations at admissible fractional level:

• Thomas Creutzig, Yi-Zhi Huang, Jinwei Yang, Braided tensor categories of admissible modules for affine Lie algebras, Commun. Math. Phys. 362 (2018) 827–854 [arXiv:1709.01865]

On braided tensor categories arising as representation categories of logarithmic vertex operator algebras:

• Thomas Creutzig, Simon Lentner, Matthew Rupert, Characterizing braided tensor categories associated to logarithmic vertex operator algebras (arXiv:2104.13262)

On W-algebra in SCFT:

• Thomas Creutzig, Niklas Garner, Byeonggi Go, Heeyeon Kim: W-algebras of the Deligne-Cvitanović Exceptional series and the minimal 3d $\mathcal{N}=4$ SCFT [arXiv:2603.17394]

• Thomas Creutzig, Volodymyr Kovalchuk, Andrew R. Linshaw, Arim Song, Uhi Rinn Suh: Universal 2-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra [arXiv:2604.20750]

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