Bin Gui

Full publications

The following articles are listed in the order they were finished and submitted to arXiv. The arXiv indentifiers (YYMM.NNNNN) indicate the time of submission. Note that the preprints on this website might be more updated than the arXiv versions.

  1. Unitarity of The Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, I, Comm. Math. Phys., (2019) 366(1), pp.333-396. arXiv:1711.02840 Preprint Errata

  2. Unitarity of The Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, II, Comm. Math. Phys., (2019) 372: 893-950. arXiv:1712.04931 Preprint

  3. Energy Bounds Condition for Intertwining Operators of Type B, C, and G_2 unitary affine vertex operator algebras, Trans. Amer. Math. Soc., 372 (2019), 7371-7424. arXiv:1809.07003 Preprint

  4. Categorical Extensions of Conformal Nets, Comm. Math. Phys., 383, 763-839 (2021). arXiv:1812.04470 Preprint Errata (A talk with slides)

  5. Q-systems and extensions of completely unitary vertex operator algebras, Int. Math. Res. Not. IMRN, Vol 2022, Issue 10, 7550-7614 arXiv:1908.03484 Preprint

  6. Bisognano-Wichmann Property for Rigid Categorical Extensions and Non-local Extensions of Conformal Nets, Ann. Henri Poincaré, 22, 4017-4062 (2021). arXiv:1912.10682 Preprint

  7. Unbounded Field Operators in Categorical Extensions of Conformal Nets, submitted. arXiv:2001.03095 Preprint

  8. Regular Vertex Operator Subalgebras and Compressions of Intertwining Operators, J. Algebra, (2020) 564. 32-48. arXiv:2003.02921 Preprint

  9. Polynomial Energy Bounds for Type F_4 WZW-models, Internat. J. Math., Vol. 31, No. 12 (2020). arXiv:2004.02064 Preprint

  10. Convergence of Sewing Conformal Blocks, Commun. Contemp. Math., Vol. 26, No. 03 (2024). arXiv:2011.07450 Preprint Errata

  11. Sewing and Propagation of Conformal Blocks, New York J. Math., 30 (2024) 187–230. arXiv:2110.04774 Preprint

  12. Genus-zero Permutation-twisted Conformal Blocks for Tensor Product Vertex Operator Algebras: The Tensor-factorizable Case, To appear in Commun. Contemp. Math., arXiv:2111.04662 Preprint Slides

  13. On a Connes Fusion Approach to Finite Index Extensions of Conformal Nets. To appear in Rev. Math. Phys.. arXiv:2112.15396 Preprint

  14. (Joint with Hao Zhang) Analytic Conformal Blocks of C2-cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products. arXiv:2305.10180 Preprint Slides

  15. Geometric Positivity of the Fusion Products of Unitary Vertex Operator Algebra Modules, Comm. Math. Phys., Vol. 405 (2024). arXiv:2306.11856, Preprint Slides

  16. (Joint with Hao Zhang) Analytic Conformal Blocks of C2-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-q-traces, To appear in Commun. Contemp. Math., arXiv:2411.07707 Preprint. (A talk with slides)

  17. (Joint with Hao Zhang) Analytic Conformal Blocks of C2-cofinite Vertex Operator Algebras III: The Sewing-Factorization Theorems. arXiv:2503.23995 Preprint.

  18. Comparison of Extensions of Unitary Vertex Operator Algebras and Conformal Nets, arXiv:2505.03235 Preprint.

  19. (Joint with Hao Zhang) Pseudotraces on Almost Unital and Finite-Dimensional Algebras, arXiv:2508.00431 Preprint

  20. (Joint with Hao Zhang) How are pseudo-q-traces related to (co)ends? arXiv:2508.04532 Preprint