Atsushi MATSUO Associate Professor, Department of Mathematical Sciences Graduate School of Mathematical Sciences,   The University of Tokyo Komaba 3-8-1, Meguro-ku, Tokyo 153-8914, Japan

Forthcoming Events

Research Interests

I have been working on mathematical aspects of 2D conformal field theories. The research topics from new to old are roughly:

• Chiral conformal field theories on Riemann surfaces associated with vertex operator algebras.
• Automophism Groups of Vertex Operator Algebras.
• Representation Theory of Quantum Affine Algebras.
• Knizhnik-Zamolodchikov equation and its variants.

Preprints

• A Matsuo, K. Nagatomo and A. Tsuchiya: Quasi-finite algebras graded by Hamiltonian and vertex operator algebras.
  math.QA/0505071

Publication

Refereed Research Papers

1. A. Matsuo: 3-transposition groups of symplectic type and vertex operator algebras.
   Journal of Mathematical Society of Japan 57 (2005), no. 3, 639--649.
2. A Matsuo: Norton's trace formulae for the Griess algebra of a vertex operator algebra with larger symmetry.
   Commun. Math. Phys. 224 (2001), 565--591.
3. A Matsuo and M Matsuo: The automorphism group of the Hamming code vertex operator algebra.
   J. Algebra, 228 (2000), 204--226.
4. A Matsuo and K Nagatomo: A note on free bosonic vertex algebra and its conformal vectors.
   J. Algebra 212 (1999), 395--418.
5. A Matsuo: A q-deformation of Wakimoto modules, primary fields, and screening operators.
   Commun. Math. Phys. 160 (1994), 33--48.
6. A Matsuo: Quantum algebra structure of certain Jackson integrals.
   Commun. Math. Phys., 157 (1993), 479--498.
7. A Matsuo: Free field representation of the quantum affine algebra U_q(sl^₂).
   Phys. Lett. B308 (1993), 260-265.
8. A Matsuo: Jackson integrals of Jordan-Pochhammer type and Quantum Knizhnik-Zamolodchikov equations.
   Commun. Math. Phys., 151 (1993), 263--273.
9. A Matsuo: Integrable connections related to zonal spherical functions,
   Invent. Math., 110 (1992), 95--121.
10. A Matsuo: An Application of Aomoto-Gelfand Hypergeometric Functions to SU(n) Knizhnik-Zamolodchikov Equation.
    Commun. Math. Phys. 134 (1990), 65--77
11. E Date, M Jimbo, A Matsuo and T Miwa: Hypergeometric type integrals and the sl(2,C) Knizhnik-Zamolodchikov equations.
    Int. J. Mod. Phys. B4 (1990), 1049

Books

1. A Matsuo and K Nagatomo: Axioms for a vertex algebra and the locality of quantum fields.
   MSJ Memoirs 4, Math. Soc. Japan, 1999.

Other Papers

1. A Matsuo: Summary of the theory of primitive forms.
   Topological field theory, primitive forms, and related topics, Birkhauser, 1998.

Japanese Papers

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