Takashi Takebe

Publications⁴⁷

• Article Akhmedova V., Takebe T., Zabrodin A. Löwner equations and reductions of dispersionless hierarchies // Journal of Geometry and Physics. 2021. Vol. 162. Article 104100. doi
• Preprint Akhmedova V., Takebe T., Zabrodin A. Loewner equations and reductions of dispersionless hierarchies / Cornell University. Series arXiv "math". 2020. No. 2010.02277. (in press)
• Article Takebe T. Q-operators for higher spin eight vertex models with a rational anisotropy parameter // Letters in Mathematical Physics. 2019. Vol. 109. No. 8. P. 1867-1890. doi
• Book Takebe T. Эллиптические интегралы и эллиптические функции. Tokyo : Nippon Hyoron Sha, 2019.
• Preprint Takebe T. Q-operators for higher spin eight vertex models with a rational anisotropy parameter / Cornell University. Series arXiv "math". 2018. No. arXiv:1810.12969.
• Article Akhmedova V, Takebe T, Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 48. P. 1-23. doi
• Preprint Takebe T., Akhmedova V., Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy / Cornell University. Series arXiv "math-ph". 2017. No. 1707.01528.
• Article Takebe T. Q-Operators for Higher Spin Eight Vertex Models with an Even Number of Sites // Letters in Mathematical Physics. 2016. Vol. 106. No. 3. P. 319-340. doi
• Article Takebe T. Dispersionless BKP Hierarchy and Quadrant Löwner Equation // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2014. Vol. 10. P. 1-13. doi
• Book Takebe T. Lectures on Dispersionless Integrable Hierarchies. Tokyo : Research Center for Mathematical Physics, Rikkyo Universty, 2014.
• Preprint Takebe T. Dispersionless BKP Hierarchy and Quadrant Löwner Equation / Cornell University. Series math "arxiv.org". 2013. No. 1308.4584. (in press)
• Article Zabrodin A. Hirota equation and Bethe ansatz in integrable models// Уравнение Хироты и анзац Бете в интегрируемых моделях / Пер. с рус.: T. Takebe. // (Mathematical Sciences. 2013. No. 596. P. 7-12.
• Article Takasaki K., Takebe T. An h-dependent formulation of the Kadomtsev-Petviashvili hierarchy // Theoretical and Mathematical Physics. 2012. Vol. 171. No. 2. P. 683-690.
• Article Takasaki K., Takebe T. An hbar-expansion of the Toda hierarchy // Analysis and Mathematical Physics. 2012. No. 2. P. 171-214.
• Article Takebe T., Takasaki K., Teo L. P. Non-degenerate solutions of universal Whitham hierarchy // Journal of Physics A: Mathematical and Theoretical. 2010. Vol. 43. No. 325205. P. 1-22.
• Preprint Takebe T., Takasaki K. hbar-expansion of KP hierarchy: Recursive construction of solutions / Cornell University. Series math "arxiv.org". 2009. No. 0912.4867.
• Article Takasaki K., Takebe T. Loewner equations, Hirota equations and reductions of universal Whitham hierarchy // Journal of Physics A: Mathematical and Theoretical. 2008. Vol. 41. No. 475206. P. 1-27.
• Article Takebe T., Takasaki K. Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy. // Physica D: Nonlinear Phenomena. 2007. Vol. 235. No. 1-2. P. 109-125.
• Article Takebe T., Teo L. Coupled modified KP hierarchy and its dispersionless limit. // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2006. Vol. 2. No. 072. P. 1-30.
• Article Zabrodin A., Takebe T., Teo L. P. L\"owner equations and dispersionless hierarchies // Journal of Physics A: Mathematical and Theoretical. 2006. Vol. 39. P. 11479-11501.
• Chapter Takebe T., Takasaki K. Loewner equations and dispersionless hierarchies., in: Nankai Tracts in Mathematics Vol. 10: Differential geometry and physics. Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics (XXIII DGMTP) held in Tianjin, August 20–26, 2005. Hackensack : World Scientific, 2006. P. 438-442.
• Chapter Takebe T. Trigonometric degeneration and orbifold Wess-Zumino-Witten model. II., in: Progress in Mathematics Vol. 237: Infinite dimensional algebras and quantum integrable systems. Papers from the 14th International Congress on Mathematical Physics Satellite Workshop held at the University of Algarve, Faro, July 21–25, 2003. Basel : Birkhäuser, 2005. P. 205-224.
• Article Takebe T. Trigonometric degeneration and orbifold Wess-Zumino-Witten model. I. // International Journal of Modern Physics A. 2004. Vol. 19, May suppl.. P. 418-435.
• Article Takasaki K., Takebe T. An integrable system on the moduli space of rational functions and its variants // Journal of Geometry and Physics. 2003. Vol. 47. P. 1-20.
• Article Takebe T. A note on modified KP hierarchy and its (yet another) dispersionless limit // Letters in Mathematical Physics. 2002. Vol. 59. P. 157-172.
• Article Takebe T., Kuroki G. Wess-Zumino-Witten model on elliptic curves at the critical level. // Journal of Physics A: Mathematical and Theoretical. 2001. Vol. 34. No. 11. P. 2403-2413.
• Article Takebe T., Kuroki G. Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations // Communications in Mathematical Physics. 1999. Vol. 204. P. 587-618.
• Article Takebe T., Склянин Е. К. Separation of variables in the elliptic Gaudin model. // Communications in Mathematical Physics. 1999. Vol. 204. No. 1. P. 17-38.
• Article Takebe T., Kuroki G. Wakimoto modules and Knizhnik-Zamolodchikov-Bernard equations. // Progress of Theoretical Physics Supplement. 1999. Vol. 135. P. 138-148.
• Article Takebe T. A system of difference equations with elliptic coefficients and Bethe vectors // Communications in Mathematical Physics. 1997. Vol. 183. P. 161-182.
• Article Takebe T., Склянин Е. К. Algebraic Bethe Ansatz for XYZ Gaudin model // Physics Letters A. 1996. Vol. 219. P. 217-225.
• Article Takebe T. Bethe Ansatz for Higher Spin XYZ Models --- Low-lying Excitations --- // Journal of Physics A: Mathematical and Theoretical. 1996. Vol. 29. P. 6961-6966.
• Article Takebe T., Takasaki K. Quasi-classical limit of KP hierarchy, W-symmetries and free fermions. // Journal of Mathematical Sciences. 1996. Vol. 235. P. 295-303.
• Article Takebe T. Bethe Ansatz for Higher Spin Eight-Vertex Models // Journal of Physics A: Mathematical and Theoretical. 1995. Vol. 28. P. 6675-6706.
• Article Takebe T., Takasaki K. Integrable hierarchies and dispersionless limit // Reviews in Mathematical Physics. 1995. Vol. 7. P. 743-808.
• Article Nakatsu T., Kato A., Noumi M., Takebe T. Topological strings, matrix integrals, and singularity theory. // Physics Letters B. 1994. Vol. 322. No. 3. P. 192-197.
• Article Takebe T. Generalized XYZ Model associated to Sklyanin algebra // International Journal of Modern Physics A. 1993. Vol. 3A. P. 440-443.
• Article Takasaki K., Takebe T. Quasi-classical limit of Toda hierarchy and W-symmetries // Letters in Mathematical Physics. 1993. Vol. 28. P. 165-176.
• Chapter Takebe T. From general Zakharov-Shabat equations to the KP and the Toda lattice hierarchies., in: Advanced Series in Mathematical Physics Vol. 16: Proceedings of the RIMS Research Project held at Kyoto University, Kyoto, June 1–August 31, 1991. River Edge : World Scientific, 1992. P. 923-939.
• Article Takebe T. Generalized Bethe Ansatz with general spin representations of the Sklyanin algebra // Journal of Physics A: Mathematical and Theoretical. 1992. Vol. 25. P. 1071-1083.
• Chapter Takasaki K., Takebe T. SDiff(2) KP hierarchy, in: Advanced Series in Mathematical Physics Vol. 16: Proceedings of the RIMS Research Project held at Kyoto University, Kyoto, June 1–August 31, 1991. River Edge : World Scientific, 1992. P. 889-922.
• Article Такэбэ Т. О единственности формфакторов для редуцированной модели синус-Гордон // Записки научных семинаров ПОМИ РАН. 1992. Т. 199. С. 177-181.
• Article Takebe T. Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. I. // Letters in Mathematical Physics. 1991. Vol. 21. No. 1. P. 77-84.
• Article Takebe T. Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. II. // Publications of the Research Institute for Mathematical Sciences. 1991. Vol. 27. No. 3. P. 491-503.
• Article Takasaki K., Takebe T. SDiff(2) Toda equation—hierarchy, tau function, and symmetries. // Letters in Mathematical Physics. 1991. Vol. 23. No. 3. P. 205-214.
• Article Takebe T., Fukuma M. The Toda Lattice Hierarchy and Deformations of Conformal Field Theories // Modern Physics Letters A. 1990. Vol. 5. No. 7. P. 509-518.
• Article Takebe T. Toda lattice hierarchy and conservation laws. // Communications in Mathematical Physics. 1990. Vol. 129. No. 2. P. 281-318.