BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Masashi Hamanaka (Nagoya) DTSTART:20251027T074500Z DTEND:20251027T084500Z DTSTAMP:20260423T011050Z UID:UIS2025/3 DESCRIPTION:Title: Towards Unification of Integrable Systems -- from ASD Yang-Mills viewpoint s\nby Masashi Hamanaka (Nagoya) as part of Nagoya IAR workshop on Unif ication of Integrable Systems\n\nLecture held in Sakata-Hirata Hall\, Nago ya University.\n\nAbstract\nAnti-Self-Dual (ASD) Yang-Mills equations have played important roles in quantum field theory\, four-dimensional geometr y and integrable systems. The ASD Yang-Mills equations have two potential formalisms described by the J-matrix and the K-matrix. These equations by J and K are equations of motion of the 4-dimensional Wess-Zumino-Witten (4 dWZW) model and the Leznov-Mukhtarov-Parkes (4dLMP) model\, respectively. Both models can be space-time actions of N=2 open string theories in (2+2) dimensions and hence solutions of the ASD Yang-Mills equations descrive c lassical physical objects in the N=2 open string theory. Furthermore\, bot h 4dWZW and 4dLMP models can be obtained from six-dimensional Chern-Simons theory and hence can be one wing of the unification senario of integrable systems (6dCS-->4dCS/ASDYM) described in scope of this workshop.\n\nIn th is talk\, I review basic of ASD Yang-Mills equations and reduced equations in the framework of the Yang-Mills\, 4dWZW and 4dLMP models and give soli ton solutions of them with resonance processes clarifying difference with the classification theory of KP solitons by Yuji Kodama et al. Finally we discuss perspectives of the unification of integrable systems in the split signature\, in noncommutative settings\, and in homotopy algebra formulat ions. (I note that Xianghang Zhang is developing a homotopy algebra formut ation of string field theory action of the N=2 open string theory [arXiv:2 506.21247].)\n\nThis talk is partly based on collabolation with Shan-chi H uang\, Hiroaki Kanno (Nagoya) and Shangshuai li (Ningbo) and Da-Jun Zhang (Shanghai): arXiv:2408.16554\, arXiv:2501.08250 arXiv:2212.11800 and forth coming papers.\n LOCATION:https://researchseminars.org/talk/UIS2025/3/ END:VEVENT END:VCALENDAR