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Knizhnik-Zamolodchikov·½³Ì[1]Ó¦¸ÃËãÊDZ¾¿Æ¿ÆÑгɹû£¬ÖÁÉÙÕâ¸öÌâĿӦ¸ÃÊDZ¾¿Æ¿ªÊ¼×öµÄ¡£ÕâÊǶþά¹²Ðγ¡ÂÛÖеÄÖØÒª½á¹û£¬ÔÚÊýѧÎïÀíÖÐÓ°ÏìÉîÔ¶£¬Ä¿Ç°ÒÑÓÐ1500+ÒýÓᣠ[2]Dima Knizhnik appeared in our community like a meteor. In the fall of 1983 he approached me and asked me to help him with some problem. He was at his last year at the Moscow Institute for Physics and Technology. At that time Weigman and I found the Bethe-Ansatz solution to the Wess-Zumino-Novikov-Witten model. Although we got some anomalous dimensions, the solution was clumsy and I was planning to get by studying "current blocks", analogous to the conformal blocks of Virasoro algebra. So I asked Dima to analyze these "current blocks," thinking to put them together to form minimal models of current algebra etc. So, I thought that if he was really good, then in half a year he will (with my help) compute the spectrum of anomalous dimensions. Instead, Dima appeared with the answer for this spectrum in two weeks. He did not follow my conservative suggestions; instead, he invented Sugawara energy momentum tensors and solved the problem. My first reaction was very subdued ¡ª I thought he was wrong and told him so. But Dima was a very self-confident man ¡ª and, also, he was right. So in a couple of days I gave up. He proceeded in a collaboration with Zamolodchicov to investigate the problem and finally they transformed a brilliant guess into a beautiful and complete theory. After that incident, I always believed in his guesses. That was the way he worked ¡ª he got the right answers out of nowhere. After that followed a period of finding proofs. He was incredibly fast both in solving problems and in learning new physics and mathematics. It has been very obvious to everybody that in the close future he was going to become a superstar. His death is a tragedy for the entire physics community, and it has certainly delayed developments of physics. After his death I received his notes. The last entry was just a day before. He was fascinated by the connection of gauge fields and gravity in two dimensions; he was obviously moving ahead very fast, working very hard and was very happy (judging by his exclamation marks after an especially nice formula).²Î¿¼^V. Knizhnik & A. Zamolodchikov, Current algebra and Wess-Zumino model in two dimensions, Nucl. Phys. B 247: 83-103 (1984).^A. Polyakov, Foreword, in L. Brink, D. Friedan & A. Polyakov (eds.), Physics and Mathematics of Strings: Memorial Volume for Vadim Knizhnik, Word Scientific, 1990. |
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