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A sad funeral call for Twistors, this Friday. |
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| Jul1-04, 12:52 PM | #1 |
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A sad funeral call for Twistors, this Friday.
Tomorrow Friday, at 9.10 in Paris, Ed Witten will deliver his reading on twistors.
At a high probability, this date will mark the sad end of this mathematical structure. It will become embedded in a hundred of papers unfocusing any previously known detail of Penrose' objects, which will adquire past tomorrow a completely new meaning. Of course it is happening since December, and Witten's article has already got over 40 citations. Anticipating Marcus, I will review Spires: FIND T TWISTOR OR T TWISTORS AND DATE 1999 -> 6 2000 -> 10 2001 -> 10 2002 -> 0 2003 -> 6 (Incl. 0312171) ... BEFORE 2004: 258 papers 2004 -> 16 The top-cited papers on twistors 180) Edward Witten, TWISTOR - LIKE TRANSFORM IN TEN- DIMENSIONS. Nucl.Phys.B266:245,1986. 169) R. Penrose, M.A.H. MacCallum, TWISTOR THEORY: AN APPROACH TO THE QUANTIZATION OF FIELDS AND SPACE-TIME. Phys.Rept.6:241-316,1972. 163) Dmitri P. Sorokin, V.I. Tkach, D.V. Volkov, SUPERPARTICLES, TWISTORS AND SIEGEL SYMMETRY. Mod.Phys.Lett.A4:901-908,1989. 159) R. Penrose, NONLINEAR GRAVITONS AND CURVED TWISTOR THEORY. Gen.Rel.Grav.7:31-52,1976. 113) R. Penrose, TWISTOR ALGEBRA. J.Math.Phys.8:345,1967. 61) Ingemar Bengtsson, Martin Cederwall, PARTICLES, TWISTORS AND THE DIVISION ALGEBRAS. Nucl.Phys.B302:81,1988. 60) A. Galperin, E. Sokatchev, A TWISTOR LIKE D = 10 SUPERPARTICLE ACTION WITH MANIFEST N=8 WORLDLINE SUPERSYMMETRY. Phys.Rev.D46:714-725,1992. 57) Y. Eisenberg, S. Solomon, THE TWISTOR GEOMETRY OF THE COVARIANTLY QUANTIZED BRINK-SCHWARZ SUPERPARTICLE. Nucl.Phys.B309:709,1988. Witten's hep-th/0312171 has already got 41 citations. |
| Jul1-04, 01:27 PM | #2 |
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| Jul5-04, 04:04 PM | #3 |
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yes, the negligence.
Paden Roder |
| Jul5-04, 05:51 PM | #4 |
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Blog Entries: 4
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A sad funeral call for Twistors, this Friday.
My contribution to the funeral is the last paper in arxiv where you can find the word twistor in the abstract
http://arxiv.org/abs/hep-th/0406251 The affine ambitwistor space as the moduli space of SUYM in $AdS_5\otimes S^5$ Authors: Bo-Yu Hou, Bo-Yuan Hou, Xiao-Hui Wang, Chuan-Hua Xiong, Rui-Hong Yue By enlarge the $gl(2,2)$ symmetry with the twisted $U(1)\times U(1)$ reparametrization symmetry, we find a gauged WZNW action of YM field. The left and right twistor structure of left and right $\alpha$-plane glue into a ambitwitor. The affine dressing symmetry enables to find twisted monopoles. We argue that its moduli space will be the moduli of N=2 SUSY.
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| Jul5-04, 07:08 PM | #5 |
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that is funny meteorperhaps the worms have already arrived even before the funeral but seriously if it is good mathematics then it lives on I just watched the 3 hour-long lectures that Penrose gave at princeton in october 2003, entitled "Fashion, Faith, Fantasy" they are on video that one can download from http://www.princeton.edu/WebMedia/lectures/ (the link is from Woit's blog) each hour is about one of the three things "Fashion" is about string theory "Faith" is about what he sees is wrong with Quantum Theory and why he expects a revolution in QM when gravity is included has anyone else watched the lectures? |
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