A sad funeral call for Twistors, this Friday.

  1. arivero

    arivero 2,998
    Gold Member

    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.
     
  2. jcsd
  3. marcus

    marcus 24,280
    Science Advisor
    Gold Member
    2014 Award

    Sólo una cosa no hay. Es el olvido.
     
  4. yes, the negligence.
    Paden Roder
     
  5. 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.

    :cry:
     
  6. marcus

    marcus 24,280
    Science Advisor
    Gold Member
    2014 Award

    :biggrin: that is funny meteor
    perhaps 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?
     
    Last edited: Jul 6, 2004
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