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New Ed.Witten's Giant Paper

  1. Sep 27, 2012 #1
    Superstring Perturbation Theory Revisited
    Abstract:
    Perturbative superstring theory is revisited, with the goal of giving a simpler
    and more direct demonstration that multi-loop amplitudes are gauge-invariant (apart from
    known anomalies), satisfy space-time supersymmetry when expected, and have the ex-
    pected infrared behavior. The main technical tool is to make the whole analysis, including
    especially those arguments that involve integration by parts, on supermoduli space, rather
    than after descending to ordinary moduli space.

    Supplements of this paper are:

    Notes On Super Riemann Surfaces And Their Moduli
    Abstract:
    These are notes on the theory of super Riemann surfaces and their moduli
    spaces, aiming to collect results that are useful for a better understanding of superstring
    perturbation theory in the RNS formalism.

    Notes On Supermanifolds and Integration
    Abstract:
    These are notes on the theory of supermanifolds and integration on them, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS formalism.
     
  2. jcsd
  3. Sep 27, 2012 #2

    atyy

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    Ref 14: "Super Gaga Principle" ! What is that?
     
  4. Sep 27, 2012 #3

    bcrowell

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    Some people have an easier time than others comprehending the Super Gaga Principle. It's intuitively obvious to those of us who were born this way.
     
  5. Sep 27, 2012 #4

    MathematicalPhysicist

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    Like we have Saiyan and then we have Super Saiyan.

    Then we have Lady Gaga so we must have Super Gaga.



    ;-)
     
    Last edited by a moderator: Sep 25, 2014
  6. Sep 27, 2012 #5

    marcus

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    For the benefit of those not fortunate enough to be born with an understanding of these matters,
    GAGA is French for Algebraic Geometry⇔Analytic Geometry
    Serre, Jean-Pierre (1956), "Géométrie algébrique et géométrie analytique", Université de Grenoble. Annales de l'Institut Fourier 6: 1–42.

    the first deals with algebraic varieties, the second with analytic manifolds, and gaga principles carry results on the first over to apply to the second.
    "Super" is a functor defined on certain categories and making them super, as in
    strings → superstrings
    Riemann surface → Super Riemann surface
    man ifold → superman ifold
     
  7. Sep 27, 2012 #6

    MathematicalPhysicist

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  8. Sep 27, 2012 #7

    MathematicalPhysicist

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    Which categories are we talking about? What's the domain and codomain?
     
  9. Sep 27, 2012 #8

    marcus

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    Tongue in cheek categories, of course. :biggrin:
     
  10. Sep 27, 2012 #9

    MathematicalPhysicist

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  11. Sep 27, 2012 #10

    atyy

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    No wonder marcus considers string theory reductive!
     
  12. Sep 28, 2012 #11

    MathematicalPhysicist

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    They talk too much...
    :eek:
     
  13. Sep 29, 2012 #12
    I wonder how long a paper like this took him.
     
  14. Sep 30, 2012 #13
    Especially with the supplements it is close to 400 pages.
     
  15. Sep 30, 2012 #14

    MathematicalPhysicist

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    I wonder what he does besides math and physics... :confused:
     
  16. Sep 30, 2012 #15
    Probably physics and math. :devil:

    I think someone should send him a sincere email asking him what he does with his free time.

    Does he answer emails though?
     
  17. Sep 30, 2012 #16

    haushofer

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    I think he has found a way to put his office in a Godel universe.
     
  18. Sep 30, 2012 #17
    It can't be? So he can keep going into the past every time to make sure he finished 1 paper/week? :eek: Now it all makes sense.
     
  19. Oct 1, 2012 #18

    tom.stoer

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    The papers are way beyond the level I am able to follow (as a non-expert in string theory).

    Can anybody comment on the significance of his work?

    As far as I can see it is about a more rigorous definition of perturbative string theory. But in which sense is this relevant to understand the main open problems which (as far as I can see) are related to a non-perturbative treatment of strings.
     
  20. Oct 1, 2012 #19

    MathematicalPhysicist

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    It's a pitty that only one person can understand his work, and it's him. :-D
     
  21. Oct 1, 2012 #20

    PAllen

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    Even Lubos Motl described these papers as mathematics rather than physics (i.e. no new physical insights; extra rigor not of much interest to string theorists as physicists). Motl is generally a huge fan of Witten.
     
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