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Supersymmetry and String Theory 
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#1
Nov2912, 02:58 PM

P: 12

I just recently seen an article that the recent findings at the LHC seem to disprove supersymmetry. I would like to know how supersymmetry and string theory are connected and what the implications would be if the LHC totally disproves supersymmetry all together?



#2
Nov2912, 03:10 PM

Emeritus
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PF Gold
P: 29,238

Be very careful on interpreting what you read! Zz. 


#3
Nov2912, 03:52 PM

P: 12




#4
Nov2912, 04:23 PM

Astronomy
Sci Advisor
PF Gold
P: 23,232

Supersymmetry and String Theory
Hi NB, and Zapper,
I also recently saw some articles about the lack of evidence for SUSY at LHC energy levels. For example this was at the Simons Foundation website, it seemed balanced well informed and decently written: https://simonsfoundation.org/feature...eeknewideas/ the style was less dramatic, less sensational than, say, the BBC article There was also this in Nature magazine, about the same topic http://www.nature.com/news/truantpa...mmetry1.11855 "truant particles turn the screw on supersymmetry" (note slightly jazzier headline) Finally there was the more sensational impressionistic BBC article, where the language is less controlled and can give reader's inaccurate impressions. http://www.bbc.co.uk/news/scienceenvironment20300100 I think the point is that physics is an experimental/empirical sciencethey want to explain the nature they can see. If supersymmetry exists only at far higher energies so they can't think of how to observe the effects, then it might exist but can't be seen. So they lose interest and enthusiasm for it. What these journalists are sensing and reporting is not a DISPROOF but more of a loss of interest among researchers in building SUSY models of nature. The game is to build mathematical models of nature that will exhibit visible effects. Otherwise it is more on the level of philosophy. 


#5
Nov2912, 04:30 PM

Astronomy
Sci Advisor
PF Gold
P: 23,232

Hi NB, I didn't see your post #3 when I was posting. You came up with the same article, by Natalie Wachover, that I did. It was at the Simons news site and the SciAm reprinted it. I think it captures the mood in a balanced way. Not DISPROOF but more like when there is a slow leak in the air of one of the tires on your car.
There still are parts of the parameter space they haven't searched thoroughly so something could still turn up at the LHC energy levels, and this trend could be reversed! But if not, the younger theorists will gradually find other areas to go into and other things to work on. I guess. There is a whole world of other stuff for them to investigate. 


#6
Nov3012, 02:16 PM

Sci Advisor
P: 912

Afaik you need targetspace susy to interpret the string spectrum. If susy would fail to be there in nature, string theory would have a hard time I guess.
In most texts it's not really treated thoroughly, though. Check greens schwarz witten on this :) 


#7
Nov3012, 03:34 PM

PF Gold
P: 341

The principle that a string should sweep out a world sheet of minimum area leads directly to the NambuGoto string action. However, the NambuGoto string seemed difficult to quantise. In introductory texts to string theory the Nambu–Goto string is barely mentioned, you almost immediately switch to the Polyakov string whose corresponding action has the same set of classical solutions as the NambuGoto action, but is bilinear in basic string variables and so is easier to quantize. However, this switch, from a geometrical point of view, is a rather unnatural reformulation and comes at the price of introducing an additional Weyl invariance and an auxiliary worldsheet metric. The consistency requirements of standard string theory  the need for extra dimensions and supersymmetry  arise from the particular Fock representation of the Polyakov string. In the the paper http://arxiv.org/pdf/hepth/0401172v1.pdf Thiemann uses rigorous techniques of AQFT and LQG to do a quantization of the NambuGoto string and found there is no need for extra dimensions or supersymmetry to make the theory consistent.



#8
Nov3012, 07:08 PM

PF Gold
P: 341

The world sheet is described by [itex]X^\mu (\sigma , \tau)[/itex], the position of the string for given values of [itex]\sigma[/itex] and [itex]\tau[/itex]. The NambuGoto action is simply proportional to the area,
[itex]S = T \int d \sigma d \tau \sqrt{\dot{X}^2 X^{\prime 2}  (\dot{X} \cdot X')^2}[/itex] where [itex]\dot{X}^\mu = {\partial X^\mu (\sigma , \tau) \over \partial \tau} , \;\;\;\; X^{\prime \mu} = {\partial X^\mu (\sigma , \tau) \over \partial \sigma}.[/itex] this was thought difficult to deal with because it is highly nonlinear and especially because of the square root. This action can be rewritten with the introduction of a new variable [itex]h_{\alpha \beta} [/itex], which is a world sheet metric: [itex]S =  {T \over 2} \int d^2 \sigma \sqrt{h} h^{\alpha \beta} \eta_{\mu \nu} \partial_\alpha X^\mu \partial_\beta X^\nu.[/itex] This is the Polyakov action  bilinear. The string action describes a 1+1 dimensional field theory invariant under active diffeomorphisms of the world sheet (for the NambnuGoto string this is the only local symmetry), hence the reason why LQG techniques are applicable. 


#9
Nov3012, 09:01 PM

P: 755

Thiemann's "LQGstring" really has nothing in common with string theory. As explained by Urs Schreiber here in comments #6 and #9, the method of quantization employed already deviates from ordinary QFT (he repeats the point in a comment at Jacques Distler's blog). This is a rather serious point. The history of quantum mechanics is an interplay of theory and experiment. The harmonic oscillator is quantized in a certain way, then fields in the same way, and then finally strings. The strings aren't experimentally validated so far, but the quantum oscillators and the quantum fields certainly have been. But Thiemann's method of quantization throws out all of that and revises even the harmonic oscillator. 


#10
Nov3012, 10:11 PM

PF Gold
P: 341

Are you talking about arguments claiming discontinuous representations do not give physically correct answers? I think Thiemann and others have countered these arguments. Thiemann for example, in his book on quantum general relativity pages 217218, he argues that the physics of the discontinuous representation is indistinguishable from the physics of the Schrodinger representation within error [itex]\delta[/itex] (which of course includeds the SHO).
Its been a while, I need to go through these arguments again. Can I just add that in the quantization of geometric theories there may be good physical reasons for these representations being discontinuous; if spatial geometry takes on a discrete nature upon quantization, it may not be surprising that there exists no operator generating infinitesimal spacial `translations'. 


#11
Dec212, 03:36 AM

P: 203

Regarding supersymmetry, am I right in thinking that there's nothing else on the table which comes remotely close to providing a toolkit to handle the hierarchy problem? (Note I'm not claiming that just the existence of supersymmetry provides a complete answer  we also need mechanisms for its partial breaking ).



#12
Dec212, 08:39 AM

P: 755

There are nonsusy schemes, like "little Higgs". They too require new particles that aren't showing up. The "SMonly" answer is ShasposhnikovWetterich 2009, who even predicted the Higgs mass (!), by assuming that gravity at the Planck scale is "asymptotically safe". I think this behavior is inconsistent with conventional ideas about micro black hole thermodynamics (and virtual micro black holes should be copiously produced at those energies), but the idea of getting the Higgs mass (and stabilizing it) from special highenergy boundary conditions on RG flow obviously deserves a lot more attention.
Regarding Thiemann's unconventional method of quantization, I don't know the status of attempts to make it work for ordinary quantum fields, just that from a QFT perspective, it's an example of dangerous tinkering with something that was already working fine. But regarding strings... the worldsheet metric that is introduced, in passing from the NambuGoto action to the Polyakov action  rather than being an ugly complication, it's the gateway to everything that makes string theory what it is. The symmetries of the worldsheet implied by the metric are actually what demands a spacetime background consistent with general relativity (spacetime coordinates of points on the string translate to bosonic fields "on the string", conformal symmetry at the quantum level requires that the beta functions of these fields are zero, and that in turn implies Ricci flatness for the spacetime metric). I think it leads to holography too, though I can't quite state that argument. Even if we wanted to talk about noncommutative or nongeometric "strings", I think we would want to preserve the abstract algebraic properties (e.g. of amplitudes) associated with the conformal symmetry, if we wished to regard these new models as connected to the string theory enterprise. 


#13
Dec212, 12:31 PM

P: 343

So the on metric on the world sheet is not physical right? It's an auxiliary field introduced to make one's life easier. Then the choice of a flat metric is arbitrary too. Is there then a deeper reason that 2d conformal field theory plays such an important role in string theory?



#14
Dec312, 07:32 AM

Sci Advisor
P: 912

I would say that it is a counting argument. A metric has 3 components, which can be gauge fixed by 2 gct's and one Weyl rescaling. However, the intersection of Weyl rescalings and gct's is not empty, so you can still perform a Weyl rescaling on the metric and undo the effect on the metric with a gct without messing up the choice of a flat wsmetric. Hence, you have more than just Poincare symmetry for the chosen worldsheet metric. Of course, this phenomena is not unfamiliar; it is very often the case that a choice of gauge doesn't completely fix the gauge freedom one has (think about GR or Maxwell). I hope this more or less answers your question :) 


#15
Dec612, 11:05 AM

P: 530

Back to the original subject, one has to be careful about nontechnical journalism. It sometimes turns into a game of telephone.
The latest news from the MasterCode project is indeed on the Bs>mu+mu decay fraction. It agrees with the Standard Model to within a factor of 2 or so. That's been presented as trouble for SUSY in various news articles, but it need not be. In fact, the MasterCode team discovered that that decay does not add very much to constraints on SUSY, at least in the CMSSM and the NUHM1 subsets of the MSSM. 


#16
Dec612, 10:15 PM

P: 530

That aside, SUSY has been incorporated into string theory to make it handle fermions. Otherwise, fermions would be some awkward outside addon. Adding SUSY has some other nice outcomes, like getting rid of the bosonic string's tachyon, and reducing the number of spacetime dimensions from 26 to 10.
But while there is only one kind of bosonic string, there are 5 kinds of SUSY strings or superstrings, and these are related by dualities. They are also limits of something called Mtheory. We don't see SUSY at readilyaccessible energies, so SUSY must be broken somewhere between 1 TeV and the Planck mass. So there's a serious question of whether we may ever be able to observe SUSY effects, if SUSY is a real symmetry at high energies. 


#17
Dec1912, 01:29 AM

Sci Advisor
P: 8,657

http://arxiv.org/abs/hepth/0612165 http://arxiv.org/abs/1208.5653 "avoids low energy supersymmetry altogether, but invokes conformal symmetry to explain and stabilize the electroweak hierarchy, postulating the absence of any intermediate scales between the electroweak scale and the Planck scale." 


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