AdS/CFT Correspondance

[Lakshya]

What's AdS/CFT Correspondance and Holographic Principle. Do they have got any relation with each other. Please don't post wikipedia links.

[bottomlander]

What's AdS/CFT Correspondance and Holographic Principle. Do they have got any relation with each other. Please don't post wikipedia links.

Dear Lakshya,

The fact being a Grade 9 student with the age of only 13 shows that you are a prodigy.

However, one year reading in relativity and quantum mechanics seems too hard to promote any person (even for a genius) to go beyond wikipedia links on advanced theoretic physics topics like AdS/CFT Correspondance and Holographic Principle of string theory.

Frankly speaking, I think you have read the wikipedia links already. If you think the materials over there are too easy/simple for you, you should have easily found other sources. If you like they are too technical for you. Don't expect that these topics can be rewritten with the language and level of popular science. Popular science are often oversimplified. They lead readers to a wonderland (not a real physical world, not with real physical reality).

Best Regards. Bottomlander

[Lakshya]

Dear Lakshya,

The fact being a Grade 9 student with the age of only 13 shows that you are a prodigy.

However, one year reading in relativity and quantum mechanics seems too hard to promote any person (even for a genius) to go beyond wikipedia links on advanced theoretic physics topics like AdS/CFT Correspondance and Holographic Principle of string theory.

Frankly speaking, I think you have read the wikipedia links already. If you think the materials over there are too easy/simple for you, you should have easily found other sources. If you like they are too technical for you. Don't expect that these topics can be rewritten with the language and level of popular science. Popular science are often oversimplified. They lead readers to a wonderland (not a real physical world, not with real physical reality).

Best Regards. Bottomlander

Bottomlander, will you please explain me what's all this thing like like Holographic Principle? I am confused over it. I have read many articles on it and in every article I found AdS/CFT correspondance and wasn't able to understand it. Every article was different from the other. So, please can you explain it.

[bottomlander]

AdS/CFT Correspondance and Holographic Principle are very advanced mathematical/theoretical terms used only in string theory. There are hundreds of similar specialised terms used in string theory.

Any person who likes to work on string theory beyond the level of popular science needs to have a very strong background in advanced modern mathematics. At an age of 13, unless there is a team of professionals to tutor or provide you self-study resources up to that level, you need more time to manage it step by step to understand dozens of mathematical terms and special terms before handling AdS/CFT Correspondance and Holographic Principle.

Please note that these two terms have not yet been entered into a Standard Theory. Most terms if not of a Standard Theory will have different interpretations and explanations. That is why you found many articles are different from the others.

In the near future, no one here or anywhere can bring out "standard explanations" on those advanced terms of string theory (which is not yet a standard theory). And personally, I don't think those available "popular explanations" or "popular science explanations" are helpful/truthful.

Best Regards. Bottomlander

[RascalPuff]

Dear Bottomlander:
I could not agree with you more.
As far as Truly Yours is concerned, 'Superstrings', and the entire concept of string theory, may as well have been written by the gifted mathematician, Lewis Carroll - who was candid enough to let us know he was putting us on in the first, second and third places...

String Theory: a fortress of numbers founded on a house of cards, balanced on the back of a turtle, standing on an ensemble of previously uninventoried reptiles perched on a cloud of pink smoke reflected in a funhouse of mirrors. Noteworthy that Lakshya's intuition - if not refined insight - suggested (if not suspected?) as much.

Until further notice, I consider string theory (The elegantly counted out universe) to be an enormous diversion from time and effort better expended.

Thank you, sir.

Regards,
- RP

[neutralino]

What's AdS/CFT Correspondance and Holographic Principle. Do they have got any relation with each other. Please don't post wikipedia links.

I'll give your question an answer. I should note that I'm not an expert in this, but I found a link for you (http://www.damtp.cam.ac.uk/user/gr/public/holo/). Do you know what anti de-Sitter space is? Do you know what Conformal Field Theory is? I've never studied CFT, but have studied a fair bit of relativity (hence I know what AdS is) and touched on the some QFT. Thus, I found this site useful in answering the question. However, I have no idea if you will find it useful, since I don't know what you know!

This thread is also in the wrong place: this is not a cosmological theory!


Moderator note: Moved to General Physics... for now.

[NoldorEldar]

So, someone asked for AdS/CFT correspondences.....Here is a breif answer:

When computing the supergravity or type IIA or B pending on your conventions and taste for the day, you can by factorizing D=10 spacetime as either S^6xAdS^4 or S^5xAdS^5 compute the partion function and will turn out to be the same as if Yang-Mills theory was living on the sphere and gravity(Einstein or SUGRA) on the AdS^4 or AdS^5. So what does this mean in non-technical terms? Well AdS^4 is regular space-time viewed as a hyperboloid in five-dimensional space solving the quadric t^2-x^2-y^2-z^2-w^2=R^2. By that I have given you also the clue to a fundamental relation in physics, namely the generalized Maldacena conjecture. Now closed loops arise in type II theory and are are characteristic of gravity. Lee Smolin also deduced that after it was deduced by me.(The theorem is simple: Let X be a quantum theory of gravity, then it is necessarily a theory of closed strings.) Holography refers to the part of the background manifold that is not the AdS^4, also referred to as the bulk. If you base one end of the string on the space-time universe AdS^4 then by extending the string randomly in the other directions of the background manifold, namely the sphere and then returning to the same point higher up(Here I have taken away the point at infinity in the sphere and view it instead as R^4 which is the same thing if you add infinity to it.) and go back to the AdS^4 at some later time, which is the same thing as extending the string through the bulk with one side on each boundary. The dynamics in the bulk are described then by Yang-Mills. Lakeisha I can give you a simpler answer but I think you deserve a somewhat accurate answer.

[neutralino]

Good answer, although I'm not sure it'll mean much to anyone who hasn't studied topology/differential geometry (I'm guessing Lakysha hasn't since he's 13, but I may be wrong). Perhaps you could give the simpler answer that you speak of to ensure more people can understand?

[Lloyd Gillespie]

So, someone asked for AdS/CFT correspondences.....Here is a breif answer:

When computing the supergravity or type IIA or B pending on your conventions and taste for the day, you can by factorizing D=10 spacetime as either S^6xAdS^4 or S^5xAdS^5 compute the partion function and will turn out to be the same as if Yang-Mills theory was living on the sphere and gravity(Einstein or SUGRA) on the AdS^4 or AdS^5. So what does this mean in non-technical terms? Well AdS^4 is regular space-time viewed as a hyperboloid in five-dimensional space solving the quadric t^2-x^2-y^2-z^2-w^2=R^2. By that I have given you also the clue to a fundamental relation in physics, namely the generalized Maldacena conjecture. Now closed loops arise in type II theory and are are characteristic of gravity. Lee Smolin also deduced that after it was deduced by me.(The theorem is simple: Let X be a quantum theory of gravity, then it is necessarily a theory of closed strings.) Holography refers to the part of the background manifold that is not the AdS^4, also referred to as the bulk. If you base one end of the string on the space-time universe AdS^4 then by extending the string randomly in the other directions of the background manifold, namely the sphere and then returning to the same point higher up(Here I have taken away the point at infinity in the sphere and view it instead as R^4 which is the same thing if you add infinity to it.) and go back to the AdS^4 at some later time, which is the same thing as extending the string through the bulk with one side on each boundary. The dynamics in the bulk are described then by Yang-Mills. Lakeisha I can give you a simpler answer but I think you deserve a somewhat accurate answer.

Show me your strings, in a test-tube___They don't exist... As Lee Smolin has stated, String Theory, for over thirty years of trying, has shown no fundamental experimental evidence; though the ideas and maths may still lead to better classical understandings of quantum gravity... So, solve quantum gravity, or the unification of quantum and relative physics, and I may listen to you...

Regards,
Lloyd

[neutralino]

Here you go Lakshya: an Introduction to AdS-CFT.

Here's the abstract:

These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with supersymmetry, general relativity and string theory is helpful, but not necessary, as the course intends to be as self-contained as possible. I will introduce the needed elements of field and gauge theory, general relativity, supersymmetry, supergravity, strings and conformal field theory. Then I describe the basic AdS-CFT scenario, of ${\cal N}=4 $ Super Yang-Mills's relation to string theory in $AdS_5\times S_5$, and applications that can be derived from it: 3-point functions, quark-antiquark potential, finite temperature and scattering processes, the pp wave correspondence and spin chains. I also describe some general properties of gravity duals of gauge theories.

From what I gather, these notes are written for students with a firm grasp of quantum field theory, but not of relativity.