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pinu
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I am learning AdS/CFT and my interest is on condensed matter systems. Can someone tell me what are the achievements of the correspondence in the cond. mat sector till now?
pinu said:Actually, the idea is amazing ! But what are your views about its future?
Are you B. Swingle?Physics Monkey said:Yes, it is a nice attempt to formalize the ideas of my original paper in the continuous setting.
Physics Monkey said:But one thing holographic duality has had a big impact on, at least for me personally, is entanglement.
pinu said:I have a very basic question: Can AdS/CFT conjecture be applied to field theories without any conformal / Poincare symmetries (non relativistic)??
haushofer said:People think so, but to actually proof that this is possible needs an explicit embedding into string theory. This has only been proven for a few relativistic cases.
Well, in the original proof of the duality between N=4 SYM and type IIB String Theory one crucial ingredient is e.g. D-branes. In the duality you need ingredients of string theory as we know understand them, so I don't get your argument that "we don't know what it actually is". That's true, but to write down an explicit mapping we need to show the relation between objects in one theory and the other.Physics Monkey said:I have to slightly disagree. I don't see any reason why string theory should be considered the ultimate arbiter of correctness especially since we don't even know what it is.
Also, a lot of interesting non-relativistic or condensed matter physics can be obtained via relevant deformations of a CFT. One simply has to perturb it via a chemical potential or magnetic field, etc. Certainly we know many string theory versions of this story.
AdS/CMT stands for Anti-de Sitter/Conformal Field Theory. It is a theoretical framework that combines concepts from string theory and quantum field theory to study the properties of black holes and other fundamental aspects of our universe.
Some key achievements of AdS/CMT include providing insights into the holographic principle, understanding the dynamics of black holes, and offering a new perspective on quantum gravity. It has also been used to study condensed matter systems, such as superconductors and superfluids, and has led to new developments in these fields.
AdS/CMT is based on the AdS/CFT correspondence, which states that a theory in anti-de Sitter space (a mathematical model of a curved space-time) is equivalent to a conformal field theory (a theory that describes the behavior of quantum fields at the boundary of this space). This correspondence has been used to connect string theory, which is a theory of quantum gravity, to conformal field theories, providing a new way to study both theories.
AdS/CMT has been applied to a variety of fields, including condensed matter physics, high energy physics, and cosmology. It has been used to study the properties of black holes, the behavior of strongly coupled systems, and the dynamics of quantum gravity. It has also led to new developments in areas such as quantum information theory and quantum computing.
One current challenge in AdS/CMT research is to understand how to extend the correspondence to more general spacetimes beyond anti-de Sitter space. Another direction for future research is to explore the connections between AdS/CMT and other areas of physics, such as quantum field theory and cosmology. Additionally, there is ongoing research to apply AdS/CMT techniques to real-world condensed matter systems and to further develop its potential applications in technology and industry.