Exploring S-Dualities in Quantum Field Theories: A Question on Lagrangians

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In summary, the conversation is discussing the concept of dualities in quantum field theory (QFT) and whether there is a QFT with a conjectured S-duality where the corresponding classical theories have vastly different Lagrangians. The speaker is seeking an example of such a QFT or confirmation that it is not possible.
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metroplex021
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Hi folks: I have a question on dualities. Does anyone know of a QFT with a (conjectured) S-duality, such that the two classical theories corresponding to that QFT have very different Lagrangians? That is, such that the two classical theories that define the QFT cannot be expressed as essentially same Lagrangian but with the elementary and composite fields interchanged in each case?

I'd really appreciate an example -- or also to know if it isn't possible. Thanks!
 
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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 

1. What are S-dualities?

S-dualities are a concept in theoretical physics that describes the relationship between different physical theories. Specifically, it refers to the idea that two seemingly different physical theories can be equivalent to each other under certain transformations.

2. How do S-dualities work?

S-dualities are based on the concept of symmetry, where a transformation can be applied to a physical system without changing its overall behavior. In S-dualities, this transformation involves swapping certain variables, such as electric and magnetic charges, while keeping the underlying mathematical structure of the theory intact.

3. What is the significance of S-dualities in physics?

S-dualities have important implications in understanding the fundamental nature of the universe. They provide a deeper understanding of the connections between different physical theories and can lead to new insights and predictions. They also play a key role in the study of string theory and its applications to other areas of physics.

4. Are S-dualities proven to be true?

While there is strong evidence supporting the existence of S-dualities, they have not been proven to be true in all cases. They are based on mathematical symmetries and have been observed in certain physical theories, but more research is needed to fully understand the extent of their validity.

5. Can S-dualities be applied to real-world situations?

While S-dualities were initially developed in the context of theoretical physics, they have been applied to real-world situations in various fields, such as black hole physics, quantum field theory, and condensed matter physics. However, their practical applications are still being explored and developed.

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