Can Quantum Field Theories Exhibit S-Dualities with Distinct Lagrangians?

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SUMMARY

The discussion centers on the existence of quantum field theories (QFTs) that exhibit S-dualities with distinct Lagrangians. Participants seek examples of QFTs where the classical theories associated with them cannot be represented by similar Lagrangians differing only in the interchange of elementary and composite fields. The inquiry highlights the complexity of dualities in theoretical physics and the need for concrete examples or evidence regarding the possibility of such distinct Lagrangians.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with S-duality concepts
  • Knowledge of Lagrangian mechanics in theoretical physics
  • Basic grasp of classical field theories
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  • Research specific examples of QFTs exhibiting S-duality
  • Study the implications of distinct Lagrangians in dualities
  • Explore the role of composite fields in QFT
  • Investigate recent findings in theoretical physics regarding dualities
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The discussion is beneficial for theoretical physicists, researchers in quantum field theory, and students exploring advanced concepts in dualities and Lagrangian formulations.

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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