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## S-dualityIn theoretical physics, ## Additional recommended knowledgeIn the case of four-dimensional quantum field theories, S-duality was understood by Ashoke Sen, Nathan Seiberg, and others. In this context, it usually exchanges the electric and magnetic fields (and the electrically charged particles with magnetic monopoles). See Montonen-Olive duality, Seiberg duality. Many more examples come from string theory: S-duality relates type IIB string theory with the coupling constant S-duality has been rigorously shown to hold in some lattice models. It depends on the Pontryagin dual group. In particular, in 2 dimensions, if the vertices can take on values in a locally compact Abelian group G and the action/energy only depends on the edges (e.g. the Ising model for In 3 dimensions, such a model would be dual to a lattice gauge model over the dual group G'. In 4 dimensions, a lattice gauge model with G as the gauge group would be dual to a lattice gauge model with G' as the gauge group (with the electric and magnetic fields interchanged). ## See also- T-duality
- U-duality
- S-duality (homotopy theory)
Categories: Statistical mechanics | Lattice models |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "S-duality". A list of authors is available in Wikipedia. |