Seiberg–Witten map

Special map used in gauge theory and string theory

The Seiberg–Witten map is a map used in gauge theory and string theory introduced by Nathan Seiberg and Edward Witten which relates non-commutative degrees of freedom of a gauge theory to their commutative counterparts. It was argued by Seiberg and Witten that certain non-commutative gauge theories are equivalent to commutative ones and that there exists a map from a commutative gauge field to a non-commutative one, which is compatible with the gauge structure of each.

## References

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* Seiberg, Nathan; Witten, Edward (1999). "String theory and noncommutative geometry". Journal of High Energy Physics. 1999 (9): 032. arXiv:hep-th/9908142. Bibcode:1999JHEP...09..032S. doi:10.1088/1126-6708/1999/09/032. S2CID 668885.

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