Physics:Seiberg–Witten map

Short description: 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

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