Extended supersymmetry

In theoretical physics, extended supersymmetry is supersymmetry[1] whose infinitesimal generators Qiα carry not only a spinor index α, but also an additional index i=1,2…𝒩 where 𝒩 is integer (such as 2 or 4).

Extended supersymmetry is also called 𝒩=2, 𝒩=4 supersymmetry, for example.[2] Extended supersymmetry is very important for analysis of mathematical properties of quantum field theory and superstring theory. The more extended supersymmetry is, the more it constrains physical observables and parameters.

## See also

* Supersymmetry algebra
* Harmonic superspace
* Projective superspace

## References

1. ↑ West, Peter (1990-05-01). Introduction To Supersymmetry And Supergravity (Revised And Extended 2nd ed.). World Scientific Publishing Company. p. 3. ISBN 978-981-310-371-9. https://books.google.com/books?id=4QI8DQAAQBAJ&dq=%22Extended+supersymmetry%22+-wikipedia&pg=PA3. Retrieved 2025-07-25.
2. ↑ Weinberg, Steven (2005-05-09). The Quantum Theory of Fields: Volume 3, Supersymmetry. Cambridge University Press. ISBN 978-1-139-64343-6. https://books.google.com/books?id=QMkgAwAAQBAJ&dq=%22Extended+supersymmetry%22+-wikipedia&pg=RA2-PT178. Retrieved 2025-07-25.

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