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William Nelso

- 21

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Does anyone know the definition of the "star groups" notated e.g. SU*(N), SO*(N) ??

The paper I am reading states for example that SO(5,1) is isomorphic to SU*(4).

(Ref Kugo+Townsend, Nuc. Phys. B221, p. 357, "Supersymmetry and the division algebras")

In fact it has a "definition" of these groups, however I am not able to understand it. It appears to say that

SU*(N) consists of elements X of SL(N,C) such that

X = B

^{-1}X* B

where B is the spinor conjugation operator (and N is the dimension of a spinor rep of the SO(D,1) that the paper is talking about)