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The 't Hooft symbol is a collection of numbers which allows one to express the generators of the SU Lie algebra in terms of the generators of Lorentz algebra. The symbol is a blend between the Kronecker delta and the Levi-Civita symbol. It was introduced by Gerard 't Hooft. It is used in the construction of the BPST instanton.

ημν is the 't Hooft symbol:

In other words, they are defined by

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