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1
Definition
2
Matrix Form
3
Properties
4
See also
5
References
't Hooft symbol
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From Wikipedia, the free encyclopedia
Definition[edit]
is the 't Hooft symbol:
-
Where and are instances of the Kronecker delta, and is the Levi-Civita symbol.
In other words, they are defined by
()
-
-
where the latter are the anti-self-dual 't Hooft symbols.
Matrix Form[edit]
In matrix form, the 't Hooft symbols are
-
and their anti-self-duals are the following:
-
Properties[edit]
They satisfy the self-duality and the anti-self-duality properties:
-
Some other properties are
-
-
-
-
-
The same holds for except for
-
and
-
Obviously due to different
duality properties.
Many properties of these are tabulated in the appendix of 't Hooft's paper[1] and also in the article by Belitsky et al.[2]
See also[edit]
References[edit]
Retrieved from "https://en.wikipedia.org/w/index.php?title=%27t_Hooft_symbol&oldid=1209139567"
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