What is the notation for the dual field strength in D=11 Five-Brane theory?

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The notation for the dual field strength in D=11 Five-Brane theory is defined as \(\widetilde{F}_{mn}\equiv\frac{1}{\sqrt {(\partial a)^2}}F^*_{mnl}\partial^la(x)\). The expression \((\partial a)^2\) refers to the contraction of derivatives of the field \(a\), specifically represented as \(\partial_ra\partial^ra\). This notation is crucial for understanding the covariant action presented in the paper "Covariant Action for a D=11 Five-Brane with the Chiral Field".

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rbwang1225
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Hello, I am reading the paper "Covariant Action for a D=11 Five-Brane with the Chiral Field".
I don't understand the [itex](\partial a)^2[/itex] in the dual field strength [itex]\widetilde{F}_{mn}\equiv\frac{1}{\sqrt {(\partial a)^2}}F^*_{mnl}\partial^la(x)[/itex].
Is it ##\partial_ra\partial^ra##?

Regards.
 
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Yes, I think that could be correct.
 
ok, thank you!
 

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