Twisted Bianchi identity for D6-branes from M-theory?
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The descent of the M2/M5-brane charges to the Dp-brane charges and their twisted Bianchi identites dFp+2=H3∧FpdFp+2=H3∧Fp is straightforward forp=0,2,4p=0,2,4.
The M-theory origin of the D6 brane charge F8F8 is more subtle, as its M-theory lift involves the field of gravity. The derivation of the correct Bianchi identity dF8=H3∧H6dF8=H3∧H6 from 11d needs to use the SUGRA equations of motion.
...................................
HEAR IS YOUR ANSWER
The descent of the M2/M5-brane charges to the Dp-brane charges and their twisted Bianchi identites dFp+2=H3∧FpdFp+2=H3∧Fp is straightforward forp=0,2,4p=0,2,4.
The M-theory origin of the D6 brane charge F8F8 is more subtle, as its M-theory lift involves the field of gravity. The derivation of the correct Bianchi identity dF8=H3∧H6dF8=H3∧H6 from 11d needs to use the SUGRA equations of motion.
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