Could be the alternator, but for starters ... try some belt dressing and see if it stops.
'nother possibility is a weakened idler tension pulley ...
Since some have experienced throwing a belt on high rpm downshifts, the preferred OEM replacement is the LS2 tensioner, which has higher pulley sides ...

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^VIR Turn 3 '08^-MungoZ06-'03 QS/ModRed - NCCC, NASA NCM Member - Z06 Fest IV,V,VI,VII