Split link detection for sl(P) link homology in characteristic P

We provide a sufficient condition for splitness of a link in terms of its reduced (Formula presented.) link homology with arbitrary field coefficients. The proof of sufficiency uses Dowlin's spectral sequence and sutured Floer homology with twisted coefficients. If (Formula presented.) is prime and the coefficient field is of characteristic (Formula presented.), then the sufficient condition for splitness is also necessary. When (Formula presented.), we recover Lipshitz–Sarkar's split link detection result for Khovanov homology with (Formula presented.) coefficients.