Hi @Sumedh_Gujar,
Even that most of the comments are on how to prevent losing SYNC connection I want to step back you your original question.
If I can correctly the question is actually - will there be split-brain (active-active) situation if the sync link is down?
The answer is no. In contrast to other vendors, Checkpoint is using all cluster interfaces to monitor the member. This means that if the sync link is down, the FW will check if it still receive ccp packets from the other member through any of the cluster interfaces. You will probably loose connection table synchronization (if I am not wrong, connection sync will happen only via sync link, but heartbeat monitoring is via all cluster interfaces), but no split-brain scenario should occur. A failover will occur, because the active member will report interface down, the second member will become active ( attention) since it also has interface down.