Hi,
When you rebuild new trust relationship between two domain the authentication cross domain will be broken during the rebuilt.
Once the trust is rebuilt, the authentication cross forest and domain will be restored.
What we are worried about is this creating an issue where existing configuration is lost. EG: Domain B Security Group configured in Domain A stop working as SID have changed? Any other possible problems this might cause
The SID still the same. When you remove the trust , you will see the SID of Domain B Security group in domain A instead of its name. Because there is no suffix name resolution through trust . it's a normal behavior when the trust is deleted.
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