A connector emanating from an Assignment is called
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Local Action
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Flow Action
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Branch
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Assignment Connector
A connector emanating from an Assignment is called a Flow Action because it represents an action that moves the flow forward. When a user performs an action (like Submit or Approve), they're triggering a Flow Action that routes the work to the next step. Local Actions are different - they're actions you take WITHOUT leaving the current assignment.
In Pega, the connector line coming out of an Assignment shape is specifically called a Flow Action — it represents the action a user takes to complete that assignment and move the work object forward. 'Local Action' refers to something different (an action that updates the object without progressing the flow), and 'Branch'/'Assignment Connector' aren't the standard Pega terminology for this connector type.