IT Service Management Connector (ITSM) is the correct option.

The IT Service Management Connector (ITSM) integrates Azure Monitor and Log Analytics with ITSM platforms such as ServiceNow so that alerts and log based conditions can automatically create incidents in the external ticketing system. This connector maps alert or log event fields to incident fields and supports automated ticket creation for events like failed authentication attempts.

Application Insights Connector is not correct because Application Insights is focused on collecting application telemetry and diagnostics and it does not itself provide the dedicated, supported integration to create ServiceNow incidents from Log Analytics alerts in the same way that the ITSM connector does.

Azure Integration Connector is not correct because there is no Log Analytics solution by that exact name that provides direct incident creation in ServiceNow. It is not the supported connector for forwarding alerts to an ITSM tool.

SQL Server Connector is not correct because that connector targets ingestion of SQL Server telemetry and performance data into Log Analytics and it does not handle creating incidents in ServiceNow for authentication failures from an application.

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