Ignition has no support for this kind of authentication in its HTTP client.
You might be able to get something working using the [apache httpclient library(Apache HttpComponents – HttpClient Overview), which is available on the class path in Ignition.
In this post the OP manages to get it working using an NTCredentials object, perhaps that could be a starting place for Kerberos, which it seems apache httpclient does support: KerberosCredentials (Apache HttpClient 4.5.14 API)