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If the SAML response is successful and page is not loading post that then the issue is with the application
Application sends the authentication SAML request to Identity provider. Identity provider prompts for credentials and post providing credentials authentication happens. Post authentication identity provider sends the SAML response to application with claims configured.
Once SAML token is received by application it will validate the token and application will redirect to its own page or loads the user profile depending on application behavior.
If SAML token is successful and post that application page is not loading correctly then the issue is on application side.
Let me know if you have any further questions on this.
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