As per "Towards an Ontology of Terms on Technical Debt" paper published by the Software Engineering Institute, technical debts can be categories in:

* Architecture Debt

* Build Debt

* Code Debt

* Defect Debt

* Design Debt

* Documentation Debt

* Infrastructure Debt

* People Debt

* Process Debt

* Requirement Debt

* Service Debt

* Test Automation Debt

* Test Debt

See the paper published here: https://resources.sei.cmu.edu/library/asset-view.cfm?assetid=312135