I would start by finding some recent reviews of the burnout literature to see where they say the gaps in the literature are. Most such papers devote a little space, usually at the end, to discuss future directions.
I agree with all the colleagues. I would like to suggest that burnout depends a lot on the evaluation, gymkhana as I use to say, that professors (we) are submitted, the kind of evaluation used on each country that varies a lot (e.g. Brazil is partially different compared to European countries). We had a clear acceleration of our work, lots of bureaucracy and what we found in our literature review is that the higher programs had a higher work-related illness (described above) and probably burnout.
This work describes problems in academia that could help:
Bal, P. M., Dóci, E., Lub, X., Van Rossenberg, Y. G. T., Nijs, S., Achnak, S., Briner, R. B., Brookes, A., Chudzikowski, K., De Cooman, R., De Gieter, S., De Jong, J., De Jong, S. B., Dorenbosch, L., Ghoreishi Galugahi, M. A., Hack-Polay, D., Hofmans, J., Hornung, S., Khuda, K., … Van Zelst, M. (2019). Manifesto for the future of work and organizational psychology. European Journal of Work and Organizational Psychology, 28(3), 289–299. https://doi.org/10.1080/1359432X.2019.1602041
Here we describe a work of measure in the grad program, that also could be "food for thought" of predictors (I know that the article has some problem in its English, it would be originally published in Portuguese):
Queiroz, K. R. de, Pérez-Nebra, A. R., & Queiroga, F. (2020). Measurement Scales of Reactions to the Assessment of Graduate Programs: Evidences of Factorial Validity. Psico-USF, 25(3), 451–465. https://doi.org/10.1590/1413-82712020250305
The relation between well-being and performance with the relation between illbeing and high performance:
Pérez-Nebra, A. R., Ayala, Y., Tordera, N., Peiró, J. M., & Queiroga, F. (2021). The Relationship Between Performance and Well-Being at Work: a Systematic Review of 20 Years and Future Perspectives in Brazil. Revista Psicologia: Organizações e Trabalho, 21(2), 1367–1376. https://doi.org/10.5935/rpot/2021.2.21469
You can never find it in this way. The combination of multiple variables and different modelling techniques always give an opportunity to work on even very much used variable. The only way to find out is to do some extensive liferature review and try to identify gaps. Best of lucks with your work 👍👍
...burnout is basically environment dependent, the variables and/or factors leading to burnout in an academic or faculty environment are also dependent on what the faculty staff are doing or trying to do. In Nigeria particularly, a staff burnout could be related to ratio of students to staff/lecturers, conduct of practical vs apparatus or laboratory equipment. Staff research vs consumables, research, publication and grants sourcing for those high profile journals Q1, Q2, Q3 politics and policies, developed countries vs developing countries university, laboratory and laboratory test results grading and stereotyping are basically the sources of burnout down here in Nigeria. Therefore, burnout among faculty staff is dependent on environment, country, academic politics and journal policies and stereotypic judgements...... for me the research is timely, useful and can serve as a gladiating research platform that could lead to other issues affecting universal grading, recognition and judgements and as well a platform for responsible and responsive academic and results profiling of academics in the globe...please go ahead..