2024/09/12 by Nathaniel Craig, Craig, Nathaniel, Emanuele Gendy +3
Mathematics · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2409.08325
openalex publication_date 2024/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the theory of a scalar in the fundamental representation of the internal supergroup SU(N|M). Remarkably, for M=N+1 its tree-level mass does not receive quantum corrections at one loop from either self-coupling or interactions with gauge bosons and fermions. This property comes at the price of introducing both degrees of freedom with wrong statistics and with wrong sign kinetic terms. We detail a method to break SU(N|M) down to its bosonic subgroup through a Higgs-like mechanism, allowing for the partial decoupling of the dangerous modes, and study the associated vacuum structure up to one loop.