Abstract In this work, we study a codimension-one thick brane in modified symmetric teleparallel gravity for the specific additive ansatz f (Q, T) = Q + k₁ Q^n + k₂ T f (Q, T) = Q + k 1 Q n + k 2 T. Using two physically motivated warp factor, we construct the full brane system, derive background solutions, and analyze how nonmetricity corrections and the matter-trace coupling modify brane internal structure and graviton localization. For both warp profiles, we obtain the corresponding Schrödinger-like equation for tensor perturbations, identify conditions for volcano and multi-well effective potentials, and determine when a localized zero mode arises. We discuss the physical implications of our results, such as possible short-range corrections to Newton’s law and resonant Kaluza–Klein modes, and outline observational prospects and directions for future work.
Belchior et al. (Wed,) studied this question.
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