Research
Mark Trodden's main research areas are the cosmological implications of Quantum Field Theories, General Relativity, and Superstring Theories. Trodden, with Sean Carroll, introduced a new class of topological defects in ordinary field theories. Trodden's work in theoretical studies and understanding of the early universe has been widely cited and relied upon by the scientific community.
Specifically, Trodden's research focuses on configurations consisting of topological solitons which end on others of equal or higher dimension. In such models, the higher dimensional defect provides Dirichlet boundary conditions for the lower dimensional one.
Trodden, with his co-workers Anne-Christine Davis and Steven Davis, has also investigated the particle physics and cosmological properties of topological defects in supersymmetic theories. Their first study, dealing with abelian theories demonstrated that all spontaneously broken abelian supersymmetric theories admit cosmic string solutions which are superconducting due to fermion zero modes. Further, by using supersymmetry transformations, they showed how to calculate the supercurrents in terms of the background string fields. They also managed to extended these results to non-abelian theories and investigated the effects of soft supersymmetry breaking.
Trodden describes himself as a "particle cosmologist."
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