The research of Prof. Gates focuses on mathematical models where the property of supersymmetry is investigated in fundamental areas of mathematics and theoretical physics, principally within the domains of particle, field, and string theory.
These research efforts pioneered:
(a.) the collaborative development of superspace supergravity.
(b.) the development and use of superfield, and superspace techniques,
(c.) the introduction of special Kahler manifolds and bi-hermitian manifolds in the literature,
(d.) inauguration of Chern-Simons models containing conformal symmetry and large extended SUSY, and
(e.) fundamental studies of the representation theory of SUSY via graph theory, coding theory and creating bridgeways to algebraic geometry, combinatorics, error-correcting codes.
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