Supergravity, a field theory that combines the principles of supersymmetry and general relativity
BPS vortices, which are those vortices that preserve some supersymmetry, have masses which are given by the FI term of the gauge theory.
Generalized Kähler manifolds, and their twisted counterparts, are equivalent to the bihermitian manifolds discovered by Sylvester James Gates, Chris Hull and Martin Roček in the context of 2-dimensional supersymmetric quantum field theories in 1984.
Supersymmetry removes the power-law divergences of the radiative corrections to the Higgs mass and solves the hierarchy problem as long as the supersymmetric particles are light enough to satisfy the Barbieri–Giudice criterion.
His research interests include supersymmetry, string theory and applications of generalized complex geometry, and with S. J. Gates, M. T. Grisaru, and W. Siegel, Rocek coauthored Superspace, or One thousand and one lessons in supersymmetry (1984), the first comprehensive book on supersymmetry.
He is pursuing ongoing research into string theory, supersymmetry, and supergravity at the MIT Center for Theoretical Physics.
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With M. T. Grisaru, M. Rocek and W. Siegel, Gates coauthored Superspace, or One thousand and one lessons in supersymmetry (1984), the first comprehensive book on supersymmetry.