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- W2756260070 abstract "We study the regularity problem of the nonlinear sigma model with gravitino fields in higher dimensions. After setting up the geometric model, we derive the Euler--Lagrange equations and consider the regularity of weak solutions defined in suitable Sobolev spaces. We show that any weak solution is actually smooth under some smallness assumption for certain Morrey norms. By assuming some higher integrability of the vector spinor, we can show a partial regularity result for stationary solutions, provided the gravitino is critical, which means that the corresponding supercurrent vanishes. Moreover, in dimension less than 6, partial regularity holds for stationary solutions with respect to general gravitino fields." @default.
- W2756260070 created "2017-09-25" @default.
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- W2756260070 date "2018-05-03" @default.
- W2756260070 modified "2023-09-24" @default.
- W2756260070 title "Partial regularity for a nonlinear sigma model with gravitino in higher dimensions" @default.
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- W2756260070 doi "https://doi.org/10.1007/s00526-018-1366-2" @default.
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