ENERGY QUANTIZATION FOR A NONLINEAR SIGMA MODEL WITH CRITICAL GRAVITINOS

Jürgen Jost, Ruijun Wu, Miaomiao Zhu

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We study some analytical and geometric properties of a twodimensional nonlinear sigma model with gravitino which comes from supersymmetric string theory. When the action is critical w.r.t. variations of the various fields including the gravitino, there is a symmetric, traceless, and divergence-free energy-momentum tensor, which gives rise to a holomorphic quadratic differential. Using it we obtain a Pohozaev type identity and finally we can establish the energy identities along a weakly convergent sequence of fields with uniformly bounded energies.

Original languageEnglish
Pages (from-to)215-244
Number of pages30
JournalTransactions of the American Mathematical Society Series B
Volume6
DOIs
Publication statusPublished - 2019
Externally publishedYes

Keywords

  • Dirac-harmonic map
  • Energy identity
  • Gravitino
  • Nonlinear sigma-model
  • Pohozaev identity
  • Supercurrent

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