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 language | English |
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Pages (from-to) | 215-244 |
Number of pages | 30 |
Journal | Transactions of the American Mathematical Society Series B |
Volume | 6 |
DOIs | |
Publication status | Published - 2019 |
Externally published | Yes |
Keywords
- Dirac-harmonic map
- Energy identity
- Gravitino
- Nonlinear sigma-model
- Pohozaev identity
- Supercurrent