Open superstring first mass level effective Lagrangian: massive Spin-3/2 fields in an electromagnetic background. (English) Zbl 1520.83010
Summary: We derive fully explicit equations of motion, and the associated set of constraints, describing the propagation in a flat space-time of a charged spin-3/2 massive state in a constant electromagnetic background. For this purpose, we provide the Lagrangian for the physical fermionic fields in the first massive level of the open superstring. We first write a compact Lagrangian, allowing a simple derivation of the equations of motion and constraints. Then another one is given that yields directly a decoupled system of equations, though the fields of different spins look coupled at the level of the Lagrangian.
MSC:
| 83C10 | Equations of motion in general relativity and gravitational theory |
| 70H45 | Constrained dynamics, Dirac’s theory of constraints |
| 14B25 | Local structure of morphisms in algebraic geometry: étale, flat, etc. |
| 78A35 | Motion of charged particles |
| 81V74 | Fermionic systems in quantum theory |
| 78A30 | Electro- and magnetostatics |
| 70H03 | Lagrange’s equations |
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