On the integrability of evolving membranes

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Sotomayor, Adrián^1 ; Vega, Luis Cortés^1 ; Restuccia, Alvaro^2

Departament of Mathematics, Antofagasta University, Antofagasta, Chile^1

Physics Departament, Antofagasta University, Antofagasta, Chile^2

关键词: Duality transformation;    Integrability;    Integrable equations;    Membrane theory;    Supergravity;    Target space;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012031/pdf
DOI  :  10.1088/1742-6596/633/1/012031

来源: IOP

【 摘 要 】

We analyze an integrable sector of the space of solutions of the four dimensional (super) membrane theory, where the target space is locally Minkowskian and hence a solution of the Supergravity equations. By performing a duality transformation we relate it to the 1+1 Born-Infeld integrable equation.