Nonabelian T-duals of the flat background

30th International Colloquium on Group Theoretical Methods in Physics

Hlavaty, L.^1 ; Petr, I.^1

Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Behova 7, Prague 1

115 19, Czech Republic^1

关键词: Classical fields;    Dual model;    Flat backgrounds;    General solutions;    Poincare group;    Scalar curvature;    Sigma model;    Solutions of wave equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012043/pdf
DOI  :  10.1088/1742-6596/597/1/012043

来源: IOP

【 摘 要 】

Classification of nonabelian T-duals of the flat matric in D=4 with respect to the four-dimensional continuous subgroups of the Poincare group is given. After dualizing the flat background we identify majority of dual models as conformal sigma models in plane- parallel wave backgrounds, most of them having torsion. We give their form in Brinkmann coordinates. Besides the pp-waves we find several diagonalizable curved metrics with nontrivial scalar curvature and torsion. Due to the nonabelian T-duality, we find general solution of classical field equations of all the sigma models in terms of d'Alembert solutions of wave equation.