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arXiv · 1406.0971

Plane-parallel waves as duals of the flat background

Ladislav Hlavaty·Ivo Petr
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Abstract

We give a classification of non-Abelian T-duals of the flat metric in D=4 dimensions with respect to the four-dimensional continuous subgroups of the Poincare group. 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. We find, besides the plane-parallel waves, several diagonalizable curved metrics with nontrivial scalar curvature and torsion. Using the non-Abelian T-duality, we find general solution of the classical field equations for all the sigma models in terms of d'Alembert solutions of the wave equation.

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Ladislav Hlavaty, Ivo Petr. 2014-06-04. Plane-parallel waves as duals of the flat background. https://doi.org/10.1088/0264-9381/32/3/035005

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