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arXiv · 1612.08015

Plane-parallel waves as duals of the flat background II: T-duality with spectators

Filip Petrasek·Ladislav Hlavaty·Ivo Petr
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Abstract

We give the classification of T-duals of the flat background in four dimensions with respect to one-, two-, and three-dimensional subgroups of the Poincar\'e group using non-Abelian T-duality with spectators. As duals we find backgrounds for sigma models in the form of plane-parallel waves or diagonalizable curved metrics often with torsion. Among others, we find exactly solvable time-dependent isotropic pp-wave, singular pp-waves, or generalized plane wave (K-model).

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Filip Petrasek, Ladislav Hlavaty, Ivo Petr. 2016-12-23. Plane-parallel waves as duals of the flat background II: T-duality with spectators. https://doi.org/10.1088/1361-6382%2Faa7908

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