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The Poincare' coset models ISO(d-1,1)/R^n and T-duality

Roberto Casadio·Benjamin Harms
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Abstract

We generalize a family of Lagrangians with values in the Poincaré group ISO(d-1,1), which contain the description of spinning strings in flat (d-1)+1 dimensions, by including symmetric terms in the world-sheet coordinates. Then, by promoting a subgroup H=R^n, n less than or equal to d, which acts invariantly from the left on the element of ISO(d-1,1), to a gauge symmetry of the action, we obtain a family of sigma-models. They describe bosonic strings moving in (generally) curved, and in some cases degenerate, space-times with an axion field. Further, the space-times of the effective theory admit in general T-dual geometries. We give explicit results for two non degenerate cases.

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Roberto Casadio, Benjamin Harms. 1997-03-24. The Poincare' coset models ISO(d-1,1)/R^n and T-duality. https://doi.org/10.1103/physrevd.57.7507

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