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arXiv · hep-th/0408200

Two and three loop alpha' corrections to T-duality: Kasner and Schwarzschild

Ghasem Exirifard·Martin O'Loughlin
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Abstract

Two and three loop alpha' corrections are calculated for Kasner and Schwarzschild metrics, and their T-duals, in the bosonic string theory. These metrics are used to obtain the two and three loop alpha' corrections to T-duality. It is noted in particular that the inclusion of alpha' corrections and the requirement of consistency with the alpha'-corrected T-duality for the Kasner and Schwarzschild metrics enables one to fix uniquely the covariant form of the T-duality rules at three loops. As a generalization of the T-dual of the Schwarzschild geometry a class of massless geometries is presented.

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Ghasem Exirifard, Martin O'Loughlin. 2004-09-22. Two and three loop alpha' corrections to T-duality: Kasner and Schwarzschild. https://doi.org/10.1088/1126-6708%2F2004%2F12%2F023

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