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

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

2004-08-26

arxiv.org/abs/hep-th/0408200v2

JHEP0412:023,2004

Physics

High Energy Physics

High Energy Physics - Theory

33 pages latex, 1 figure, references added

Scientific paper

10.1088/1126-6708/2004/12/023

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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