Symmetries of Heterotic String Theory

Details Symmetries of Heterotic String Theory Symmetries of Heterotic String Theory

1995-06-07

arxiv.org/abs/hep-th/9506037v3

Nucl.Phys. B453 (1995) 181-198

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Few comments added, version to appear in Nuclear Physics B

Scientific paper

10.1016/0550-3213(95)00432-R

We study the symmetries of the two dimensional Heterotic string theory by following the approach of Kinnersley et al for the study of stationary-axially symmetric Einstein-Maxwell equations. We identify the finite dimensional groups $G'$ and $H'$ for the Einstein-Maxwell equations. We also give the constructions for the infinite number of conserved currents and the affine $\hat{o}(8, 24)$ symmetry algebra in this formulation. The generalized Ehlers and Harrison transformations are identified and a parallel between the infinite dimensional symmetry algebra for the heterotic string case with $\hat{sl}(3, R)$ that arise in the case of Einstein-Maxwell equations is pointed out.

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