Symmetries of Heterotic String Theory

Abstract

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 $G^{\prime }$ and $H^{\prime }$ 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 $\widehat{sl}(3,R)$ that arise in the case of Einstein-Maxwell equations is pointed out.

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

References in corpus (2)

• Space Time Interpretation of S-Duality and Supersymmetry Violations of T-Duality
• "Separation of Variables and Hamiltonian Formulation for the Ernst Equation"

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• String theory extensions of Einstein-Maxwell fields: the static case
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