### Abstract

We identify spacetime symmetry charges of string theory from an infinite number of zero-norm states (ZNS) with arbitrary high spin in the old covariant first quantized string spectrum. We give various evidences to support this identification. These include massive sigma-model calculation, Witten string field theory calculation, 2D string theory calculation and, most importantly, three methods of high-energy stringy scattering amplitude calculation. The last calculations explicitly prove Gross's conjectures in 1988 on high energy symmetry of string theory.

Original language | English |
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Title of host publication | A CENTURY OF RELATIVITY PHYSICS |

Subtitle of host publication | XXVIII Spanish Relativity Meeting - ERE 2005 |

Pages | 484-488 |

Number of pages | 5 |

DOIs | |

State | Published - 1 Dec 2006 |

Event | A CENTURY OF RELATIVITY PHYSICS: XXVIII Spanish Relativity Meeting - ERE 2005 - Oviedo, Spain Duration: 6 Sep 2006 → 10 Sep 2006 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 841 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | A CENTURY OF RELATIVITY PHYSICS: XXVIII Spanish Relativity Meeting - ERE 2005 |
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Country | Spain |

City | Oviedo |

Period | 6/09/06 → 10/09/06 |

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## Cite this

Chan, C. T., Ho, P. M., Lee, J-C., Teraguchi, S., & Yang, Y. (2006). Zero-norm states and stringy symmetries. In

*A CENTURY OF RELATIVITY PHYSICS: XXVIII Spanish Relativity Meeting - ERE 2005*(pp. 484-488). (AIP Conference Proceedings; Vol. 841). https://doi.org/10.1063/1.2218219