Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9861438 | Physics Letters B | 2005 | 6 Pages |
Abstract
We derive stringy symmetries with conserved charges of arbitrarily high spins from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string. These symmetries are valid to all energy αⲠand all loop orders Ï in string perturbation theory. The high-energy limit αâ²ââ of these stringy symmetries can then be used to fix the proportionality constants between scattering amplitudes of different string states algebraically without referring to Gross and Mende's saddle point calculation of high-energy string-loop amplitudes. These proportionality constants are, as conjectured by Gross, independent of the scattering angle ÏCM and the order Ï of string perturbation theory. However, we also discover some new nonzero components of high-energy amplitudes not found previously by Gross and Manes. These components are essential to preserve massive gauge invariances or decouple massive zero-norm states of string theory. A set of massive scattering amplitudes and their high energy limit are calculated explicitly to justify our results.
Related Topics
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Authors
Chuan-Tsung Chan, Jen-Chi Lee,