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弦對稱及其高能極限

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行政院國家科學委員會專題研究計畫 成果報告

弦對稱及其高能極限

計畫類別： 個別型計畫

計畫編號： NSC93-2112-M-009-023-

執行期間： 93 年 08 月 01 日至 94 年 10 月 31 日

執行單位： 國立交通大學電子物理學系(所)

計畫主持人： 李仁吉

共同主持人： 詹傳宗

計畫參與人員： Yi Yang

報告類型： 精簡報告

報告附件： 出席國際會議研究心得報告及發表論文

處理方式： 本計畫可公開查詢

中 華 民 國 95 年 5 月 16 日

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Abstract

We calculate and identify the counterparts of zero-norm states in the old covariant …rst quantised (OCFQ) spectrum of open bosonic string in two other quantization schemes of string theory, namely the light-cone DDF zero-norm states and the o¤-shell BRST zero-norm states (with ghost) in the Witten string …eld theory (WSFT). In particular, special attention is paid to the inter-particle zero-norm states in all quantization schemes. For the case of the o¤-shell BRST zero-norm states, we impose the no ghost conditions and recover exactly two types of on-shell zero-norm states in the OCFQ string spectrum for the …rst few low-lying mass levels. We then show that o¤-shell gauge transformations of WSFT are identical to the on-shell stringy gauge symmetries generated by two types of zero-norm states in the generalized massive -model approach of string theory. The high energy limit of these stringy gauge symmetries was recently used to calculate the proportionality constants, conjectured by Gross, among high energy scattering amplitudes of di¤erent string states. Based on these zero-norm state calculations, we have thus related gauge symmetry of WSFT to the high-energy stringy symmetry of Gross.

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