BRS current and related anomalies in two-dimensional gravity and string theories

Kazuo Fujikawa, Takeshi Inagaki, Hiroshi Suzuki

研究成果: Contribution to journalArticle査読

13 被引用数 (Scopus)

抄録

The BRS currents in two-dimensional gravity and supergravity theories, which are related to string theory, contain anomalous terms. The origin of these anomalies can be neatly understood in a carefully defined path integral. We present the detailed calculations of these BRS and related anomalies in the holomorphic or anti-holomorphic sector separately in the conformal gauge. One-loop renormalization of the Liouville action becomes transparent in our formalation. We identify a BRS invariant BRS current (and thus nil-potent charge) and a conformally invariant ghost number current by incorporating the dynamical Weyl freedom explicitly. The formal path integral construction of various composite operators is also checked by using the operator product technique. Implications of these BRS analyses on possible non-critical string theories at d < 26 or d < 10 are briefly discussed.

本文言語英語
ページ(範囲)499-529
ページ数31
ジャーナルNuclear Physics, Section B
332
2
DOI
出版ステータス出版済み - 3 5 1990
外部発表はい

All Science Journal Classification (ASJC) codes

  • 核物理学および高エネルギー物理学

フィンガープリント

「BRS current and related anomalies in two-dimensional gravity and string theories」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル