Topological conformal algebra and BRST algebra in non-critical string theories

Kazuo Fujikawa, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

The operator algebra in non-critical string theories is studied by treating the cosmological term as a perturbation. The algebra of covariantly regularized BRST and related currents contains a twisted N = 2 superconformal algebra only at d = -2 in bosonic strings, and a twisted N = 3 superconformal algebra only at d = ±∞ in spinning strings. The bosonic string at d = -2 is examined by replacing the string coordinate by a fermionic matter with c = -2. The resulting bc-βγ system accommodates various forms of BRST cohomology, and the ghost number assignment and BRST cohomology are different in the c = -2 string theory and two-dimensional topological gravity.

Original languageEnglish
Pages (from-to)539-554
Number of pages16
JournalNuclear Physics, Section B
Volume361
Issue number2
DOIs
Publication statusPublished - Sep 2 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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