Critical potentials and correlation functions in the minus two dimensional matrix model

Igor R. Klebanov, Richard B. Wilkinson

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We review the construction and exact solution of the critical points of the matrix model with a pair of anti-commuting coordinates. The generic critical point describes c = -2 matter coupled to two-dimensional quantum gravity, while other critical points do not obey KPZ-DDK scaling, and have not yet been identified. We define scaling operators which perturb each of the critical points towards others, and find their correlation functions to all orders in the genus expansion. We also discuss other operators, which perturb the c = -2 matrix model towards K = 2, 3,... critical points of the one-matrix model. Some of their correlation functions diverge, and these divergent amplitudes are proportional to the correlation functions of the topological gravity.

Original languageEnglish (US)
Pages (from-to)475-495
Number of pages21
JournalNuclear Physics, Section B
Volume354
Issue number2-3
DOIs
StatePublished - May 6 1991

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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