Exact C-function and C-theorem on affine-Virasoro space

A. Giveon*, M. B. Halpern, E. B. Kiritsis, N. A. Obers

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


An exact C-function which is an action for the Virasoro master equation, is obtained on affine-Virasoro space. The solutions of the master equation are fixed points of an associated flow, which obeys a C-theorem. The closed sub-flow SO(n)diag a flow on the space of graphs and the associated Morse polynomials are known generating functions in graph theory. The general flow also implies a method for prediction of sporadic conformal deformations. We note the resemblance of this system to the expected form of an exact renormalization group equation.

Original languageAmerican English
Pages (from-to)655-690
Number of pages36
JournalNuclear Physics B
Issue number2-3
StatePublished - 1 Jul 1991
Externally publishedYes

Bibliographical note

Funding Information:
This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY85-15857. The work of A.G. is supported in part by a Chaim Weizmann fellowship.


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