Summing over all genera for d > 1: a toy model

Jan Ambjørn*, Bergfinnur Durhuus, Thórdur Jónsson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

96 Citations (Scopus)


We consider a reduced model of discretized random surfaces which is believed to be a good approximation to the standard theory of discretized random surfaces for large dimensions d. In this model we observe multicritical behaviour. The relation between internal observables, in the sense of two-dimensional gravity, and external observables, in the sense of string theory, can be studied in detail. Furthermore, it is possible to perform explicitly the summation over all genera in this model.

Original languageEnglish
Pages (from-to)403-412
Number of pages10
JournalPhysics Letters B
Issue number3-4
Publication statusPublished - 26 Jul 1990


Dive into the research topics of 'Summing over all genera for d > 1: a toy model'. Together they form a unique fingerprint.

Cite this