Abstract
These lectures are a brief survey of the basic principles of conformal invariance with examples and applications to statistical mechanical models, mainly in two-dimensions, and real surface systems. Given the amount of time available, we cannot even hope to be complete—note that the introductory lectures by Ginsparg [1] took up more than 13 hours! We will attempt only to outline the basic theory and present some consequences and examples of interest to the author. Hopefully this will suffice to convey a feeling for the subject, some appreciation of its implications, and more importantly stimulate the reader to further study. To this end, more exhaustive treatments may be found in various review articles [1–6]. A few comments on the approach and level of these papers are given below.
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References
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© 1990 Plenum Press, New York
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Kleban, P. (1990). Conformal Invariance — a Survey of Principles with Applications to Statistical Mechanics and Surface Physics. In: Baeriswyl, D., Bishop, A.R., Carmelo, J. (eds) Applications of Statistical and Field Theory Methods to Condensed Matter. NATO ASI Series, vol 218. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5763-6_9
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