The conformal bootstrap is a non-perturbative mathematical method to constrain and solve conformal field theories, i.e. models of particle physics or statistical physics that exhibit similar properties at different levels of resolution.
[6] Other early pioneers of this idea were Gerhard Mack [de] and Ivan Todorov [bg].
In higher dimensions, the conformal bootstrap started to develop following the 2008 paper by Riccardo Rattazzi, Slava Rychkov, Erik Tonni and Alessandro Vichi.
[8] The method was since used to obtain many general results about conformal and superconformal field theories in three, four, five and six dimensions.
This older method is perturbative in nature,[13][14] and is not directly related to the conformal bootstrap in the modern sense of the term.