Journal
UNIVERSE
Volume 7, Issue 7, Pages -Publisher
MDPI
DOI: 10.3390/universe7070247
Keywords
conformal field theory; conformal bootstrap; dispersion relation; supersymmetry
Funding
- Knut and Alice Wallenberg Foundation [KAW 2016.0129]
- VR grant [2018-04438]
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In this paper, recent advancements in the study of conformal field theories in generic space-time dimensions using the methods of the conformal bootstrap, particularly focusing on its analytic aspect, are reviewed. Two applications of the analytic conformal bootstrap are examined: the epsilon expansion of the Wilson-Fisher model through the introduction of a dispersion relation, and the large N expansion of the maximally supersymmetric Super Yang-Mills theory in four dimensions.
We reviewed the recent developments in the study of conformal field theories in generic space time dimensions using the methods of the conformal bootstrap, in its analytic aspect. These techniques are solely based on symmetries, particularly on the analytic structure and in the associativity of the operator product expansion. We focused on two applications of the analytic conformal bootstrap: the study of the epsilon expansion of the Wilson-Fisher model via the introduction of a dispersion relation and the large N expansion of the maximally supersymmetric Super Yang-Mills theory in four dimensions.
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