descriptionPublicationkeyboard_double_arrow_right Article , Preprint 07 Apr 2014Embargo end date: 01 Jan 2013 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 112 (issn: 0031-9007, eissn: 1079-7114,

Authors: El-Showk S.; Paulos M.; Poland D.; Rychkov S.; Simmons-Duffin D.; Vichi A.;

doi: 10.1103/physrevlett.112.141601 , 10.48550/arxiv.1309.5089

pmid: 24765941

arXiv: http://arxiv.org/abs/1309.5089

handle: 11568/1126064

Conformal Field Theories in Fractional Dimensions

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Abstract

We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of unitary CFTs connecting the 2D Ising model, the 3D Ising model, and the free scalar theory in 4D. We give numerical predictions for the leading operator dimensions and central charge in this family at different values of D and compare these to calculations of phi^4 theory in the epsilon-expansion.

11 pages, 4 figures - references updated - one affiliation modified

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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, 530, Condensed Matter - Statistical Mechanics, 510

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