2014/08/31 by Siavash Golkar, Dam T. Son · 33 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Conservation law #Dimension (graph theory) #Operator (biology) #Operator product expansion #Product (mathematics) #cond-mat.other #hep-th #nucl-th
paper · pdf · doi:10.1007/jhep12(2014)063
published in Journal of High Energy Physics 2014(12) (Springer Nature) · 11 pages, 1 figure. V2 added references
arxiv created 2014/09/08 · openalex publication_date 2014/12/01 · arxiv updated 2015/04/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We explore the consequences of conformal symmetry for the operator product expansions in nonrelativistic field theories. Similar to the relativistic case, the OPE coefficients of descendants are related to that of the primary. However, unlike relativistic CFTs the 3-point function of primaries is not completely specified by conformal symmetry. Here, we show that the 3-point function between operators with nonzero particle number, where (at least) one operator has the lowest dimension allowed by unitarity, is determined up to a numerical coefficient. We also look at the structure of the family tree of primaries with zero particle number and discuss the presence of conservation laws in this sector.