Conformal four point functions and the operator product expansion
F.A. Dolan,Hugh Osborn +1 more
944
TL;DR: In this paper, a recurrence relation for the function corresponding to the contribution of an arbitrary spin field in the operator product expansion to the four point function for scalar fields in conformally invariant theories is derived.
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About: This article is published in Nuclear Physics. The article was published on 02 Apr 2001. and is currently open access. The article focuses on the topics: Operator product expansion & Conformal field theory.
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Citations
Global Conformal Invariance and Bilocal Fields with Rational Correlation Functions
Nikolay M. Nikolov,Yassen S. Stanev,Ivan T. Todorov +2 more
TL;DR: This paper explores global conformal invariance and bilocal fields with rational correlation functions, expanding the operator product expansion of scalar fields into bilocal conformal fields with rational correlation functions and symmetric tensor fields.
Conformal two-point correlation functions from the operator product expansion
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Superconformal partial waves for stress-tensor multiplet correlator in 4D $$ \mathcal{N} $$ = 2 SCFTs
Zhijin Li,Zhijin Li +1 more
TL;DR: In this paper, the superconformal field theories (SCFTs) with extended supersymmetry were derived for the four-point correlator and supershadow approach.
Analytic functional bootstrap for CFTs in d > 1
TL;DR: In this paper, the authors introduce analytic functionals which act on the crossing equation for CFTs in arbitrary spacetime dimension, and show how these functionals lead to optimal bounds on the OPE density of d = 2 CFT and argue that they provide an equivalent rewriting of the D = 2 crossing equation which is better suited for numeric computations.
Moduli spaces in CFT: large charge operators
Gabriel Cuomo,Leonardo Rastelli,Adar Sharon +2 more
TL;DR: Researchers prove a necessary condition for CFTs to exhibit conformal symmetry breaking, requiring a tower of charged local operators with scaling dimensions asymptotically linear in charge, illustrated in examples of 3D supersymmetric CFTs.
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