Higher-point conformal blocks in the comb channel
Jean-François Fortin, Wen-Jie Ma, Witold Skiba
Abstract
A bstract We compute M -point conformal blocks with scalar external and exchange operators in the so-called comb configuration for any M in any dimension d . Our computation involves repeated use of the operator product expansion to increase the number of external fields. We check our results in several limits and compare with the expressions available in the literature when M = 5 for any d , and also when M is arbitrary while d = 1.
Topics & Concepts
PhysicsConformal mapOperator product expansionScalar (mathematics)ComputationDimension (graph theory)Operator (biology)Topology (electrical circuits)Product (mathematics)Conformal field theoryChannel (broadcasting)Mathematical physicsQuantum electrodynamicsScaling dimensionTheoretical physicsPrimary fieldConformal symmetryMathematical analysisScalar fieldQuantum mechanicsHolomorphic and Operator TheoryAlgebraic structures and combinatorial modelsMatrix Theory and Algorithms