On the crossing relation in the presence of defects

2009/12/31 by V. B. Petkova · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Correlation function (quantum field theory) #Duality (order theory) #Function (biology) #M-theory #Operator product expansion #Relation (database) #Spectral Theory in Mathematical Physics #Transformation (genetics) #Wilson loop #hep-th

paper · pdf · doi:10.1007/jhep04(2010)061

published as JHEP 1004:061,2010 · TEX file with harvmac; v3: JHEP version

openalex publication_date 2010/04/01 · arxiv created 2010/04/29 · arxiv updated 2010/05/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The OPE of local operators in the presence of defect lines is considered both in the rational CFT and the c>25 Virasoro (Liouville) theory. The duality transformation of the 4-point function with inserted defect operators is explicitly computed. The two channels of the correlator reproduce the expectation values of the Wilson and 't Hooft operators, recently discussed in Liouville theory in relation to the AGT conjecture.

Citations

• Boundary structure constants for the A-series Virasoro minimal models
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Classical and quantum conformal field theory
• Duality and defects in rational conformal field theory

Cited by

• Analysis of correlation functions in Toda theory and the Alday-Gaiotto-Tachikawa-Wyllard relation forSU(3)quiver