Correlation functions on conical defects

Abstract

We explore the new technique developed recently in \cite{Rosenhaus:2014woa} and suggest a correspondence between the $N$-point correlation functions on spacetime with conical defects and the $(N+1)$-point correlation functions in regular Minkowski spacetime. This correspondence suggests a new systematic way to evaluate the correlation functions on spacetimes with conical defects. We check the correspondence for the expectation value of a scalar operator and of the energy momentum tensor in a conformal field theory and obtain the exact agreement with the earlier derivations for cosmic string spacetime. We then use this correspondence and do the computations for a generic scalar operator and a conserved vector current. For generic unitary field theory we compute the expectation value of the energy momentum tensor using the known spectral representation of the $2$-point correlators of stress-energy tensor in Minkowski spacetime.

20 pages; v3: new reference added

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• AdS/CFT prescription for angle-deficit space and winding geodesics
• On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
• The Edge of Entanglement: Getting the Boundary Right for Non-Minimally Coupled Scalar Fields
• Conformal a-charge, correlation functions and conical defects
• Parity-odd surface anomalies and correlation functions on conical defects