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Related Experiment Video

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Generalized recursion relations for correlators in the gauge-gravity correspondence.

¹Harish-Chandra Research Institute, Chatnag Marg, Jhunsi, Allahabad, India.

Physical Review Letters

|March 17, 2011

Summary

This summary is machine-generated.

A new recursion relation method efficiently computes correlation functions for stress tensors and conserved currents in conformal field theories. This approach applies to theories with anti-de Sitter space duals, enhancing calculations in theoretical physics.

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Area of Science:

Theoretical Physics
High Energy Physics
String Theory

Background:

Conformal field theories (CFTs) are crucial in understanding critical phenomena and quantum gravity.
Calculating correlation functions in CFTs is essential for probing their properties.
The anti-de Sitter/conformal field theory (AdS/CFT) correspondence provides a powerful duality for studying quantum field theories.

Purpose of the Study:

To introduce a novel and efficient method for computing correlation functions in CFTs.
To extend the applicability of recursion relations to specific CFT correlation functions.
To explore the computation of correlators involving stress tensors and conserved currents.

Main Methods:

Generalization of the Britto-Cachazo-Feng-Witten (BCFW) recursion relations.
Application of these generalized relations to CFTs with (d+1)-dimensional anti-de Sitter space duals (d≥4).
Approximation of the bulk theory by tree-level Yang-Mills theory or gravity.

Main Results:

A new, efficient computational method for correlation functions of stress tensors and conserved currents in CFTs.
Demonstration of the method's effectiveness in the context of AdS/CFT.
Successful computation of additional correlators in supersymmetric theories.

Conclusions:

The generalized BCFW recursion relations offer a significant advancement in computing CFT correlation functions.
This method provides an efficient tool for theoretical physics research, particularly within the AdS/CFT framework.
The technique is applicable to both Yang-Mills and gravitational theories in the specified limit.