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Published on: January 9, 2014
Unitary 4-point correlators from classical geometries
Alessandro Bombini1,2, Andrea Galliani1,2, Stefano Giusto1,2
11Dipartimento di Fisica ed Astronomia "Galileo Galilei", Università di Padova, Via Marzolo 8, 35131 Padua, Italy.
This study computes correlators in the D1D5 CFT, finding they depend on moduli and do not decay, consistent with unitary theories. These findings advance understanding of strongly coupled quantum field theories and their gravitational duals.
Area of Science:
- String theory and quantum field theory.
- AdS/CFT correspondence and holographic duality.
Background:
- The D1D5 CFT is a strongly coupled quantum field theory with a large central charge (c).
- This theory is dual to weakly coupled string theory in specific anti-de Sitter (AdS) spacetime.
Purpose of the Study:
- To compute correlators of heavy and light operators in the D1D5 CFT.
- To explore the dependence of these correlators on CFT moduli and compare with theoretical expectations for unitary theories.
Main Methods:
- Calculation of correlators in the strong coupling and large c limit.
- Analysis of operators including light scalar descendants and heavy Ramond-Ramond ground states.
- Derivation of general expressions for correlators near maximally spinning ground states.
Main Results:
- Correlators depend non-trivially on CFT moduli, not solely determined by symmetries.
- Derived general expressions for correlators involving specific heavy states.
- Found correlators exhibit properties of pure states in unitary theories, including non-decay at large Lorentzian times.
Conclusions:
- The computed correlators provide insights into the dynamics of strongly coupled CFTs and their holographic duals.
- The results support the consistency of the AdS/CFT correspondence and the properties of unitary quantum field theories.
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