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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Mellin Amplitudes for Supergravity on AdS_{5}×S^{5}.
Leonardo Rastelli1, Xinan Zhou1
1C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794, USA.
Physical Review Letters
|March 18, 2017
Summary
Researchers simplified holographic correlation functions in type-IIB supergravity using Mellin space. A new formula was conjectured for specific operators, relying on consistency conditions rather than detailed supergravity knowledge.
Area of Science:
- * Theoretical Physics
- * String Theory
- * Quantum Field Theory
Background:
- * Holographic correlation functions are crucial for understanding quantum field theories.
- * Type-IIB supergravity on AdS5×S5 provides a framework for studying these functions.
- * Previous calculations were complex and lacked compact analytical expressions.
Purpose of the Study:
- * To simplify the calculation of holographic four-point correlation functions.
- * To develop a general formula for specific single-trace operators.
- * To explore methods relying on consistency conditions over detailed supergravity actions.
Main Methods:
- * Recalculating holographic correlation functions in Mellin space.
- * Utilizing general consistency conditions.
- * Avoiding explicit reliance on the supergravity effective action.
Main Results:
- * Drastic simplification of four-point correlation functions in Mellin space.
- * Conjecture of a compact formula for specific single-trace operators.
- * Demonstration that detailed supergravity knowledge is not always necessary.
Conclusions:
- * Mellin space offers a powerful simplification for holographic correlation functions.
- * The conjectured formula provides a significant advancement for arbitrary operator weights.
- * Consistency conditions are a viable alternative to detailed action knowledge in these calculations.
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