All Tree-Level Correlators for M Theory on AdS_{7}×S^{4}

Area of Science:

• High energy physics
• String theory
• Quantum field theory

Background:

• Eleven-dimensional supergravity on AdS7×S4 is a key model for studying quantum gravity.
• The six-dimensional (2,0) theory, at large central charge, is dual to this supergravity background.
• Understanding holographic correlators is crucial for probing this duality.

Purpose of the Study:

• To derive all four-point tree-level holographic correlators for eleven-dimensional supergravity on AdS7×S4.
• To analyze four-point functions of one-half BPS operators in the dual six-dimensional (2,0) theory.
• To establish a constructive method for calculating these correlators.

Main Methods:

• Utilizing Mellin space techniques to analyze the structure of correlators.
• Identifying a maximally R-symmetry violating amplitude that captures the polar part.
• Applying superconformal Ward identities and flat space limits to determine the contact terms.

Main Results:

• A complete constructive derivation of all four-point tree-level holographic correlators.
• Demonstration that the polar part is determined by a simpler amplitude.
• Confirmation that the contact part is fixed by symmetry and limits.

Conclusions:

• The study provides a powerful new method for calculating holographic correlators.
• The findings offer insights into the structure of the six-dimensional (2,0) theory and its gravitational dual.
• This work paves the way for studying more complex correlators in holographic settings.