AdS_{3}×S^{3} Virasoro-Shapiro Amplitude with Ramond-Ramond Flux

Area of Science:

• String Theory
• Quantum Field Theory
• AdS/CFT Correspondence

Background:

• Type IIB string theory on AdS3 x S3 x M4 with Ramond-Ramond flux.
• D1D5 brane system as a dual conformal field theory (CFT).

Purpose of the Study:

• Compute the anti-de Sitter Virasoro-Shapiro amplitude for dilaton scattering.
• Explore all orders in alpha' in a small anti-de Sitter curvature expansion.
• Provide predictions for CFT data at strong coupling.

Main Methods:

• Comparing the flat space limit of the dual CFT correlator to an ansatz for the amplitude.
• Utilizing world-sheet integrals in terms of single-valued multiple polylogarithms.
• Analyzing the first curvature correction and its consistency checks.

Main Results:

• The first curvature correction to the amplitude is fully determined.
• The result satisfies high energy limit consistency checks.
• Infinite predictions for planar CFT data at strong coupling are generated.

Conclusions:

• The computed amplitude offers insights into string theory in curved backgrounds.
• The findings guide future integrability studies in CFT.
• This work bridges string theory calculations with CFT predictions.