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Five-point SYM correlator gets first stringy correction

Computer Science research
Photo by MG_Photos on Pixabay
Research area:Physics and AstronomyNuclear and High Energy PhysicsFactorization

What the study found

The study computed the first stringy correction to the supergravity regime of the five-point correlation function of 20′ operators in N=4 super Yang-Mills, a four-dimensional quantum field theory with supersymmetry. The authors also found a single remaining undetermined coefficient in their bootstrap ansatz.

Why the authors say this matters

The authors say their result is compatible with the expected flat-space limit behavior of the Mellin amplitude, and they identify non-protected conformal field theory data that is sensitive to the remaining ambiguity. They also report an additional calculation of the first stringy correction to certain four-point correlators involving three 20′ operators and either an R-symmetry current or the stress tensor.

What the researchers tested

The researchers used a bootstrap approach, combining factorization of Mellin amplitudes, supersymmetric constraints, and protected observables to refine an ansatz for the correlator. They applied this to the five-point function of five 20′ operators in N=4 super Yang-Mills.

What worked and what didn't

Their constraints reduced the ansatz to a form with only one undetermined coefficient. They verified that the result matches the anticipated flat-space limit behavior, and they identified non-protected CFT data that depends on the remaining ambiguity.

What to keep in mind

The abstract does not describe the value of the remaining coefficient or how it was fixed. It also does not provide further technical details or limitations beyond the scope of the five-point correlator and the additional four-point correlator calculations.

Key points

  • The study computed the first stringy correction to a five-point correlator of 20′ operators in N=4 super Yang-Mills.
  • A bootstrap method, together with Mellin amplitude factorization, supersymmetric constraints, and protected observables, reduced the result to one undetermined coefficient.
  • The authors say the result is compatible with the expected flat-space limit behavior of the Mellin amplitude.
  • They identified non-protected conformal field theory data that is sensitive to the remaining ambiguity.
  • As a byproduct, they also computed first stringy corrections for certain four-point correlators involving an R-symmetry current or the stress tensor.

Disclosure

Research title:
Five-point SYM correlator gets first stringy correction
Image credit:
Photo by MG_Photos on Pixabay
AI provenance: AI provenance information is not available for this post.