What the study found
The study finds that the leading term in the operator product expansion, or OPE, of light-transformed operators can be fixed by using information from the sub-leading term. It also begins a similar analysis for shadow-transformed graviton correlators.
Why the authors say this matters
The authors suggest this helps clarify the operator algebra of light-transformed operators in flat-space holography. They also indicate that the scaling dimension and OPE coefficient in the leading term can be determined in this framework.
What the researchers tested
The researchers started from light-transformed graviton correlators and examined the collinear limit, where momenta become aligned. They then used a general conformal field theory-like OPE ansatz, tracked the sub-leading term, and applied the method to gravity, Yang-Mills theory, and Einstein-Yang-Mills theory.
What worked and what didn't
They found that translation symmetry at leading order is not satisfied independently, but instead requires assistance from the sub-leading order. Using their formula, they obtained a scaling dimension for the operator in the leading term and fixed its OPE coefficient. The scaling dimension matched the value obtained from the collinear limit of bulk momentum-space vertices in the theories they studied.
What to keep in mind
The abstract does not describe detailed limitations or uncertainties beyond the scope of the theories examined. It also only states that a similar study is initiated for shadow-transformed graviton correlators, without giving full results for that part.
Key points
- The leading OPE term for light-transformed operators can be fixed using the sub-leading term.
- Translation symmetry at leading order is supported by the sub-leading order in the collinear limit.
- The authors derive a scaling dimension and fix an OPE coefficient for the leading term.
- Results are reported for gravity, Yang-Mills theory, and Einstein-Yang-Mills theory.
- The derived scaling dimension matches one from bulk momentum-space vertex collinear limits.
- A related study is initiated for shadow-transformed graviton correlators.
Disclosure
- Research title:
- Carroll-symmetric approach fixes leading light-transformed OPE terms
- Authors:
- Sourish Banerjee, Rudranil Basu
- Institutions:
- Birla Institute of Technology and Science, Pilani, Birla Institute of Technology and Science, Pilani
- Publication date:
- 2026-04-22
- OpenAlex record:
- View
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