What the study found
The authors find that the leading term in the operator algebra of light-transformed operators is fixed only when sub-leading terms are taken into account. They also derive a scaling dimension and an OPE coefficient for the leading term, and begin a similar study for shadow-transformed graviton correlators.
Why the authors say this matters
The study suggests this helps determine operator product expansions, or OPEs, in flat space holography. The findings indicate that the same scaling dimension agrees with one obtained from collinear limits of bulk momentum-space vertices, as the authors conclude.
What the researchers tested
The researchers started from light-transformed graviton correlators in flat space holography and examined the OPE obtained from the collinear limit, where operators become aligned in a specific direction. They then used a general conformal field theory-like ansatz, meaning a proposed form for the OPE, while tracking sub-leading terms, and also examined shadow-transformed graviton correlators.
What worked and what didn't
The collinear-limit OPE satisfied translation symmetry at leading order only with help from the sub-leading order. Using the ansatz and sub-leading term, the authors say they could fix both the scaling dimension and the OPE coefficient for the leading term. They also report that the scaling dimension matches the one obtained from bulk momentum-space vertices for gravity, Yang-Mills, and Einstein-Yang-Mills theory.
What to keep in mind
The abstract does not describe limitations or caveats beyond the specific focus on light-transformed and shadow-transformed graviton correlators in flat space holography. The summary also does not state how general the shadow-basis study is, only that it is initiated.
Key points
- The leading term in the light-transformed operator algebra is fixed only when sub-leading terms are included.
- The authors derive a scaling dimension and OPE coefficient for the leading term.
- The collinear-limit OPE satisfies translation symmetry at leading order only with help from sub-leading order.
- The scaling dimension matches one obtained from bulk momentum-space vertices for gravity, Yang-Mills, and Einstein-Yang-Mills theory.
- The paper also begins a similar study for shadow-transformed graviton correlators.
Disclosure
- Research title:
- Collinear-limit OPEs preserve translation symmetry with sub-leading terms
- Authors:
- Sourish Banerjee, Rudranil Basu
- Institutions:
- Birla Institute of Technology and Science, Pilani
- Publication date:
- 2026-04-22
- OpenAlex record:
- View
- Image credit:
- Photo by theglassdesk on Pixabay · Pixabay License
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