Sharp Bounds on the Ground State Energy of the SYK Model
For the Sachdev-Ye-Kitaev Hamiltonian on Majorana modes with -body interactions, the paper proves for super-constant , confirming predictions of Garcia-Garcia, Jia and Verbaarschot and answering a question of Feng, Tian and Wei.
- Result
- Proved
- Status
- Resolved
- AI contribution
- AI co-developed
- Method
- Argument
- Field
- Mathematical Physics, Random Matrices
- Posed by
- Feng, Tian and Wei; predicted by Garcia-Garcia, Jia and Verbaarschot
- Year posed
- 2019
- Years open
- 7y
- Solved
- 2026-07-29
- Model
- GPT-5.5 Pro / GPT-5.6 Pro
- Vendor
- OpenAI
- Collaborators
- Arpon Basu, Pravesh K. Kothari, Siddhant Midha
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 20 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What the AI did
The authors analysed a preliminary version of their explicit deterministic operator with GPT-5.5 Pro and GPT-5.6 Pro, and credit GPT-5.6 Pro with suggesting Lemma 4.6, Proposition 4.14 and Lemma 4.15. They also used it to search related literature and to assist with verifying technical proofs.
Verification
No independent check. The disclosure is unusually specific, naming the three results the model contributed, which is what makes the co-developed tier defensible here. Preprint, not refereed.