Authors
Augustus Brown, Daniele Dorigoni, Congkao Wen
Published in
Physical review letters. Volume 137. Issue 10. Pages 101601. Sep 04, 2026.
Abstract
We study the giant graviton integrated correlator in SU(N) N=4 super-Yang-Mills at finite complexified coupling τ. Despite the formidable complexity arising from the heavy nature of the operators considered, the large-N expansion simplifies dramatically and exhibits manifest modular invariance. At each order in 1/N, the expansion coefficients are linear combinations of nonholomorphic Eisenstein series, thus capturing the full spectrum of perturbative and nonperturbative effects in the Yang-Mills coupling. Furthermore, we find additional contributions, which are modular functions exponentially suppressed in N. In the 't Hooft limit, this yields an all-orders result in the 1/N expansion at arbitrary coupling λ, extending beyond prior results of leading orders. For the U(N) theory, we obtain a closed-form expression valid for all N and τ and show that the coupling-dependent sector of the large-N expansion is universal between SU(N) and U(N) to all orders. Crucially, we exploit the integrated correlator constraints and determine the giant graviton correlator itself to two-loop order at finite N, previously only accessible in the planar limit.
PMID:
42758981
Bibliographic data and abstract were imported from PubMed on 19 Sep 2026.
Read full publication at:
Please sign in
to see all details.
Advertisement
Stats
- Recommendations n/a n/a positive of 0 vote(s)
- Views 5
- Comments 0