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Universal and Transcendental Structures in Protected ABJM Two-Point Functions
Abstract
We consider two-loop corrections to two-point functions of protected scalar operators in ABJM theory. We infer a compact finite-rank formula valid for operators of arbitrary dimension and multi-trace structure. The result is governed by the exact tree-level metric and a simple kernel on the Young lattice, while the planar limit reduces to a simple partition-theoretic rule. The required integrals organize into uniformly transcendental combinations, providing evidence for uniform transcendentality of these protected two-point functions.
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BibTeX
@misc{bianchi2026universal,
title = {{Universal and Transcendental Structures in Protected ABJM Two-Point Functions}},
author = {Marco S. Bianchi},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.27701},
eprint = {2608.27701},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27701},
}
RIS
TY - UNPB
TI - Universal and Transcendental Structures in Protected ABJM Two-Point Functions
AU - Marco S. Bianchi
PY - 2026
DA - 2026/08/27
PB - arXiv
DO - 10.48550/arxiv.2608.27701
UR - https://arxiv.org/abs/2608.27701
AB - We consider two-loop corrections to two-point functions of protected scalar operators in ABJM theory. We infer a compact finite-rank formula valid for operators of arbitrary dimension and multi-trace structure. The result is governed by the exact tree-level metric and a simple kernel on the Young lattice, while the planar limit reduces to a simple partition-theoretic rule. The required integrals organize into uniformly transcendental combinations, providing evidence for uniform transcendentality of these protected two-point functions.
ER -