Universal and Transcendental Structures in Protected ABJM Two-Point Functions

Marco S. Bianchi

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arXiv · 2608.27701

Universal and Transcendental Structures in Protected ABJM Two-Point Functions

Marco S. Bianchi

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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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Marco S. Bianchi. 2026-08-27. Universal and Transcendental Structures in Protected ABJM Two-Point Functions. https://arxiv.org/abs/2608.27701

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