Bootstrapping ABJM theory
Bercel Boldis, Gregory P. Korchemsky, Alessandro Testa

TL;DR
This paper develops a bootstrap framework to systematically compute instanton corrections in ABJM theory, providing analytic derivations of relations for free energy and Wilson loops, and revealing new structural features of nonperturbative effects.
Contribution
It introduces a novel bootstrap approach for calculating instanton corrections in ABJM theory, extending previous conjectures with analytic derivations and structural insights.
Findings
Derived relations for free energy previously known only conjecturally
Determined nonperturbative corrections to BPS Wilson loops
Uncovered new structural features of instanton effects in ABJM
Abstract
Supersymmetric localization reduces the computation of protected observables in ABJM theory to finite-dimensional matrix integrals. Building on the techniques introduced in arXiv:2512.02119, we develop a bootstrap framework for the systematic calculation of instanton corrections to the free energy and to supersymmetric Wilson loops. Exploiting exact functional relations and consistency conditions satisfied by grand-canonical observables, in the Fermi-gas formulation of the ABJM matrix model, we provide analytic derivations of several relations for the free energy that were previously known only conjecturally, either from refined topological string theory or from high-precision numerical studies. We apply the same framework to determine the nonperturbative corrections to and BPS Wilson loops, elucidating their qualitative differences and uncovering novel structural features…
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