The computation of observables in general interacting theories, be them quantum
mechanical, field, gauge or string theories, is a non-trivial problem which in many cases can …

In these lectures I present a review of non‐perturbative instanton effects in quantum
theories, with a focus on large N gauge theories and matrix models. I first consider the …

We present a uniform treatment of rigid supersymmetric field theories in a curved
spacetime\(\mathcal {M}\), focusing on four-dimensional theories with four supercharges …

Harnessing S-duality in $$ \mathcal{N} $$ = 4 SYM & supergravity as SL(2, ℤ)-averaged strings
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A bstract We present a quantum M2 brane computation of the instanton prefactor in the
leading non-perturbative contribution to the ABJM 3-sphere free energy at large N and fixed …

A bstract We study worldsheet instantons in holographic type IIA backgrounds directly in
string theory. The first background is a dimensional reduction of AdS 7× S 4 and is dual to …

The partition function on the 3-sphere of many supersymmetric Chern–Simons-matter
theories reduces, by localization, to a matrix model. We develop a new method to study …

We propose a general correspondence which associates a non-perturbative quantum-
mechanical operator to a toric Calabi–Yau manifold, and we conjecture an explicit formula …

The superconformal index Z of the 6d (2, 0) theory on S 5× S 1 (which is related to the
localization partition function of 5d SYM on S 5) should be captured at large N by the …

A bstract The partition function of ABJM theory on the three-sphere has nonperturbative
corrections due to membrane instantons in the M-theory dual. We show that the full series of …