We describe the modern formalism, ideas and applications of the instanton calculus for
gauge theories with, and without, supersymmetry. Particular emphasis is put on developing …

A bstract Based on the construction by Hosomichi, Seong and Terashima we consider N= 1
supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory …

We evaluate the one loop determinant of matter multiplet fields of\(\mathcal {N}= 4\)
supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate …

A bstract We consider the AdS 2/CFT 1 holographic correspondence near the horizon of big
four-dimensional black holes preserving four supersymmetries in toroidally compactified …

We use localization to evaluate the functional integral of string field theory on AdS 2× S 2
background corresponding to the near horizon geometry of supersymmetric black holes in …

This is a primer on a mathematically rigorous renormalisation group theory, presenting
mathematical techniques fundamental to renormalisation group analysis such as Gaussian …

We generalize the framework introduced by Kapustin et al. for doing path integral
localization in Chern-Simons theory to work on any Seifert manifold. This is done by …

We study a lattice field model which qualitatively reflects the phenomenon of Anderson
localization and delocalization for real symmetric band matrices. In this statistical mechanics …

Kamenev and Mezard, and Yurkevich and Lerner, have recently shown how to reproduce
the large-frequency asymptotics of the energy level correlations for disordered electron …

A bstract We find the most general bosonic solution to the localization equations describing
the contributions to the quantum entropy of supersymmetric black holes in four …