Localization techniques in quantum field theories
Vasily Pestun, Maxim Zabzine, Francesco Benini, Tudor Dimofte, Thomas T. Dumitrescu, Kazuo Hosomichi, Seok Kim, Kimyeong Lee, Bruno Le Floch, Marcos Marino, Joseph A. Minahan, David R. Morrison, Sara Pasquetti, Jian Qiu, Leonardo Rastelli, Shlomo S. Razamat, Silvu S. Pufu, Yuji Tachikawa, Brian Willett, Konstantin Zarembo
TL;DR
Localization techniques in quantum field theories serves as a foreword to a special volume surveying recent developments in equivariant localization in supersymmetric QFT. The volume aggregates 17 chapters that span localization calculations across dimensions 2–5 and their major applications to string/M-theory and holography. It emphasizes both the computational methods—Coulomb/Higgs branch localization, index theorems, and matrix-model representations—and the rich web of applications, including 2D gauged linear sigma models, Gromov–Witten invariants, AGT, and AdS/CFT. The foreword also notes the non-linear structure and cross-dependencies among chapters and acknowledges ongoing rapid progress in the field.
Abstract
This is the foreword to the special volume on localization techniques in quantum field theory. We summarize the individual chapters and their relation.