Localization for \cal N=2 Supersymmetric Gauge Theories in Four Dimensions

2014/12/22 by Pestun, Vasily
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1412.7134

Abstract

This is the 5th article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J. Teschner. We review the supersymmetric localization of N=2 theories on curved backgrounds in four dimensions using N=2 supergravity and generalised conformal Killing spinors. We review some known backgrounds and give examples of new geometries such as local T²-bundle fibrations. We discuss in detail a topological four-sphere with generic T²-invariant metric.

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