Equivariant localization and holography
From MaRDI portal
Publication:6189664
DOI10.1007/S11005-023-01752-1arXiv2306.03891OpenAlexW4390660626MaRDI QIDQ6189664
Author name not available (Why is that?)
Publication date: 8 February 2024
Published in: (Search for Journal in Brave)
Abstract: We discuss the theory of equivariant localization focussing on applications relevant for holography. We consider geometries comprising compact and non-compact toric orbifolds, as well as more general non-compact toric Calabi-Yau singularities. A key object in our constructions is the equivariant volume, for which we describe two methods of evaluation: the Berline-Vergne fixed-point formula and the Molien- Weyl formula, supplemented by the Jeffrey-Kirwan prescription. We present two applications in supersymmetric field theories. Firstly, we describe a method for integrating the anomaly polynomial of SCFTs on compact toric orbifolds. Secondly, we discuss equivariant orbifold indices that are expected to play a key role in the computation of supersymmetric partition functions. In the context of supergravity, we propose that the equivariant volume can be used to characterise universally the geometry of a large class of supersymmetric solutions. As an illustration, we employ equivariant localization to prove various gravitational block formulas, recovering previous results as well as obtaining generalizations.
Full work available at URL: https://arxiv.org/abs/2306.03891
No records found.
No records found.
This page was built for publication: Equivariant localization and holography
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6189664)
