From \(6d\) flows to \(4d\) flows

DOI10.1007/JHEP12(2019)108zbMATH Open1431.81149arXiv1907.04870WikidataQ126554312 ScholiaQ126554312MaRDI QIDQ2303181

Author name not available (Why is that?)

Publication date: 2 March 2020

Published in: (Search for Journal in Brave)

Abstract: SCFTs in six dimensions are interrelated by networks of RG flows. Compactifying such models on a Riemann surface with flux for the $6d$ global symmetry, one can obtain a wide variety of theories in four dimensions. These four dimensional models are also related by a network of RG flows. In this paper we study some examples of four dimensional flows relating theories that can be obtained from six dimensions starting with different SCFTs connected by $6d$ RG flows. We compile a dictionary between different orders of such flows, $6do6do4d$ and $6do4do4d$, in the particular case when the six dimensional models are the ones residing on M5 branes probing different $A$-type singularities. The flows we study are triggered by vacuum expectation values (vevs) to certain operators charged under the six dimensional symmetry. We find that for generic choices of parameters the different orders of flows, $6do6do4d$ and $6do4do4d$, involve compactifications on different Riemann surfaces with the difference being in the number of punctures the surface has.

Full work available at URL: https://arxiv.org/abs/1907.04870

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

Related Items (2)

On renormalization group flows and the \(a\)-theorem in 6d ⋮ From 5d flat connections to 4d fluxes (the art of slicing the cone)

This page was built for publication: From \(6d\) flows to \(4d\) flows

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2303181)