Lifting 4d dualities to 5d View Full Text


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Article Info

DATE

2015-04-24

AUTHORS

Oren Bergman, Gabi Zafrir

ABSTRACT

In this paper we set out to further explore the connection between isolated N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=2 $$\end{document} SCFT’s in four dimensions and N=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=1 $$\end{document} SCFT’s in five dimensions. Using 5-brane webs we are able to provide IR Lagrangian descriptions in terms of 5d gauge theories for several classes of theories including the so-called TN theories. In many of these we find multiple dual gauge theory descriptions. The connection to 4d theories is then used to lift 4d N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=2 $$\end{document} S-dualities that involve weakly-gauging isolated theories to 5d gauge theory dualities. The 5d description allows one to study the spectrum of BPS operators directly, using for example the superconformal index. This provides additional non-trivial checks of enhanced global symmetries and 4d dualities. More... »

PAGES

141

References to SciGraph publications

  • 2007-06-06. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2004-09-17. ABCD of Instantons in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007-12-28. S-duality in N = 2 supersymmetric gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10-22. 5-dim superconformal index with enhanced En global symmetry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-03-25. 5-brane webs, symmetry enhancement, and duality in 5d supersymmetric gauge theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-06-03. Topological strings and 5d TN partition functions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-01-30. Non-Lagrangian theories from brane junctions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-08-06. N = 2 dualities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-04-20. M5-branes, toric diagrams and gauge theory duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-12-16. Duality and enhancement of symmetry in 5d gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-01-06. Webs of (p,q) 5-branes, five dimensional field theories and grid diagrams in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-11-22. Tinkertoys for Gaiotto duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-09-09. Webs of five-branes and 𝒩 = 2 superconformal field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10-30. The gravity duals of superconformal field theories in JOURNAL OF HIGH ENERGY PHYSICS
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