5-dim superconformal index with enhanced En global symmetry View Full Text


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Article Info

DATE

2012-10-22

AUTHORS

Hee-Cheol Kim, Sung-Soo Kim, Kimyeong Lee

ABSTRACT

The five-dimensional \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 $\end{document} supersymmetric gauge theory with Sp(N) gauge group and SO(2Nf) flavor symmetry describes the physics on N D4-branes with Nf D8-branes on top of a single O8 orientifold plane in Type I′ theory. This theory is known to be superconformal at the strong coupling limit with the enhanced global symmetry \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ {E_{{N_f +1}}} $\end{document} for Nf ≤ 7. In this work we calculate the superconformal index on S1 × S4 for the Sp(1) gauge theory by the localization method and confirm such enhancement of the global symmetry at the superconformal limit for Nf ≤ 5 to a few leading orders in the chemical potential. Both perturbative and (anti)instanton contributions are present in this calculation. For Nf = 6, 7 cases some issues related the pole structure of the instanton calculation could not be resolved and here we could provide only some suggestive answer for the leading contributions to the index. For the Sp(N) case, similar issues related to the pole structure appear. More... »

PAGES

142

References to SciGraph publications

  • 2004-02-25. Five-dimensional Chern-Simons terms and Nekrasov's instanton counting in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-02-07. (2, 0) supersymmetry and the light-cone description of M5-branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05-28. Twisted supersymmetric 5D Yang-Mills theory and contact geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05-29. Exact results for ’t Hooft loops in Gauge theories on S4 in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-07-02. Instantons, fermions and Chern-Simons terms in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-08-19. Dyonic instantons in 5-dim Yang-Mills Chern-Simons theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05-22. Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2000-01. D-Particle Bound States and Generalized Instantons in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2009-03-17. Superconformal indices for orbifold Chern-Simons theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-10-21. Superconformal N = 2, D = 5 matter with and without actions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05-03. SUSY gauge theories on squashed three-spheres in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-03-07. On the instantons and the hypermultiplet mass of super Yang-Mills on S4 in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-09-28. Relation between the 4d superconformal index and the S3 partition function in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-12-07. On instantons as Kaluza-Klein modes of M5-branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-03-09. Five-branes, seven-branes and five-dimensional En field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-02-03. On D = 5 super Yang-Mills theory and (2, 0) theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-08-30. The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-09-17. ABCD of Instantons in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-01-19. M5-Branes, D4-Branes and quantum 5D super-Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-09-12. Seiberg-Witten theories on ellipsoids in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-02-18. Indices for superconformal field theories in 3, 5 and 6 dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-05-21. Multi-instanton calculus and equivariant cohomology in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-05-11. A note on instanton counting for 𝒩 = 2 gauge theories with classical gauge groups in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-10-19. Instantons on quivers and orientifolds in JOURNAL OF HIGH ENERGY PHYSICS
  • 1974. Elliptic Operators and Compact Groups in NONE
  • 2001-06-21. Weyl multiplets of N = 2 conformal supergravity in five dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-07-27. 5d quivers and their AdS6 duals in JOURNAL OF HIGH ENERGY PHYSICS
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    33 schema:description The five-dimensional \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 $\end{document} supersymmetric gauge theory with Sp(N) gauge group and SO(2Nf) flavor symmetry describes the physics on N D4-branes with Nf D8-branes on top of a single O8 orientifold plane in Type I′ theory. This theory is known to be superconformal at the strong coupling limit with the enhanced global symmetry \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ {E_{{N_f +1}}} $\end{document} for Nf ≤ 7. In this work we calculate the superconformal index on S1 × S4 for the Sp(1) gauge theory by the localization method and confirm such enhancement of the global symmetry at the superconformal limit for Nf ≤ 5 to a few leading orders in the chemical potential. Both perturbative and (anti)instanton contributions are present in this calculation. For Nf = 6, 7 cases some issues related the pole structure of the instanton calculation could not be resolved and here we could provide only some suggestive answer for the leading contributions to the index. For the Sp(N) case, similar issues related to the pole structure appear.
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    42 En global symmetry
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    56 enhancement
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