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Notes on Enhancement of Flavor Symmetry and 5d Superconformal Index

2013/10/28 by Masato Taki, Taki, Masato · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.48550/arxiv.1310.7509

32 pages, 4 figures

arxiv created 2013/10/28 · openalex publication_date 2013/10/28 · arxiv updated 2013/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The UV fixed point theory of SU(2) gauge theory with Nf = 0,1,...,7 flavors is believed to have the enlarged ENf +1 flavor symmetry. Actually it is not easy to check this conjecture because the UV theory is strongly-coupled, however, computation of certain SUSY protected quantities provides strong evidence for the enhancement of flavor symmetry. We study the superconformal index for SU(2) gauge theory with Nf = 0, 1 flavors in details, and we give a support for the enhancement by studying combinatorial structure of the superconformal indexes of these theories. We also give a nontrivial evidence that the local F2 geometry leads to the E1 superconformal field theory.

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