5-dim superconformal index with enhanced En global symmetry

By Hee-Cheol Kim, Sung-Soo Kim, Kimyeong Lee. 2012

231 citations recorded by the source corpus.

A bstractThe five-dimensional $ \mathcal{N}=1 $ 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 $ {E_{{N_f +1}}} $ 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3b29ce31cb9a2b179212bcce159bd365e6835d8a

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In Nuclear and High Energy Physics

Citations in the corpus

Exact results for five-dimensional superconformal field theories with gravity duals (2012, methodology): “(3)The En global symmetry enhancement was confirmed in [29] by calculating the superconformal index of these theories on S(4) × S(1) using localization.”
General instanton counting and 5d SCFT (2014, background): “As their main interest was the 5d QFT and not these 8d particles, [10] then omitted the antisymmetric hypermultiplet and proceeded with the instanton calculus having Nf fundamental hypermultiplets only.”
Instantons on the 5-sphere and M5-branes (2012, methodology): “This has been emphasized, for instance, in [20] which discusses the squashed S(4) partition function as a reduction of an index on S(4) × S(1).”
Non-Lagrangian theories from brane junctions (2013, methodology): “1) This provides a way to test our results against the 5D superconformal index computed via localization on S4 × S1 by Kim, Kim and Lee in [54].”
M5-branes from gauge theories on the 5-sphere (2012, methodology): “For instance, the analysis for 5d SCFT with F (4) symmetry would have yielded {Q,Q} ∼ P , {S, S} ∼ K as in [25], but they naturally do not appear in our case.”