General instanton counting and 5d SCFT
By Chiung Hwang, Joonho Kim, Seok Kim, Jaemo Park. 2014
197 citations recorded by the source corpus.
A bstractInstanton partition functions of 5d N=1$$ \mathcal{N}=1 $$ gauge theories are Witten indices for the ADHM gauged quantum mechanics with (0, 4) SUSY. We derive the integral contour prescriptions for these indices using the Jeffrey-Kirwan method, for gauge theories with hypermultiplets in various representations. The results can be used to study various 4d/5d/6d QFTs. In this paper, we study 5d SCFTs which are at the UV fixed points of 5d SYM theories. In particular, we focus on the Sp(N ) theories with Nf ≤ 7 fundamental and 1 antisymmetric hypermultiplets, living on the D4-D8-O8 systems. Their superconformal indices calculated from instantons all show ENf+1$$ {E_N}_{{}_f+1} $$ symmetry enhancements. We also discuss some aspects of the 6d SCFTs living on the M5-M9 system. It is crucial to understand the UV incompleteness of the 5d SYM, coming from small instantons in our problem. We explain in our examples how to fix them. As an aside, we derive the index for general gauged quantum mechanics with (0, 2) SUSY.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e93d6b81a2d4bcffffeb1732a0d43d61d88de442
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In Nuclear and High Energy Physics
- F. Benini
- Alberto Zaffaroni
- Hee-Cheol Kim
- Piljin Yi
- K. Hori
- Cyril Closset
- Mathew Bullimore
- P. Koroteev
Citations in the corpus
- A topologically twisted index for three-dimensional supersymmetric theories (2015, methodology): “As already mentioned, our formula for three-dimensional theories is formally similar to those obtained for the quantum mechanical Witten index in [6–8].”
- Witten index and wall crossing (2014, methodology): “After this work was completed, presented [46], and at the stage of being edited, two papers with partial overlaps [47, 48] appeared in the ArXiv.”
- Defects and quantum Seiberg-Witten geometry (2014, background): “he Jerey-Kirwan (JK) residue prescription introduced in [54,55]. The JK prescription has also been applied to the localization of the index in quantum mechanics, which we will brie y review now. See [49,56,57] for more detailed explanations. We can rst dene a hyperplane in the ˚plane for each charge”