On instantons as Kaluza-Klein modes of M5-branes

By Hee-Cheol Kim, Seok Kim, Eunkyung Koh, Kimyeong Lee, Sungjay Lee. 2011

175 citations recorded by the source corpus.

A bstractInstantons and W-bosons in 5d maximally supersymmetric Yang-Mills theory arise from a circle compactification of the 6d (2,0) theory as Kaluza-Klein modes and winding self-dual strings, respectively. We study an index which counts BPS instantons with electric charges in Coulomb and symmetric phases. We first prove the existence of unique threshold bound state of (noncommutative) U(1) instantons for any instanton number, and also show that charged instantons in the Coulomb phase correctly give the degeneracy of SU(2) self-dual strings. By studying SU(N) self-dual strings in the Coulomb phase, we find novel momentum-carrying degrees on the worldsheet. The total number of these degrees equals the anomaly coefficient of SU(N) (2,0) theory. We finally show that our index can be used to study the symmetric phase of this theory, and provide an interpretation as the superconformal index of the sigma model on instanton moduli space.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/85685bf99ac9b5b0d48b3b7d104aa3ea1d1f118f

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Citations in the corpus

Instantons on the 5-sphere and M5-branes (2012, methodology): “See also [7] for the usage of this partition function in 5d maximal SYM on R4×S1 to study the 6d (2, 0) theory on R4×T (2).”
M5-branes from gauge theories on the 5-sphere (2012, background): “Similar successful matching of instanton partition function on R4×S1 and the DLCQ supergravity index on AdS7 × S4 was found in [11].”
General instanton counting and 5d SCFT (2014, methodology): “This is naively a free QFT in 5d, but [8, 9, 11, 22] could get the spectrum of circle compactified 6d (2, 0) theory physics of the free tensor multiplet from small instantons.”
Defects and quantum Seiberg-Witten geometry (2014, methodology): “For the N = 1∗ theory with U(N) gauge group, the Witten index of the N = (4, 4) ADHM gauged quantum mechanics gives the instanton partition function, which was computed in [53] using localization.”
5-dim superconformal index with enhanced En global symmetry (2012, methodology): “The instantons in 5d maximally supersymmetric theory play the role of Kaluza-Klein (KK) modes from a circle compactification of 6d (2, 0) theory and its mass is identified with KK momentum [11, 12, 13, 14, 15].”