On instantons as Kaluza-Klein modes of M5-branes
Oct, 2011
48 pages
Published in:
- JHEP 12 (2011) 031
e-Print:
- 1110.2175 [hep-th]
Report number:
- SNUTP11-007,
- KIAS-P11047,
- DAMTP-2011-57
View in:
Citations per year
Abstract: (arXiv)
Instantons 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.Note:
- 54 pages, 2 figures. v2: references added, figure improved, added comments on self-dual string anomaly, added new materials on the symmetric phase index, other minor corrections
- string: self-duality
- instanton: U(1)
- Yang-Mills: supersymmetry
- compactification: circle
- charge: electric
- gauge field theory: Yang-Mills
- gauge boson: Kaluza-Klein
- instanton: BPS
- M-brane: 5
- Coulomb
References(0)
Figures(3)
Loading ...