1 / 4 BPS string junctions and N 3 problem in 6-dimensional (2,0) superconformal theories

Self Cite

120

231

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.

Section: Su (N ) Self-dual Stringsmentioning

confidence: 75%

Section: Su (N ) Self-dual Stringsmentioning

confidence: 96%

On instantons as Kaluza-Klein modes of M5-branes

Kim

Koh

et al. 2011

Self Cite

120

231

“…for the G = SU(2) theory, Ω = 1 2 , so (3.1) gives X 4 = ∆c/6(c 2 (F SU(2) L ) − c 2 (F SU(2) R )), which satisfies (1.9) because here ∆c = 6. More generally, as noted in [42] (or [43], for 2d Toda), the Freudenthal and de Vries strange formula implies that, for G = A, D, E, (where…”

Section: Jhep10(2014)162mentioning

confidence: 89%

6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching

Intriligator

2014

6d QFTs are constrained by the analog of 't Hooft anomaly matching: all anomalies for global symmetries and metric backgrounds are constants of RG flows, and for all vacua in moduli spaces. We discuss an anomaly matching mechanism for 6d N = (1, 0) theories on their Coulomb branch. It is a global symmetry analog of Green-Schwarz-WestSagnotti anomaly cancellation, and requires the apparent anomaly mismatch to be a perfect square, ∆I 8 = 1 2 X 2 4 . Then ∆I 8 is cancelled by making X 4 an electric/magnetic source for the tensor multiplet, so background gauge field instantons yield charged strings. This requires the coefficients in X 4 to be integrally quantized. We illustrate this for N = (2, 0) theories. We also consider the N = (1, 0) SCFTs from N small E 8 instantons, verifying that the recent result for its anomaly polynomial fits with the anomaly matching mechanism.

“…However we note that, by construction, U is indistinguishable from −U and therefore the actual moduli space is obtained by identifying U ∼ = −U and hence is the quotient R 4 /Z 2 ×R 4 . Next we evaluate 17) and hence 18) or equivalently L α = w a δ α a . If we consider gauge transformations of the form U(x − ) then L α will transform as a gauge field.…”

Section: One Instanton Examplementioning

confidence: 99%

“…More recently it has been suggested that maximally supersymmetric five-dimensional Yang-Mills theory can be used to define the (2, 0) theory in the case of a space-like compactification, including all the Kaluza-Klein modes [11,12]. Other, even more recent, discussions on formulating the dynamics of the (2, 0) theory are [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

(2, 0) supersymmetry and the light-cone description of M5-branes

Lambert

Richmond

2012

In arXiv:1007.2982 a novel system of equations which propagate in one null and four space directions were obtained as the on-shell conditions for the six-dimensional (2, 0) superalgebra. In this paper we show how this system reduces to one-dimensional motion on instanton moduli space. Quantization leads to the previous light-cone proposal of the (2, 0) theory, generalized to include a potential that arises on the Coulomb branch as well as couplings to background gauge and self-dual two-form fields.