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Rank $Q$ E-String on Spheres with Flux
- Source :
- SciPost Physics, Vol 11, Iss 2, p 044 (2021)
- Publication Year :
- 2021
-
Abstract
- We consider compactifications of rank $Q$ E-string theory on a genus zero surface with no punctures but with flux for various subgroups of the $\text{E}_8\times \text{SU}(2)$ global symmetry group of the six dimensional theory. We first construct a simple Wess-Zumino model in four dimensions corresponding to the compactification on a sphere with one puncture and a particular value of flux, the cap model. Using this theory and theories corresponding to two punctured spheres with flux, one can obtain a large number of models corresponding to spheres with a variety of fluxes. These models exhibit interesting IR enhancements of global symmetry as well as duality properties. As an example we will show that constructing sphere models associated to specific fluxes related by an action of the Weyl group of $\text{E}_8$ leads to the S-confinement duality of the $\text{USp}(2Q)$ gauge theory with six fundamentals and a traceless antisymmetric field. Finally, we show that the theories we discuss possess an $\text{SU}(2)_{\text{ISO}}$ symmetry in four dimensions that can be naturally identified with the isometry of the two-sphere. We give evidence in favor of this identification by computing the `t Hooft anomalies of the $\text{SU}(2)_{\text{ISO}}$ in 4d and comparing them with the predicted anomalies from 6d.<br />57 pages, 6 figures; v2: a few minor changes, published in SciPost Phys
- Subjects :
- Physics
High Energy Physics - Theory
Weyl group
Compactification (physics)
010308 nuclear & particles physics
Group (mathematics)
QC1-999
General Physics and Astronomy
Duality (optimization)
FOS: Physical sciences
Global symmetry
01 natural sciences
String (physics)
Symmetry (physics)
symbols.namesake
High Energy Physics - Theory (hep-th)
0103 physical sciences
symbols
Gauge theory
010306 general physics
Mathematical physics
Supersymmetric gauge theories and dualities
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- SciPost Physics, Vol 11, Iss 2, p 044 (2021)
- Accession number :
- edsair.doi.dedup.....81a17155caed561488e22a3435154572