# Amihay Hanany

Faculty of Natural SciencesDepartment of Physics

Professor of Theoretical Physics

//

### Contact

+44 (0)20 7594 3634a.hanany

//

### Location

611Huxley BuildingSouth Kensington Campus

//

# Citation

## BibTex format

@unpublished{Bourget:2019,author = {Bourget, A and Cabrera, S and Grimminger, JF and Hanany, A and Zhong, Z},publisher = {arXiv},title = {Brane webs and magnetic quivers for SQCD},url = {http://arxiv.org/abs/1909.00667v1},year = {2019}}

## RIS format (EndNote, RefMan)

TY  - UNPBAB  - It is widely considered that the classical Higgs branch of 4d $\mathcal{N}=2$SQCD is a well understood object. However there is no satisfactoryunderstanding of its structure. There are two complications: (1) the Higgsbranch chiral ring contains nilpotent elements, as can easily be checked in thecase of $\mathrm{SU}(N)$ with 1 flavour. (2) the Higgs branch as a geometricspace can in general be decomposed into two cones with nontrivial intersection,the baryonic and mesonic branches. To study the second point in detail we usethe recently developed tool of magnetic quivers for five-brane webs, using thefact that the classical Higgs branch for theories with 8 supercharges does notchange through dimensional reduction. We compare this approach with thecomputation of the hyper-K\"ahler quotient using Hilbert series techniques,finding perfect agreement if nilpotent operators are eliminated by thecomputation of a so called radical. We study the nature of the nilpotentoperators and give conjectures for the Hilbert series of the full Higgs branch,giving new insights into the vacuum structure of 4d $\mathcal{N}=2$ SQCD. Inaddition we demonstrate the power of the magnetic quiver technique, as itallows us to identify the decomposition into cones, and provides us with theglobal symmetries of the theory, as a simple alternative to the techniques thatwere used to date.AU  - Bourget,AAU  - Cabrera,SAU  - Grimminger,JFAU  - Hanany,AAU  - Zhong,ZPB  - arXivPY  - 2019///TI  - Brane webs and magnetic quivers for SQCDUR  - http://arxiv.org/abs/1909.00667v1UR  - http://hdl.handle.net/10044/1/73308ER  -