THE MASTER SPACE OF N=1 GAUGE THEORIES

By D. Forcella, A. Hanany, Yang-Hui He, Alberto Zaffaroni. 2008

152 citations recorded by the source corpus.

The full moduli space M of a class of N=1 supersymmetric gauge theories is studied. For gauge theories living on a stack of D3-branes at Calabi-Yau singularities X, M is a combination of the mesonic and baryonic branches, the former being the symmetric product of X. In consonance with the mathematical literature, the single brane moduli space is called the master space F. Illustrating with a host of explicit examples, we exhibit many algebro-geometric properties of the master space such as when F is toric Calabi-Yau, behaviour of its Hilbert series, its irreducible components and its symmetries. In conjunction with the plethystic programme, we investigate the counting of BPS gauge invariants, baryonic and mesonic, using the geometry of F and show how its refined Hilbert series not only engenders the generating functions for the counting but also beautifully encode "hidden" global symmetries of the gauge theory which manifest themselves as symmetries of the complete moduli space M for arbitrary number of branes.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e062f9daec352878baad40e41a97dcb0823d8f20

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

SQCD: A Geometric Apercu (2008, methodology): “[29, 23 ]). Although it is not clear for general SQCD what the volume means, we can nevertheless perform such an expansion.”
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals (2008, background): “(Note that the 3 + 1-dimensional Klebanov-Witten theory [17] also has an SU(4) global symmetry in the SU(2) × SU(2) case [29]).”
Supersymmetry on curved spaces and holography (2012, background): “The solution to the F -terms is a (g+2) dimensional toric variety sometimes called ‘master space’ F [159], here g denotes the number of gauge groups.”