期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1088/1126-6708/2008/08/012
关键词
supersymmetric gauge theory; brane dynamics in gauge theories
资金
- STFC [PP/E006159/1, ST/G000743/1] Funding Source: UKRI
- Science and Technology Facilities Council [PP/E006159/1] Funding Source: researchfish
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. In consonance with the mathematical literature, the single brane moduli space is called the master space F-b. Illustrating with a host of explicit examples, we exhibit many algebro-geometric properties of the master space such as when F-b 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 N number of branes.
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