Non-connected gauge groups and the plethystic program

作者：Bourget Antoine^*; Pini Alessandro

来源：The Journal of High Energy Physics, 2017, 2017(10): 033.

DOI：10.1007/JHEP10(2017)033

• Non Supersymmetric Gauge Theory
• Solitons Monopoles and Instantons
• Supersymmetry and Duality
• Differential and Algebraic Geometry

We present in the context of supersymmetric gauge theories an extension of the Weyl integration formula, first discovered by Robert Wendt [1], which applies to a class of non-connected Lie groups. This allows to count in a systematic way gauge-invariant chiral operators for these non-connected gauge groups. Applying this technique to O(n), we obtain, via the ADHM construction, the Hilbert series for certain instanton moduli spaces. We validate our general method and check our results via a Coulomb branch computation, using three-dimensional mirror symmetry.

• 出版日期2017-10-4