Abstract
Abstract
We study chiral rings of 4d $$ \mathcal{N} $$
N
= 1 supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futaki invariants, it is not enough to only include the test symmetry information in the former’s denominator. We discuss a way to modify the numerator so that K-stability can be correctly determined, and a rescaling method is also applied to simplify the calculations involving test configurations. All of these are illustrated with a host of examples, by considering vacuum moduli spaces of various theories. Using Gröbner basis and plethystic techniques, many non-complete intersections can also be addressed, thus expanding the list of known theories in the literature.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference61 articles.
1. T.C. Collins, D. Xie and S.-T. Yau, K stability and stability of chiral ring, arXiv:1606.09260 [INSPIRE].
2. T.C. Collins and G. Szekelyhidi, K-Semistability for irregular Sasakian manifolds, J. Diff. Geom. 109 (2018) 81 [arXiv:1204.2230] [INSPIRE].
3. T.C. Collins and G. Székelyhidi, Sasaki-Einstein metrics and K-stability, Geom. Topol. 23 (2019) 1339 [arXiv:1512.07213] [INSPIRE].
4. A. Futaki, An obstruction to the existence of einstein Kähler metrics, Invent. Math. 73 (1983) 437.
5. W. Ding and G. Tian, Kähler-einstein metrics and the generalized futaki invariant, Invent. Math. 110 (1992) 315.
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