Metastable Vacua in Perturbed Seiberg-Witten Theories

Metastable Vacua in Perturbed Seiberg-Witten Theories
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扰动塞伯格-维滕理论中的亚稳态真空

DOI:
10.4310/atmp.2008.v12.n2.a5
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发表时间:
2007
影响因子:
1.5
通讯作者:
C. Park
C. Park
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
H. Ooguri;Yutaka Ookouchi;C. Park

文献摘要

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我们表明,对于任何N = 2的超对称规范理论的库仑分支上的一个点的一般选择,有可能找到一个超势微扰,在该点产生亚稳真空。对于SU(N)规范群的理论,这样的超势可以表示为N = 2和3的单迹项之和。如果亚稳点选在模空间的原点,我们可以证明超势对任何N都可以是单迹算子。在这两种情况下,超势都是向量多重态标量场的3N次多项式。
We show that, for a generic choice of a point on the Coulomb branch of any N = 2 supersymmetric gauge theory, it is possible to find a superpotential perturbation which generates a metastable vacuum at the point. For theories with SU(N) gauge group, such a superpotential can be expressed as a sum of single-trace terms for N = 2 and 3. If the metastable point is chosen at the origin of the moduli space, we can show that the superpotential can be a single-trace operator for any N. In both cases, the superpotential is a polynomial of degree 3N of the vector multiplet scalar field.