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arXiv 1401.2020hep-thhep-ph
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一个扩展的标准模型及其由矩阵模型导出的Higgs几何

An extended standard model and its Higgs geometry from the matrix model

Harold C. Steinacker, Jochen Zahn

备注：
41 pages, 8 figures V2: rotating background replaced by static one, stabilized by a potential. References added. V3: minor corrections and improved discussion, published version
发表信息：
PTEP 2014 (2014) 8, 083B03
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摘要：

我们在IKKT矩阵模型中发现了一个简单的膜结构，它在低能量下类似于标准模型，具有第二个希格斯偶极子和右手中微子。电弱扇区在几何上可以用两个最小模糊椭球来实现，而这两个最小模糊椭球可以用额外维中的四个点膜来解释。电弱希格斯粒子连接着这些膜，是几何学中不可或缺的一部分。费米子的可能是零的模式出现在两个较大的膜的交叉点，精确地导致了正确的手征物质场在低能量下，随着右手中微子，可以获得马约拉纳质量由于希格斯单线态。较大的膜产生$SU(3)_c$，由$U(1)_B$和另一个$U(1)$扩展，后者在低能量下是反常的，预计会消失。在更高的能量下，镜像费米子和额外的场出现，完成了完整的${\cal N}=4$超对称性。膜配置是一个解决方案的模型，假设一个合适的有效势和非线性稳定的单重态希格斯粒子。在具有足够大的$N$的普通Minkowski空间上，基本结果可以推广到${\cal N}=4$ $SU(N)$ super-Yang-Mills.

英文摘要：

We find a simple brane configuration in the IKKT matrix model which resembles the standard model at low energies, with a second Higgs doublet and right-handed neutrinos. The electroweak sector is realized geometrically in terms of two minimal fuzzy ellipsoids, which can be interpreted in terms of four point-branes in the extra dimensions. The electroweak Higgs connects these branes and is an indispensable part of the geometry. Fermionic would-be zero modes arise at the intersections with two larger branes, leading precisely to the correct chiral matter fields at low energy, along with right-handed neutrinos which can acquire a Majorana mass due to a Higgs singlet. The larger branes give rise to $SU(3)_c$, extended by $U(1)_B$ and another $U(1)$ which are anomalous at low energies and expected to disappear. At higher energies, mirror fermions and additional fields arise, completing the full ${\cal N}=4$ supersymmetry. The brane configuration is a solution of the model, assuming a suitable effective potential and a non-linear stabilization of the singlet Higgs. The basic results can be carried over to ${\cal N}=4$ $SU(N)$ super-Yang-Mills on ordinary Minkowski space with sufficiently large $N$.

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