Triadophilia: A Special Corner in the Landscape
Triadophilia: A Special Corner in the Landscape
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Triadophilia：景观中的一个特殊角落
DOI：
10.4310/atmp.2008.v12.n2.a6
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Balázs Szendrői
中科院分区：
文献类型：
--
作者：
P. Candelas;Xenia de la Ossa;Yang;Balázs Szendrői
众所周知，弦理论中存在着大量表面上相容的真空。我们要注意这样一个事实，似乎很少有Hodge数h^{11}和h^{21}都很小的卡拉比-丘流形。其中，（h^{11}，h^{21}）=（3，3）的情形对应于一个流形，在该流形上最近建立了一个三代杂种优势模型。我们还指出，有一个非常密切的关系，这个流形和几个熟悉的流形，包括'三代'流形与\chi=-6，发现田和丘，并由Schimmrigk，在早期的调查。这是一个有趣的可能性，我们可能生活在一个自然界定的角落景观。这三代模型相对于景观的一个角落的位置是如此引人注目，我们被引导考虑杂种优势真空之间的过渡的可能性。这些转变的可能性，我们在这里称之为越轨，是一个古老的想法，可以追溯到维滕。在这里，我们应用这个想法来连接不同的卡-丘流形上的三代真空。
It is well known that there are a great many apparently consistent vacua of string theory. We draw attention to the fact that there appear to be very few Calabi--Yau manifolds with the Hodge numbers h^{11} and h^{21} both small. Of these, the case (h^{11}, h^{21})=(3,3) corresponds to a manifold on which a three generation heterotic model has recently been constructed. We point out also that there is a very close relation between this manifold and several familiar manifolds including the `three-generation' manifolds with \chi=-6 that were found by Tian and Yau, and by Schimmrigk, during early investigations. It is an intriguing possibility that we may live in a naturally defined corner of the landscape. The location of these three generation models with respect to a corner of the landscape is so striking that we are led to consider the possibility of transitions between heterotic vacua. The possibility of these transitions, that we here refer to as transgressions, is an old idea that goes back to Witten. Here we apply this idea to connect three generation vacua on different Calabi-Yau manifolds.