标题： 弦理论中的包裹规则（in） 显示英文标题

标题： Wrapping rules (in) string theory

摘要： 本文中我们展示出，在环面上紧致化的弦理论中，所有1/2-BPS膜的数量可以通过普适的缠绕规则来得到，我们给出了这些规则的表述。 这些规则甚至适用于少于十维的膜，其十维起源是非平凡膜。 在这种情况下，缠绕规则中包含一个额外的组合因子，该因子与紧致化后十维非平凡膜能够以标准膜形式存在的最高维度相关。 我们还证明了这些缠绕规则同样适用于较少超对称性的案例。 作为一个具体例子，我们讨论了IIA/IIB弦理论在$(T^4/{\mathbb{Z}_2}) \times T^n$上的紧致化。 显示英文摘要

摘要： In this paper we show that the number of all 1/2-BPS branes in string theory compactified on a torus can be derived by universal wrapping rules whose formulation we present. These rules even apply to branes in less than ten dimensions whose ten-dimensional origin is an exotic brane. In that case the wrapping rules contain an additional combinatorial factor that is related to the highest dimension in which the ten-dimensional exotic brane, after compactification, can be realized as a standard brane. We show that the wrapping rules also apply to cases with less supersymmetry. As a specific example, we discuss the compactification of IIA/IIB string theory on $(T^4/{\mathbb{Z}_2}) \times T^n$.