Classifying supersymmetric solutions in 3D maximal supergravity

被引:10
作者
de Boer, Jan [1 ]
Mayerson, Daniel R. [1 ]
Shigemori, Masaki [2 ,3 ]
机构
[1] Univ Amsterdam, Inst Theoret Phys, NL-1090 GL Amsterdam, Netherlands
[2] Kyoto Univ, Yukawa Inst Theoret Phys, Sakyo Ku, Kyoto 6068502, Japan
[3] Kyoto Univ, Hakubi Ctr, Sakyo Ku, Kyoto 6068501, Japan
基金
日本学术振兴会;
关键词
exotic branes; 3D; U-folds; non-geometric branes; classification; supersymmetric solutions; supergravity; U-DUALITY; MINIMAL SUPERGRAVITY; BRANES; STRINGS;
D O I
10.1088/0264-9381/31/23/235004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
String theory contains various extended objects. Among those, objects of codimension two (such as the D7-brane) are particularly interesting. Codimension-two objects carry non-Abelian charges which are elements of a discrete U-duality group and they may not admit a simple spacetime description, in which case they are known as exotic branes. A complete classification of consistent codimension-two objects in string theory is missing, even if we demand that they preserve some supersymmetry. As a step toward such a classification, we study the supersymmetric solutions of 3D maximal supergravity, which can be regarded as an approximate description of the geometry near codimension-two objects. We present a complete classification of the types of supersymmetric solutions that exist in this theory. We found that this problem reduces to that of classifying nilpotent orbits associated with the U-duality group, for which various mathematical results are known. We show that the only allowed supersymmetric configurations are 1/2, 1/4, 1/8, and 1/16 BPS, and determine the nilpotent orbits that they correspond to. One example of 1/16 BPS configurations is a generalization of the MSW system, where momentum runs along the intersection of seven M5-branes. On the other hand, it turns out exceedingly difficult to translate this classification into a simple criterion for supersymmetry in terms of the non-Abelian (monodromy) charges of the objects. For example, it can happen that a supersymmetric solution exists locally but cannot be extended all the way to the location of the object. To illustrate the various issues that arise in constructing supersymmetric solutions, we present a number of explicit examples.
引用
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页数:48
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