(Non)-integrability of geodesics in D-brane backgrounds

被引：47

作者：

Chervonyi, Yuri ^{[1
]}

Lunin, Oleg ^{[1
]}

机构：

[1] SUNY Albany, Dept Phys, Albany, NY 12222 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 02期

基金：

美国国家科学基金会;

关键词：

D-branes; Integrable Equations in Physics; Black Holes in String Theory; BLACK-HOLES; INTEGRABILITY; GEOMETRIES; STRINGS;

D O I：

10.1007/JHEP02(2014)061

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Motivated by the search for new backgrounds with integrable string theories, we classify the D-brane geometries leading to integrable geodesics. Our analysis demonstrates that the Hamilton-Jacobi equation for massless geodesics can only separate in elliptic or spherical coordinates, and all known integrable backgrounds are covered by this separation. In particular, we identify the standard parameterization of AdS(p) x S-q with elliptic coordinates on a flat base. We also find new geometries admitting separation of the Hamilton-Jacobi equation in the elliptic coordinates. Since separability of this equation is a necessary condition for integrability of strings, our analysis gives severe restrictions on the potential candidates for integrable string theories.

引用

页码：1 / 86

页数：86