arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0810.2171hep-th
收藏

M2-brane对N=6超Chern-Simons理论k层的透视

M2-brane Perspective on N=6 Super Chern-Simons Theory at Level k

Changrim Ahn, P. Bozhilov

摘要:

最近,O.阿哈罗尼岛Bergman,D. L. Jafferis和J. Maldacena(ABJM)提出了三维超Chern-Simons-物质理论,在k水平上描述了N个M2-膜的低能极限。对于大的N和k,但固定的t Hooft耦合λ=N/k,它是AdS_4 × CP ^3上IIA型弦论的对偶。对于大N但有限k,它与AdS_4 × S^7/Z_k上的M理论是对偶的.本文利用第二对偶性,通过将系统简化为Neumann-Rosochatius可积模型,找到了AdS_4 x S^7/Z_k上膜结构的精确巨磁振子解和单尖峰解。我们导出了色散关系和它们的有限尺寸修正,并明确地依赖于能级k。

英文摘要:

Recently, O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena (ABJM) proposed three-dimensional super Chern-Simons-matter theory, which at level k is supposed to describe the low energy limit of N M2-branes. For large N and k, but fixed 't Hooft coupling λ=N/k, it is dual to type IIA string theory on AdS_4 x CP^3. For large N but finite k, it is dual to M theory on AdS_4 x S^7/Z_k. In this paper, relying on the second duality, we find exact giant magnon and single spike solutions of membrane configurations on AdS_4 x S^7/Z_k by reducing the system to the Neumann-Rosochatius integrable model. We derive the dispersion relations and their finite-size corrections with explicit dependence on the level k.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑