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Supergravity solutions and superalgebras with sixteen killing spinors.

机译：超重力解和具有16个杀转子的超代数。

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摘要

We show that for in order for a type IIB supergravity half-BPS solution to be asymptotic to AdS5 x S5, it must have an invariance superalgebra which is a subalgebra of PSU(2, 2|4) and has 16 Killing spinors. Similarly, for an M-theory half-BPS solution to be asymptotic to AdS7 x S4 or AdS4 x S7, it must have an invariance superalgebra which is a subalgebra of OSp(8*|4) or OSp(8|4, R) respectively and has 16 Killing spinors. We find all relevant subalgebras of PSU(2, 2|4), OSp(8*|4), and OSp(8|4, R) and based on these are able to support the existence of certain solutions suspected based on probe analysis, as well conjecture the existence of unexpected solutions. We obtain one example, the solution invariant under OSp(4*|2) x OSp(4*|2) and asymptotic to AdS 7 x S4 and OSp(4|2, R) x OSp(4|2, R) and asymptotic to AdS4 x S7. Both solutions have the same spacetime isometry SO(2, 2) x SO(4) x SO(4), implying the metric form AdS3 x S 3 x S3 warped over a two-dimensional Riemann surface with boundary, Sigma. The BPS equations are reduced on this Ansatz, mapped to an integrable system of the sine-Gordon/Liouville type, and finally into a linear equation. The general local solutions are constructed explicitly in terms of one harmonic function on Sigma, and an integral transform of two further harmonic functions on Sigma. The solutions to the BPS equations are shown to automatically solve the Bianchi identities and field equations for the 4-form field, as well as Einstein's equations. The solutions have non-vanishing 4-form field strength on each of the three factors of AdS3 x S3 x S 3. The solutions asymptotic to AdS7 x S4 correspond to backreacted M2-branes and intersecting M5 branes, in the near horizon background of M5 branes. We impose regularity conditions on these local solutions and explicitly construct globally well-defined solutions. The solutions are interpreted as gravity duals to 1+1 dimensional defects in the 6-dimensional maximally symmetric CFT.
机译：我们显示，为了使IIB型超重半BPS解决方案渐近于AdS5 x S5，它必须具有不变超代数，它是PSU（2，2 | 4）的子代数，并具有16个Killing旋子。同样，要使M理论半BPS解渐近于AdS7 x S4或AdS4 x S7，它必须具有不变性超代数，它是OSp（8 * | 4）或OSp（8 | 4，R）的子代数分别具有16个Killing spinors。我们找到PSU（2，2 | 4），OSp（8 * | 4）和OSp（8 | 4，R）的所有相关子代数，并基于这些子代数能够支持基于探针分析怀疑的某些解决方案的存在。 ，还推测出意外解决方案的存在。我们得到一个例子，解在OSp（4 * | 2）x OSp（4 * | 2）下不变，并且渐近到AdS 7 x S4和OSp（4 | 2，R）x OSp（4 | 2，R）和渐近于AdS4 x S7。两种解决方案都具有相同的时空等距线SO（2，2）x SO（4）x SO（4），这意味着度量形式AdS3 x S 3 x S3在具有边界Sigma的二维Riemann表面上发生了扭曲。 BPS方程在此Ansatz上进行简化，映射到正弦Gordon / Liouville类型的可积系统，最后映射为线性方程。根据Sigma上的一个谐波函数和Sigma上的另外两个谐波函数的积分变换，明确构造了一般的局部解。显示了BPS方程的解，可以自动求解4形场的Bianchi身份和场方程，以及爱因斯坦方程。该解决方案在AdS3 x S3 x S 3的三个因素中的每一个上均具有不消失的4型场强度。渐近于AdS7 x S4的解决方案在M5的近距背景下对应于反向反应的M2-骨架和相交的M5骨架。麸皮。我们对这些局部解施加规则性条件，并显式构造全局定义良好的解。解决方案被解释为6维最大对称CFT中1 + 1维缺陷的重力对偶。

著录项

  • 作者

    Krym, Darya Romanovna.;

  • 作者单位

    University of California, Los Angeles.;

  • 授予单位 University of California, Los Angeles.;
  • 学科 Physics Theory.
  • 学位 Ph.D.
  • 年度 2009
  • 页码 271 p.
  • 总页数 271
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

  • 入库时间 2022-08-17 11:38:30

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