Covariant Noether charges for type IIB and 11-dimensional supergravities
Covariant Noether charges for type IIB and 11-dimensional supergravities
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IIB 型和 11 维超引力的协变诺特电荷
DOI：
10.1088/1361-6382/abc136
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发表时间：
2019
影响因子：
3.5
通讯作者：
Jorge E Santos
中科院分区：
文献类型：
--
作者：
'Oscar J. C. Dias;Gavin Hartnett;Jorge E Santos
瓦尔德及其合作者的协变诺特电荷形式（也称为协变相位方法），包括其上同调扩展，是一种明显的协变哈密顿形式，原则上允许定义和计算引力理论一般解的能量，角动量和化学势。然而，已经观察到，对于某些超重力解，Noether荷的变化是不可积的（至少是明显不可积的），因此不清楚这些解是否存在定义明确的热力学荷。在这项工作中，我们推导出的任何IIB型10维或11维超引力解的协变Noether收费的变化的表达式。虽然这个诺特量是不可积的一般情况下，我们表明，渐近尺度不变的解决方案，它是。特别地，渐近标度不变性允许定义能量密度和共轭化学势，它们服从热力学第一定律和Smarr关系。这两个热力学关系可以表明，意味着诺特电荷的变化是可积的，因此，能量和其他热力学电荷可以明确定义。我们通过计算最近构造的两个非平凡超引力解的热力学荷来明确地证明和说明我们的主张：（1）Polchinski-Strassler黑膜，它是N=1* 理论的去限制相的对偶;（2）CGLP黑膜，它渐近于质量变形的Cvetien-Gibbons-Lü-Pope（CGLP）解。
The covariant Noether charge formalism (also known as the covariant phase method) of Wald and collaborators, including its cohomological extension, is a manifestly covariant Hamiltonian formalism that, in principle, allows one to define and compute the energy, angular momenta, and chemical potentials of generic solutions of gravitational theories. However, it has been observed that for some supergravity solutions the variation of the Noether charge is not (at least manifestably) integrable, and as a result it is unclear whether there are well-defined thermodynamic charges for these solutions. In this work, we derive an expression for the variation of the covariant Noether charges for any solution of type IIB 10-dimensional supergravity or 11-dimensional supergravity. Although this Noether quantity is not integrable in general, we show that for asymptotically scale-invariant solutions, it is. In particular, the asymptotic scale-invariance allows one to define an energy density and conjugate chemical potentials which obey a first law of thermodynamics and a Smarr relation. These two thermodynamic relations can then be shown to imply that the variation of the Noether charge is integrable, and accordingly the energy and other thermodynamic charges may be defined unambiguously. We explicitly demonstrate and illustrate our claim by computing the thermodynamic charges of two non-trivial supergravity solutions that were recently constructed: (1) the Polchinski–Strassler black brane that is dual to the deconfined phase of N=1* theory, and (2) the CGLP black brane that asymptotes to the mass deformed Cvetič–Gibbons–Lü–Pope (CGLP) solution.
热 Polchinski-Strassler 夸克胶子等离子体的全息对偶
影响因子：
5.4
作者：
Bena I
通讯作者：
Bena I
影响因子：
5.4
作者：
F. F. Gautason;D. Junghans;M. Zagermann
通讯作者：
M. Zagermann