论文标题
黑洞化学，宇宙常数和嵌入张量
Black hole chemistry, the cosmological constant and the embedding tensor
论文作者
论文摘要
我们研究包含尺寸常数的理论中的黑洞热力学，例如瓦尔德形式主义中的宇宙常数或耦合常数。处理这些常数的最自然方法是将它们推广到引入（D-1）形式的Lagrange乘数引入标量字段，迫使它们持续不断。这些（D-1） - 形式的电位提供了对它们的双重描述，并且在SuperString/Supergravity Theories的背景下，是更高维的起源/解释。在测量的超级理论的背景下，所有这些常数都可以在嵌入张量中收集。我们在一个明确的四维示例中表明，嵌入张量也可以理解为以双重性不变方式在Smarr公式中发生的热力学变量。这建立了在SuperString/Supergravity理论的背景下黑洞热力学，测量和压缩之间的有趣联系。
We study black-hole thermodynamics in theories that contain dimensionful constants such as the cosmological constant or coupling constants in Wald's formalism. The most natural way to deal with these constants is to promote them to scalar fields introducing a (d-1)-form Lagrange multiplier that forces them to be constant on-shell. These (d-1)-form potentials provide a dual description of them and, in the context of superstring/supergravity theories, a higher-dimensional origin/explanation. In the context of gauged supergravity theories, all these constants can be collected in the embedding tensor. We show in an explicit 4-dimensional example that the embedding tensor can also be understood as a thermodynamical variable that occurs in the Smarr formula in a duality-invariant fashion. This establishes an interesting link between black-hole thermodynamics, gaugings and compactifications in the context of superstring/supergravity theories.
