Taub-NUT Spacetime in the (A)dS/CFT and M-Theory

Physics & Astronomy;AdS/CFT;dS/CFT;M-Theory;M-Branes;Quantum Gravity;Black Hole Thermodynamics

Clarkson, Richard

University of Waterloo

关键词: Physics & Astronomy;    AdS/CFT;    dS/CFT;    M-Theory;    M-Branes;    Quantum Gravity;    Black Hole Thermodynamics;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/1264/1/r2clarks2005.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

In the following thesis, I will conduct a thermodynamic analysis of the Taub-NUT spacetime in various dimensions, as well as show uses for Taub-NUT and other Hyper-Kahler spacetimes.

Thermodynamic analysis (by which I mean the calculation of the entropy and other thermodynamic quantities, and the analysis of these quantities) has in the past been done by use of background subtraction.The recent derivation of the (A)dS/CFT correspondences from String theory has allowed for easier and quicker analysis. I will use Taub-NUT space as a template to test thesecorrespondences against the standard thermodynamic calculations (via the Nöether method), with (in the Taub-NUT-dS case especially) some very interesting results.

There is also interest in obtaining metrics in eleven dimensions that can be reduced down to ten dimensional string theory metrics. Taub-NUT and other Hyper-Kahler metrics already possess the form to easily facilitate the Kaluza-Klein reduction, and embedding such metrics into eleven dimensionalmetrics containing M2 or M5 branes produces metrics with interesting Dp-brane results.