6th International Symposium on Quantum Theory and Symmetries | |
Hot Holographic Giant Loop | |
Grignani, G.^1 ; Karczmarek, J.L.^2 ; Semenoff, G.W.^2 | |
Department of Physics, University of Perugia, via A. Pascoli, Perugia, Italy^1 | |
Department of Physics, University of British Columbia, Vancouver, BC V6T 1Z1, Canada^2 | |
关键词: Anti-symmetric; Black hole background; Critical value; Expectation values; Finite temperatures; Quantum phase transitions; Yang-Mills theory; Young tableaux; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012045/pdf DOI : 10.1088/1742-6596/462/1/012045 |
|
来源: IOP | |
【 摘 要 】
We consider the Polyakov loop operator in finite temperature planar N = 4 supersymmetric Yang-Mills theory defined on a spatial S3and in representations where the number of boxes in the Young Tableau k is large and scales so that kN remains finite in the large N limit. We review the argument that, in the de-confined phase of the gauge theory, and for symmetric representations with row Young tableau, there is a quantum phase transition in the expectation value of the Polyakov loop operator which occurs as the size of the representation is increased beyond a critical value of kN. We also argue that for completely antisymmetric representations with column tableau, there is no such phase transition. The AdS/CFT dual of such large representation loops are thought to be probe D-branes with k units of fundamental string charge dissolved in their world-volumes. Our results for both symmetric and antisymmetric representations are consistent with what is known about these branes on the thermal AdS black hole background.
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
Hot Holographic Giant Loop | 622KB | download |