Hot Holographic Giant Loop

6th International Symposium on Quantum Theory and Symmetries

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.