Introduction to gauge/gravity duality

0Citations
Citations of this article
43Readers
Mendeley users who have this article in their library.

Abstract

We review how the AdS/CFT correspondence is motivated within string theory, and discuss how it is generalized to gauge/gravity duality. In particular, we highlight the relation to quantum information theory by pointing out that the Fisher information metric of a Gaussian probability distribution corresponds to an Anti-de Sitter space. As an application example of gauge/gravity duality, we present a holographic Kondo model. The Kondo model in condensed matter physics describes a spin impurity interacting with a free electron gas: At low energies, the impurity is screened and there is a logarithmic rise of the resistivity. In quantum field theory, this amounts to a negative beta function for the impurity coupling and the theory flows to a non-trivial IR fixed point. For constructing a gravity dual, we consider a large N version of this model in which the ambient electrons are strongly coupled even before the interaction with the impurity is switched on. We present the brane construction which motivates a gravity dual Kondo model and use this model to calculate the impurity entanglement entropy and the resistivity, which has a power-law behaviour. We also study quantum quenches, and discuss the relation to the Sachdev-Ye-Kitaev model.

Cite

CITATION STYLE

APA

Erdmenger, J. (2017). Introduction to gauge/gravity duality. In Proceedings of Science (Vol. 305). Sissa Medialab Srl. https://doi.org/10.22323/1.305.0001

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free