Hydrodynamics of R-charged D1-branes

David, Justin R. ; Mahato, Manavendra ; Thakur, Somyadip ; Wadia, Spenta R. (2011) Hydrodynamics of R-charged D1-branes Journal of High Energy Physics, 2011 (1). ISSN 1029-8479

Full text not available from this repository.

Official URL: http://doi.org/10.1007/JHEP01(2011)014

Related URL: http://dx.doi.org/10.1007/JHEP01(2011)014


We study the hydrodynamic properties of strongly coupled SU(N) Yang-Mills theory of the D1-brane at finite temperature and at a non-zero density of R-charge in the framework of gauge/gravity duality. The gravity dual description involves a charged black hole solution of an Einstein-Maxwell-dilaton system in 3 dimensions which is obtained by a consistent truncation of the spinning D1-brane in 10 dimensions. We evaluate thermal and electrical conductivity as well as the bulk viscosity as a function of the chemical potential conjugate to the R-charges of the D1-brane. We show that the ratio of bulk viscosity to entropy density is independent of the chemical potential and is equal to 1/π4. The thermal conductivity and bulk viscosity obey a relationship similar to the Wiedemann-Franz law. We show that at the boundary of thermodynamic stability, the charge diffusion mode becomes unstable and the transport coefficients exhibit critical behaviour. Our method for evaluating the transport coefficients relies on expressing the second order differential equations in terms of a first order equation which dictates the radial evolution of the transport coefficient. The radial evolution equations can be solved exactly for the transport coefficients of our interest. We observe that transport coefficients of the D1-brane theory are related to that of the M2-brane by an overall proportionality constant which sets the dimensions.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Gauge-Gravity Correspondence; D-Branes; Holography and Condensed Matter Physics (AdS/CMT).
ID Code:117035
Deposited On:14 Apr 2021 08:36
Last Modified:14 Apr 2021 08:36

Repository Staff Only: item control page