Shear sum rules at finite chemical potential

David, Justin R. ; Jain, Sachin ; Thakur, Somyadip (2012) Shear sum rules at finite chemical potential Journal of High Energy Physics, 2012 (3). ISSN 1029-8479

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We derive sum rules which constrain the spectral density corresponding to the retarded propagator of the T xy component of the stress tensor for three gravitational duals. The shear sum rule is obtained for the gravitational dual of the N=4 Yang-Mills, theory of the M2-branes and M5-branes all at finite chemical potential. We show that at finite chemical potential there are additional terms in the sum rule which involve the chemical potential. These modifications are shown to be due to the presence of scalars in the operator product expansion of the stress tensor which have non-trivial vacuum expectation values at finite chemical potential.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Gauge-gravity Correspondence; Black Holes in String Theory; Ads-cft Correspondence.
ID Code:117031
Deposited On:14 Apr 2021 08:35
Last Modified:14 Apr 2021 08:35

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