Sum rules and three point functions

David, Justin R. ; Thakur, Somyadip (2012) Sum rules and three point functions Journal of High Energy Physics, 2012 (11). ISSN 1029-8479

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Sum rules constraining the R-current spectral densities are derived holographically for the case of D3-branes, M2-branes and M5-branes all at finite chemical potentials. In each of the cases the sum rule relates a certain integral of the spectral density over the frequency to terms which depend both on long distance physics, hydrodynamics and short distance physics of the theory. The terms which which depend on the short distance physics result from the presence of certain chiral primaries in the OPE of two R-currents which are turned on at finite chemical potential. Since these sum rules contain information of the OPE they provide an alternate method to obtain the structure constants of the two R-currents and the chiral primary. As a consistency check we show that the 3 point function derived from the sum rule precisely matches with that obtained using Witten diagrams.

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:117026
Deposited On:14 Apr 2021 08:34
Last Modified:14 Apr 2021 08:34

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