The Russo-Susskind-Thorlacius model[1] or RST model in short is a modification of the CGHS model to take care of conformal anomalies. In the CGHS model, if we include Faddeev-Popov ghosts to gauge-fix diffeomorphisms in the conformal gauge, they contribute an anomaly of -24. Each matter field contributes an anomaly of 1. So, unless N=24, we will have gravitational anomalies. To the CGHS action
, the following term
![S_{\text{RST}} = - \frac{\kappa}{8\pi} \int d^2x\, \sqrt{-g} \left[ R\frac{1}{\nabla^2}R - 2\phi R \right]](https://web.archive.org/web/20110513060020im_/http://upload.wikimedia.org/math/c/a/3/ca330c7bce5fc6f31fdbcefd7a1cd154.png)
is added, where κ is either (N − 24) / 12 or N / 12 depending upon whether or not ghosts are considered. The nonlocal term leads to nonlocality. In the conformal gauge,
.
It might appear as if the theory is local in the conformal gauge, but this overlooks the fact that the Raychaudhuri equations are still nonlocal.
References
- ^ Russo, Jorge; Susskind, Leonard; Thorlacius, Lárus (15 Oct 1992). "The Endpoint of Hawking Evaporation". Physical Review. D 46 (8): 3444–3449. doi:10.1103/PhysRevD.46.3444. Archived from the original on 17 June 1992. http://arxiv.org/abs/hep-th/9206070.
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