2012

Fermi Surfaces and Analytic Green's Functions from Conformal Gravity

Li, Jun, Liu, Hai-Shan, Lu, H. et al.

Understand

We construct T^2-symmetric charged AdS black holes in conformal gravity.

The most general solution up to an overall conformal factor contains three non-trivial parameters: the mass, electric charge and a quantity that can be identified as the massive spin-2 hair.
We study the Dirac equation for the charged massless spinor in this background.
The equation can be solved in terms of the general Heun's function for generic frequency \omega and wave number k.

Built on

T. Hartman and S.A. Hartnoll, Cooper pairing near charged black holes,
Original
1918
Earlier work this paper cites.
H. Lü and C. N. Pope, Critical gravity in four dimensions,
Original
1971
Earlier work this paper cites.
K.S. Stelle and P.C. West, Minimal auxiliary fields for supergravity,
1978
Earlier work this paper cites.
S. Ferrara and P. van Nieuwenhuizen, The auxiliary fields of supergravity,
1978
Earlier work this paper cites.
L.F. Abbott and S. Deser, Stability of Gravity with a Cosmological Constant,
1982
Earlier work this paper cites.
R.J. Riegert, Birkhoff’s theorem in conformal gravity,
1984
Earlier work this paper cites.
A. Ashtekar and A. Magnon, Asymptotically anti-de Sitter space-times,
1984
Earlier work this paper cites.
M. Cubrovic, J. Zaanen and K. Schalm, Science 325
Original
1993
Earlier work this paper cites.
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory,
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography,
1998
Earlier work this paper cites.
R. Le Du, Higher derivative supergravity in U ⁡ ( 1 ) U(1) superspace,
1998
Earlier work this paper cites.

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