Built on

J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP 9807
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, “Renormalization group flows from holography supersymmetry and a c-theorem,” Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
H. Saida and J. Soda, “Statistical entropy of BTZ black hole in higher curvature gravity,” Phys. Lett. B 471
2000
Earlier work this paper cites.
P. Kraus and F. Larsen, “Microscopic black hole entropy in theories with higher derivatives,” JHEP 0509
2005
Earlier work this paper cites.
E. A. Bergshoeff, O. Hohm and P. K. Townsend, “Massive Gravity in Three Dimensions,” Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
E. A. Bergshoeff, O. Hohm and P. K. Townsend, “More on Massive 3D Gravity,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.

Similar

I. Gullu, T. C. Sisman and B. Tekin, “Unitarity analysis of general Born-Infeld gravity theories,” Phys. Rev. D 82
Original
2010
Cited alongside, same era.
I. Gullu, T. C. Sisman and B. Tekin, “Born-Infeld extension of new massive gravity,” Class. Quant. Grav. 27
Original
2010
Cited alongside, same era.
A. Sinha, “On the new massive gravity and AdS/CFT,” JHEP 1006
Original
2010
Cited alongside, same era.
M. F. Paulos, “New massive gravity extended with an arbitrary number of curvature corrections,” Phys. Rev. D 82
Original
2010
Cited alongside, same era.
I. Gullu, T. C. Sisman and B. Tekin, “c-functions in the Born-Infeld extended New Massive Gravity,” Phys. Rev. D 82

Then

I. Gullu, T. C. Sisman and B. Tekin, “All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions,” Phys. Rev. D 83
2011
Later among the works it cites.
A. Ghodsi and D. M. Yekta, “Black Holes in Born-Infeld Extended New Massive Gravity,” Phys. Rev. D 83
Original
2011
Later among the works it cites.
I. Gullu, T. C. Sisman and B. Tekin, “All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions,” Phys. Rev. D 83
Original
2011
Later among the works it cites.
I. Gullu, T. C. Sisman and B. Tekin, “Born-Infeld Gravity with a Massless Graviton in Four Dimensions,” Phys. Rev. D 91
Original
2015
Later among the works it cites.
I. Gullu, T. C. Sisman and B. Tekin, “Born-Infeld Gravity with a Unique Vacuum and a Massless Graviton,” Phys. Rev. D 92

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2018

Holographic c-theorem and Born-Infeld Gravity Theories

Alkac, Gokhan, Tekin, Bayram

Understand

The requirement of the existence of a holographic c-function for higher derivative theories is a very restrictive one and hence most theories do not possess this property.

Here, we show that, when some of the parameters are fixed, the $D\geq3$ Born-Infeld gravity theories admit a holographic c-function.
We work out the details of the $D=3$ theory with no free parameters, which is a non-minimal Born-Infeld type extension of new massive gravity.
Moreover, we show that these theories generate an infinite number of higher derivative models admitting a c-function in a suitable expansion and therefore they can be studied at any truncated order.

Built on

J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP 9807
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, “Renormalization group flows from holography supersymmetry and a c-theorem,” Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
H. Saida and J. Soda, “Statistical entropy of BTZ black hole in higher curvature gravity,” Phys. Lett. B 471
2000
Earlier work this paper cites.
P. Kraus and F. Larsen, “Microscopic black hole entropy in theories with higher derivatives,” JHEP 0509
2005
Earlier work this paper cites.
E. A. Bergshoeff, O. Hohm and P. K. Townsend, “Massive Gravity in Three Dimensions,” Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
E. A. Bergshoeff, O. Hohm and P. K. Townsend, “More on Massive 3D Gravity,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.