Abstract
Critical gravities originated in the context of three-dimensional massive gravities. They were conjectured to describe gravitational duals of two-dimensional logarithmic conformal field theories. In this talk, we show that critical gravities can also be studied in dimensions d > 3. As in three dimensions, higher-dimensional critical gravities exhibit logarithmic modes. We argue that the existence of these logarithmic modes leads one to conjecture that higher-dimensional critical gravities are dual to logarithmic conformal field theories in more than two dimensions.
Similar content being viewed by others
References
S. Deser, R. Jackiw, and S. Templeton, “Topologically Massive Gauge Theories,” Ann. Phys. 140, 372 (1982).
E. A. Bergshoeff, O. Hohm, and P. K. Townsend, “Massive Gravity in Three Dimensions,” Phys. Rev. Lett. 102, 201301 (2009). arXiv:0901.1766 [hep-th]
D. Grumiller and N. Johansson, “Instability in Cosmological Topologically Massive Gravity at the Chiral Point,” J. High Energy Phys. 0807, 134 (2008). arXiv:0805.2610 [hep-th]
K. Skenderis, M. Taylor, and B. C. van Rees, “Topologically Massive Gravity and the AdS/CFT Correspondence,” J. High Energy Phys. 0909, 045 (2009). arXiv:0906.4926 [hep-th]
D. Grumiller and I. Sachs, “AdS3/LCFT2 — Correlators in Cosmological Topologically Massive Gravity,” J. High Energy Phys. 1003, 012 (2010). arXiv:0910.5241 [hep-th]
D. Grumiller and O. Hohm, “AdS3/LCFT2 — Correlators in New Massive Gravity,” Phys. Lett. B 686, 264 (2010). arXiv:0911.4274 [hep-th]
D. Grumiller, N. Johansson, and T. Zojer, “Short-Cut to New Anomalies in Gravity Duals to Logarithmic Conformal Field Theories.” arXiv:1010.4449 [hep-th]
H. Lu and C. N. Pope, “Critical Gravity in Four Dimensions,” Phys. Rev. Lett. 106, 181302 (2011). arXiv:1101.1971 [hep-th]
S. Deser, H. Liu, H. Lu, C. N. Pope, T. C. Sisman, and B. Tekin, “Critical Points of D-Dimensional Extended Gravities,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 83, 061502 (2011). arXiv:1101.4009 [hep-th]
E. A. Bergshoeff, O. Hohm, J. Rosseel, and P. K. Townsend, “Modes of Log Gravity,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 83, 104038 (2011). arXiv:1102.4091[hep-th]
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Rosseel, J. Critical gravities in d ≥ 3. Phys. Part. Nuclei 43, 646–648 (2012). https://doi.org/10.1134/S1063779612050334
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063779612050334