Massive gravity: A primer

E. A. Bergshoeff, M. Kovacevic, J. Rosseel, Y. Yin

Research output: Chapter in Book/Report/Conference proceedingChapter


We show that the recently constructed 3D higher-derivative New Massive Gravity theory is the result of a general procedure that allows one to construct, in the free case, higher-derivative gauge theories for a wide class of spins in diverse dimensions. We specify the criterium that the spin and dimension need to satisfy in order for the construction to apply. To clarify the general procedure we present examples of higher-derivative gauge theories for the special cases of spin 1 in D=3, 5 and 7 dimensions. We next apply the procedure to spin 2 in D=3 dimensions and show how the New Massive Gravity and Topological Massive Gravity theories are constructed. Both theories allow interactions. We indicate how and under which conditions the 3D New Massive Gravity theory can be extended to D=4 dimensions and the 3D Topological Massive Gravity theory can be extended to D=7 dimensions. We discuss the issue of interactions of these two theories.

Original languageEnglish
Title of host publicationQuantum Gravity and Quantum Cosmology
Number of pages27
Publication statusPublished - 2013

Publication series

NameLecture Notes in Physics
ISSN (Print)00758450

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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    Bergshoeff, E. A., Kovacevic, M., Rosseel, J., & Yin, Y. (2013). Massive gravity: A primer. In Quantum Gravity and Quantum Cosmology (Vol. 863, pp. 119-145). (Lecture Notes in Physics; Vol. 863).