### Abstract

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 language | English |
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Title of host publication | Quantum Gravity and Quantum Cosmology |

Pages | 119-145 |

Number of pages | 27 |

Volume | 863 |

DOIs | |

Publication status | Published - 2013 |

### Publication series

Name | Lecture Notes in Physics |
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Volume | 863 |

ISSN (Print) | 00758450 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Quantum Gravity and Quantum Cosmology*(Vol. 863, pp. 119-145). (Lecture Notes in Physics; Vol. 863). https://doi.org/10.1007/978-3-642-33036-0_6

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*Quantum Gravity and Quantum Cosmology.*vol. 863, Lecture Notes in Physics, vol. 863, pp. 119-145. https://doi.org/10.1007/978-3-642-33036-0_6

**Massive gravity : A primer.** / Bergshoeff, E. A.; Kovacevic, M.; Rosseel, J.; Yin, Y.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Massive gravity

T2 - A primer

AU - Bergshoeff, E. A.

AU - Kovacevic, M.

AU - Rosseel, J.

AU - Yin, Y.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84870497332&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-33036-0_6

DO - 10.1007/978-3-642-33036-0_6

M3 - Chapter

SN - 9783642330353

VL - 863

T3 - Lecture Notes in Physics

SP - 119

EP - 145

BT - Quantum Gravity and Quantum Cosmology

ER -