On higher derivatives in 3D gravity and higher-spin gauge theories

被引：85

作者：

Bergshoeff, Eric A. ^{[1
]}

Hohm, Olaf ^{[2
]}

Townsend, Paul K. ^{[3
]}

机构：

[1] Univ Groningen, Ctr Theoret Phys, NL-9747 AG Groningen, Netherlands

[2] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[3] Univ Cambridge, Ctr Math Sci, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

ANNALS OF PHYSICS | 2010年 / 325卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

SELF-DUALITY; EQUATION;

D O I：

10.1016/j.aop.2009.12.010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field equations. We recover most known equivalences for spins 1 and 2, and find some new ones. In particular, we find a non-unitary massive 3D gravity theory with a 5th order term obtained by contraction of the Ricci and Cotton tensors: this term is part of an N = 2 super-invariant that includes the "extended Chern-Simons" term of 3D electrodynamics. We also find a new unitary 6th order gauge theory for "self-dual" spin 3. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1118 / 1134

页数：17

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