Twofold symmetries of the pure gravity action

Cheung, Clifford; Remmen, Grant N.

doi:10.1007/jhep01(2017)104

Cited by 76 publications

(102 citation statements)

References 31 publications

(53 reference statements)

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“…The maximal compact subgroup of O (d, d) that includes the Lorentz group is given by O (1, d − 1) L × O (1, d − 1) R . Each local Lorentz group is originated from the left or right sector of the closed string, and this structure fits well with the double copy relation [44,45].…”

Section: Introductionsupporting

confidence: 61%

Kerr-Schild double field theory and classical double copy

Lee

2018

J. High Energ. Phys.

110

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The Kerr-Schild (KS) formalism is a powerful tool for constructing exact solutions in general relativity. In this paper, we present a generalization of the conventional KS formalism to double field theory (DFT) and supergravities. We introduce a generalized KS ansatz for the generalized metric in terms of a pair of null vectors. Applying this ansatz to the equations of motion of DFT, we construct the generalized KS field equation. While the generalized KS equations are quadratic in the fields, we show that it is possible to find solutions by considering linear equations only. Furthermore, we construct a Killing spinor equation under the generalized KS ansatz. Based on this formalism, we show that the classical double copy structure, which represents solutions of the Einstein equation in terms of solutions of the Maxwell equation, can be extended to the entire massless string NS-NS sector. We propose a supersymmetric classical double copy which shows that solutions of the Killing spinor equation can be realized in terms of solutions of the BPS equation of the supersymmetric Maxwell theory.

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Section: Introductionsupporting

confidence: 61%

Kerr-Schild double field theory and classical double copy

Lee

2018

J. High Energ. Phys.

110

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“…It was recently argued that the remarkable properties of gravitational amplitudes allowing to interpret them as squares of gauge theory amplitudes might be made manifest at the level of the action [98]. An important condition for this to be possible is that the action does not contain traces of the field.…”

Section: Discussionmentioning

confidence: 99%

Cubic interactions of Maxwell-like higher spins

Francia

Monaco

Mkrtchyan

2017

J. High Energ. Phys.

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We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings among different particles of various spins. The resulting vertices do not involve traces of the fields and in this sense are simpler than their Fronsdal counterparts. We propose an extension of both the free theory and of its cubic deformation to a more general class of partially reducible systems, that one can obtain from the original theory upon imposing trace constraints of various orders. The key to our results is a version of the Noether procedure allowing to systematically account for the deformations of the transversality conditions to be imposed on the gauge parameters at the free level.

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“…If gravitational solutions can be written in closed form, however, that is because they possess a large amount of symmetry (hidden or not), and it is not surprising that there may be an underlying linear structure. For generic solutions, there is ample evidence that the double copy applies in perturbation theory [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81], but its exact (non-perturbative) formulation remains elusive. This paper is organised as follows.…”

Section: Contentsmentioning

confidence: 99%

Type D spacetimes and the Weyl double copy

Luna

Monteiro

Nicholson

et al. 2019

Class. Quantum Grav.

148

262

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We study the double-copy relation between classical solutions in gauge theory and gravity, focusing on four-dimensional vacuum metrics of algebraic type D, a class that includes several important solutions. We present a double copy of curvatures that applies to all spacetimes of this type -the Weyl double copy -relating the curvature of the spacetime to an electromagnetic field strength. We show that the Weyl double copy is consistent with the previously known Kerr-Schild double copy, and in fact resolves certain ambiguities of the latter. The most interesting new example of the classical double copy presented here is that of the C-metric. This well-known solution, which represents a pair of uniformly accelerated black holes, is mapped to the Liénard-Wiechert potential for a pair of uniformly accelerated charges. We also present a new double-copy interpretation of the Eguchi-Hanson instanton. arXiv:1810.08183v2 [hep-th] 1 Apr 2019 -1 -an antisymmetric tensor. The focus of this article will be on the double copy in classical field theory. Moreover, we will restrict to pure Einstein gravity, so that the dilaton and the antisymmetric tensor are not present; we will comment on these fields in section 6.The KLT relations have the advantage that an underlying reason for the relation between gauge theory and gravity is clear: by joining two open strings, you get one closed string. But they have the disadvantage that the relations themselves become quite complicated for high multiplicity. More recently, Bern, Carrasco and Johansson (BCJ) discovered a new and simple form for the double copy [2] which also leads to a natural formulation of the double copy at loop level [3]. This form of the double copy has been extensively studied at tree level, leading to various proofs [4][5][6][7][8][9][10][11][12][13][14][15][16]. At loop level, the double copy has been extensively studied [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31], but to date it is still a conjecture [27]. Nevertheless, the BCJ double copy is a powerful tool in the theory of scattering amplitudes, which has led to rich new insights into the structure of supergravity, e.g. [32][33][34][35][36][37][38][39][40]. A celebrated recent example is the detailed computation of the UV structure of maximal supergravity at five loops [41]. The double copy is reviewed in, for example, [42][43][44].The success of the double copy for scattering amplitudes motivated the investigation of its manifestation for solutions of the classical field equations, with early steps given in [45][46][47]. Since the principles of the double copy, as currently understood, are perturbative in nature, it is remarkable that exact relations between solutions can be found, as discovered in [48]. In the same way that solutions to the Maxwell equations provide a class of linear solutions to the Yang-Mills equations (with trivial colour dependence), there is a class of solutions that linearise the Einstein equations. Kerr-Schild metrics belong to this class, and so do certain multi-Kerr-Sch...

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Twofold symmetries of the pure gravity action

Cited by 76 publications

References 31 publications

Kerr-Schild double field theory and classical double copy

Kerr-Schild double field theory and classical double copy

Cubic interactions of Maxwell-like higher spins

Type D spacetimes and the Weyl double copy

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