Lovelock gravities from Born–Infeld gravity theory

Concha, Patrick; Merino, Nelson; Rodríguez, Evelyn

doi:10.1016/j.physletb.2016.09.008

Cited by 33 publications

(48 citation statements)

References 78 publications

(127 reference statements)

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“…The AdS-Lorentz symmetry has been studied in [67,77,95,102] and can be seen as a deformation of the Maxwell algebra. Further extensions of the AdS-Lorentz algebra in higher dimensions have been studied in [103][104][105] in order to recover the pure Lovelock theory. As we can see this is in contradiction with the result of theorem 5.7. of [106] in which they did not mention the term c JM 1 δ m+n,0 in (4.19).…”

Section: Central Extension Of Deformed Max 3 Algebra In Its Ideal Partmentioning

confidence: 99%

On stabilization of Maxwell-BMS algebra

Concha

Safari

2020

J. High Energ. Phys.

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In this work we present different infinite dimensional algebras which appear as deformations of the asymptotic symmetry of the three-dimensional Chern-Simons gravity for the Maxwell algebra. We study rigidity and stability of the infinite dimensional enhancement of the Maxwell algebra. In particular, we show that three copies of the Witt algebra and the bms 3 ⊕ witt algebra are obtained by deforming its ideal part. New family of infinite dimensional algebras are obtained by considering deformations of the other commutators which we have denoted as M(a, b; c, d) and M(ᾱ,β;ν). Interestingly, for the specific values a = c = d = 0, b = − 1 2 the obtained algebra M(0, − 1 2 ; 0, 0) corresponds to the twisted Schrödinger-Virasoro algebra. The central extensions of our results are also explored. The physical implications and relevance of the deformed algebras introduced here are discussed along the work.

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Section: Central Extension Of Deformed Max 3 Algebra In Its Ideal Partmentioning

confidence: 99%

On stabilization of Maxwell-BMS algebra

Concha

Safari

2020

J. High Energ. Phys.

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“…Such symmetry is a semi-simple enlargement of the Poincaré one and has been initially introduced in [46,47]. The AdS-Lorentz algebra and its generalizations have been particularly useful to recover (pure) Lovelock gravity theories from CS and Born-Infeld theories [48][49][50]. At the supersymmetric level, the supersymmetric extension of the AdS-Lorentz algebra has been used to introduce alternatively a cosmological constant term in four-dimensional supergravity [51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Non-relativistic gravity theory based on an enlargement of the extended Bargmann algebra

Concha

Rodríguez

2019

J. High Energ. Phys.

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In this work we study a non-relativistic three dimensional Chern-Simons gravity theory based on an enlargement of the Extended Bargmann algebra. A finite non-relativistic Chern-Simons gravity action is obtained through the non-relativistic contraction of a particular U (1) enlargement of the so-called AdS-Lorentz algebra. We show that the non-relativistic gravity theory introduced here reproduces the Maxwellian Exotic Bargmann gravity theory when a flat limit ℓ → ∞ is applied. We also present an alternative procedure to obtain the non-relativistic versions of the AdS-Lorentz and Maxwell algebras through the semigroup expansion method.

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“…Subsequently, a semi-simple enlargement of the BM S 3 algebra has been introduced in [34] corresponding to the asymptotic symmetry of a gravity theory invariant under the so-called AdS-Lorentz algebra which can be seen as a semi-simple enlargement of the Poincaré algebra. The AdS-Lorentz symmetry has been introduced in [35][36][37][38] and has lead to diverse applications in the context of Lovelock gravity [39][40][41] and non-relativistic gravity theory [42]. An interesting feature of the enlarged BM S 3 algebra obtained in [34] is the connection to the deformed BM S 3 algebra through the flat limit ℓ → ∞.…”

Section: Introductionmentioning

confidence: 99%

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

et al. 2020

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In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-BM S 3 , the superconformal algebra and new infinite-dimensional superalgebras are obtained by expanding the super-Virasoro algebra. The new superalgebras obtained are supersymmetric extensions of the asymptotic algebras of the Maxwell and the so(2, 2) ⊕ so(2, 1) gravity theories. We extend our results to the N = 2 and N = 4 cases and find that R-symmetry generators are required. We also show that the new infinite-dimensional structures are related through a flat limit ℓ → ∞. Conclusions 316 Acknowledgment 32

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Lovelock gravities from Born–Infeld gravity theory

Cited by 33 publications

References 78 publications

On stabilization of Maxwell-BMS algebra

On stabilization of Maxwell-BMS algebra

Non-relativistic gravity theory based on an enlargement of the extended Bargmann algebra

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

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