Three-dimensional Poincaré supergravity and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">N</mml:mi></mml:math>-extended supersymmetric BMS3 algebra

Caroca, Ricardo; Concha, Patrick; Fierro, Octavio; Rodríguez, Evelyn

doi:10.1016/j.physletb.2019.02.049

Cited by 24 publications

(29 citation statements)

References 127 publications

(196 reference statements)

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“…Thus, the semigroup S which allows us to obtain a new finite (super)algebra also reproduces its infinite-dimensional version. Such particularity has first been observed at the bosonic level in [50] and subsequently noticed at the supersymmetric level in [51].…”

Section: The Semigroup Expansion Methods and Super-virasoro Algebramentioning

confidence: 74%

“…The supersymmetric extension of the Lorentz algebra has been introduced in [67] and can be used to construct an exotic supersymmetric CS action [51]. An S-expanded super-Virasoro algebra can be obtained by considering a semigroup S = {λ i } such that the new algebra is given by the direct product S × svir.…”

Section: The Semigroup Expansion Methods and Super-virasoro Algebramentioning

confidence: 99%

“…Recently, it has been shown in [51] that the N -extended super-BM S 3 algebra can also be recovered through the semigroup expansion method considering an N -extended super-Virasoro algebra as the original superalgebra. Here we briefly review the obtention of the super-BM S 3 algebra following [51]. Then, we show that the superconformal algebra can also be obtained considering a different semigroup.…”

Section: Known Examplesmentioning

confidence: 99%

“…Interestingly, the BM S 3 , the deformed BM S 3 and the enlarged BM S 3 algebras can alternatively be recovered by applying a semigroup expansion [49] (S-expansion) to the Virasoro algebra [50]. Furthermore, the super-BM S 3 algebra and its N -extended versions have been recently obtained applying the S-expansion to the super-Virasoro algebra [51].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we extend the approach of [50,51] to others asymptotic symmetries whose supersymmetric extensions are unknown. In particular, we apply the S-expansion to the super-Virasoro algebra in order to introduce novel supersymmetric extensions of known asymptotic symmetries.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: The Semigroup Expansion Methods and Super-virasoro Algebramentioning

confidence: 74%

Section: The Semigroup Expansion Methods and Super-virasoro Algebramentioning

confidence: 99%

Section: Known Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

et al. 2020

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Asymptotic symmetry of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theory

Banerjee

Tabasum

Singh

2022

J. High Energ. Phys.

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Asymptotic symmetry plays an important role in determining physical observables of a theory. Recently, in the context of four dimensional asymptotically flat pure gravity and $$ \mathcal{N} $$ N = 1 supergravity, it has been proposed that OPEs of appropriate celestial amplitudes can be used to find their asymptotic symmetries. In this paper we find the asymptotic symmetry algebras of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theories using this alternative approach, namely using the OPEs of their respective celestial amplitudes. The algebra obtained here are in agreement with the known results in the literature.

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Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity

Fuentealba

Henneaux

Majumdar

et al. 2021

J. High Energ. Phys.

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We investigate the asymptotic structure of the free Rarita-Schwinger theory in four spacetime dimensions at spatial infinity in the Hamiltonian formalism. We impose boundary conditions for the spin-3/2 field that are invariant under an infinite-dimensional (abelian) algebra of non-trivial asymptotic fermionic symmetries. The compatibility of this set of boundary conditions with the invariance of the theory under Lorentz boosts requires the introduction of boundary degrees of freedom in the Hamiltonian action, along the lines of electromagnetism. These boundary degrees of freedom modify the symplectic structure by a surface contribution appearing in addition to the standard bulk piece. The Poincaré transformations have then well-defined (integrable, finite) canonical generators. Moreover, improper fermionic gauge symmetries, which are also well-defined canonical transformations, are further enlarged and turn out to be parametrized by two independent angle-dependent spinor functions at infinity, which lead to an infinite-dimensional fermionic algebra endowed with a central charge. We extend next the analysis to the supersymmetric spin-(1, 3/2) and spin-(2, 3/2) multiplets. First, we present the canonical realization of the super-Poincaré algebra on the spin-(1, 3/2) multiplet, which is shown to be consistently enhanced by the infinite-dimensional abelian algebra of angle-dependent bosonic and fermionic improper gauge symmetries associated with the electromagnetic and the Rarita-Schwinger fields, respectively. A similar analysis of the spin-(2, 3/2) multiplet is then carried out to obtain the canonical realization of the super-Poincaré algebra, consistently enhanced by the abelian improper bosonic gauge transformations of the spin-2 field (BMS supertranslations) and the abelian improper fermionic gauge transformations of the spin-3/2 field.

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Three-dimensional Poincaré supergravity and N-extended supersymmetric BMS3 algebra

Cited by 24 publications

References 127 publications

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

Asymptotic symmetry of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theory

Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity

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