# Asymptotic structure of N=2$$ \mathcal{N}=2 $$ supergravity in 3D: extended super-BMS3 and nonlinear energy bounds

@article{Fuentealba2017AsymptoticSO, title={Asymptotic structure of N=2\$\$ \mathcal\{N\}=2 \$\$ supergravity in 3D: extended super-BMS3 and nonlinear energy bounds}, author={Oscar Fuentealba and Javier Matulich and Ricardo Troncoso}, journal={Journal of High Energy Physics}, year={2017}, volume={2017}, pages={1-31} }

A bstractThe asymptotically flat structure of N=20$$ \mathcal{N}=\left(2,0\right) $$ supergravity in three spacetime dimensions is explored. The asymptotic symmetries are found to be spanned by an extension of the super-BMS3 algebra, endowed with two independent affine û(1) currents of electric and magnetic type. These currents are associated to U(1) fields being even and odd under parity, respectively. Remarkably, although the U(1) fields do not generate a backreaction on the metric, they…

## 34 Citations

New $$ \mathcal{N} $$ = 2 SuperBMS3 algebra and invariant dual theory for 3D supergravity

- Physics, MathematicsJournal of High Energy Physics
- 2019

Abstract
We have constructed a two dimensional theory dual to 3D asymptotically flat Supergravity in presence of two supercharges with(out) internal R-symmetry. The duals in both the cases are…

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

- MathematicsThe European Physical Journal C
- 2020

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-…

Maximally N$$ \mathcal{N} $$ -extended super-BMS3 algebras and generalized 3D gravity solutions

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe consider the maximal N$$ \mathcal{N} $$ -extended supergravity theory in 3 dimensions with fermionic generators transforming under real but non necessarily irreducible representations of…

Integrable systems with BMS3 Poisson structure and the dynamics of locally flat spacetimes

- Mathematics
- 2017

A bstractWe construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS3 algebra, and then discuss its description in terms of the Riemannian geometry of locally flat…

Extended super BMS algebra of celestial CFT

- Physics, Mathematics
- 2020

We study two-dimensional celestial conformal field theory describing four- dimensional
$$ \mathcal{N} $$
=1 supergravity/Yang-Mills systems and show that the underlying symmetry is a…

On stabilization of Maxwell-BMS algebra

- MathematicsJournal of High Energy Physics
- 2020

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…

Three-dimensional (higher-spin) gravities with extended Schrödinger and l-conformal Galilean symmetries

- Mathematics, PhysicsJournal of High Energy Physics
- 2019

Abstract
We show that an extended 3D Schrödinger algebra introduced in [1] can be reformulated as a 3D Poincaré algebra extended with an SO(2) R-symmetry generator and an SO(2) doublet of bosonic…

Superconformal Bondi-Metzner-Sachs Algebra in Three Dimensions.

- MathematicsPhysical review letters
- 2021

An explicit canonical realization of the conformal extension of BMS_{3} is shown to emerge from the asymptotic structure of conformal gravity in three dimensions, endowed with a new set of boundary conditions.

Generalizing the $$\mathfrak {bms}_{3}$$bms3 and 2D-conformal algebras by expanding the Virasoro algebra

- Mathematics
- 2017

By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the $$\mathfrak {bms}_{3}$$bms3 algebra are obtained from the Virasoro algebra. We extend…

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

- Physics, MathematicsJournal of High Energy Physics
- 2021

Abstract
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…

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