Super-BMS3 algebras from N = 2 $$ \mathcal{N}=2 $$ flat supergravities

Lodato, Ivano; Merbis, Wout

doi:10.1007/jhep11(2016)150

Cited by 53 publications

(80 citation statements)

References 43 publications

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“…The limit works fine at each step of the asymptotic symmetry analysis, definition of the charges, and even the level of the charge algebra. As expected, these results in this limit match precisely those of [34]. In particular, the central charges become…”

Section: Bulk Chiral Limitsupporting

confidence: 86%

“…These are essentially the boundary conditions presented in [34]. Note that all the Lie-(super) algebra components of a, by these boundary conditions, are no longer dynamical (in the sense that they are phase space constants).…”

Section: B Asymptotic Symmetries Of N = 2 Supergravity: Boundary Conmentioning

confidence: 98%

“…Here, the fermions are scaled in the same way [51] and were called the "democratic" limit in [34]. This algebra is given by…”

Section: B Sgca H or The Democratic Limitmentioning

confidence: 99%

“…The initial departure of our analysis from the case of [34] is that for the parity breaking despotic theory, the asymptotic symmetry algebra has two nonzero central extensions in our case instead of a single one. We perform a scaling limit on the field theory with super-BMS symmetries and, through an analysis of null vectors, show that there is a consistent truncation to a single copy of a super-Virasoro algebra.…”

Section: Introductionmentioning

confidence: 98%

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Flatspace chiral supergravity

et al. 2018

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We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking theory of supergravity. We show how the asymptotic symmetries of the bulk theory reduce from the "despotic" super Bondi-Metzner-Sachs algebra (or equivalently the inhomogeneous super Galilean conformal algebra) to a single copy of the super-Virasoro algebra in this limit and also reproduce the same reduction from a study of null vectors in the putative 2d dual field theory.

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Section: Bulk Chiral Limitsupporting

confidence: 86%

Section: B Asymptotic Symmetries Of N = 2 Supergravity: Boundary Conmentioning

confidence: 98%

“…Here, the fermions are scaled in the same way [51] and were called the "democratic" limit in [34]. This algebra is given by…”

Section: B Sgca H or The Democratic Limitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Flatspace chiral supergravity

et al. 2018

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“…We observed in [42] that even for the homogeneous tensionless superstring, the underlying algebra bore a close resemblance to the symmetries arising out of a canonical asymptotic symmetry analysis of N = 1 supergravity in 3d flat space [45]. 5 It is of interest to note that the SGCA I also has recently been realised as the asymptotic symmetries of a particular twisted N = 2 flat supergravity [56], which the authors rather wonderfully call "despotic" supergravity as opposed to the usual "democratic" limit which leads to the SGCA H and the usual (untwisted) flat N = 2 supergravity. Our previous discussions about the naturalness of the emergence of the SGCA I in the tensionless limit (with reference to the solutions of the modified Clifford algebra) seems to indicate that in the space of 3d N = 2 flat supergravities, the despotic dominates over the democratic theories.…”

Section: Comments and Future Directionsmentioning

confidence: 90%

Inhomogeneous tensionless superstrings

Bagchi

Banerjee

Chakrabortty

et al. 2018

J. High Energ. Phys.

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We construct a novel tensionless limit of Superstring theory that realises the Inhomogeneous Super Galilean Conformal Algebra (SGCA I ) as the residual symmetry in the analogue of the conformal gauge, as opposed to previous constructions of the tensionless superstring, where a smaller symmetry algebra called the Homogeneous SGCA emerged as the residual gauge symmetry on the worldsheet. We obtain various features of the new tensionless theory intrinsically as well as from a systematic limit of the corresponding features of the tensile theory. We discuss why it is desirable and also natural to work with this new tensionless limit and the larger algebra.

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

Fuentealba

Matulich

Pérez

et al. 2018

J. High Energ. Phys.

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We construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS 3 algebra, and then discuss its description in terms of the Riemannian geometry of locally flat spacetimes in three dimensions.The analysis is performed in terms of two-dimensional gauge fields for isl(2, R), being isomorphic to the Poincaré algebra in 3D. Although the algebra is not semisimple, the formulation can still be carried out à la Drinfeld-Sokolov because it admits a nondegenerate invariant bilinear metric. The hierarchy turns out to be bi-Hamiltonian, labeled by a nonnegative integer k, and defined through a suitable generalization of the Gelfand-Dikii polynomials. The symmetries of the hierarchy are explicitly found. For k ≥ 1, the corresponding conserved charges span an infinite-dimensional Abelian algebra without central extensions, so that they are in involution; while in the case of k = 0, they generate the BMS 3 algebra. In the special case of k = 1, by virtue of a suitable field redefinition and time scaling, the field equations are shown to be equivalent to the ones of a specific type of the Hirota-Satsuma coupled KdV systems. For k ≥ 1, the hierarchy also includes the so-called perturbed KdV equations as a particular case. A wide class of analytic solutions is also explicitly constructed for a generic value of k.Remarkably, the dynamics can be fully geometrized so as to describe the evolution of spacelike surfaces embedded in locally flat spacetimes. Indeed, General Relativity in 3D can be endowed with a suitable set of boundary conditions, so that the Einstein equations precisely reduce to the ones of the hierarchy aforementioned. The symmetries of the integrable systems then arise as diffeomorphisms that preserve the asymptotic form of the spacetime metric, and therefore, they become Noetherian. The infinite set of conserved charges is then recovered from the corresponding surface integrals in the canonical approach.

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Super-BMS3 algebras from N = 2 $$ \mathcal{N}=2 $$ flat supergravities

Cited by 53 publications

References 43 publications

Flatspace chiral supergravity

Flatspace chiral supergravity

Inhomogeneous tensionless superstrings

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

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