Warped conformal field theory as lower spin gravity

Hofman, Diego M.; Rollier, Blaise

doi:10.1016/j.nuclphysb.2015.05.011

Cited by 101 publications

(216 citation statements)

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“…After taking the flat limit we found that among the symmetries of the N = 1 Carroll superparticle we have a supersymmetric extension of the Lifshitz Carroll algebra [30] with dynamical exponent z = 0. The bosonic part of this algebra has appeared as a symmetry of warped conformal field theories [22].…”

Section: Discussion and Outlookmentioning

confidence: 99%

“…One approach is to gauge the (super) Carroll algebra and/or the Lifhsitz Carroll algebra with z = 0. In this respect we note that the gauging of the Carroll algebra as performed in [28] can be improved by imposing curvature constraints that allow to set some of the spin-connection fields equal to zero, like in [22], instead of trying to solve for all of the spin-connection fields. It would be interesting to apply this improved gauging technique to the other algebras as well.…”

Section: Discussion and Outlookmentioning

confidence: 99%

“…The Lifshitz Carroll algebra with z=0 has appeared in a recent study of warped conformal field theories [22].…”

Section: The Flat Limitmentioning

confidence: 99%

“…For instance, theories with Carroll symmetries occur in studies of tachyon condensation [21]. More recently, they also have appeared in the study of warped conformal field theories [22].…”

Section: Introductionmentioning

confidence: 99%

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The symmetries of the Carroll superparticle

Bergshoeff¹,

Gomis²,

Parra³

2016

J. Phys. A: Math. Theor.

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Motivated by recent applications of Carroll symmetries we investigate the geometry of flat and curved (AdS) Carroll space and the symmetries of a particle moving in such a space both in the bosonic as well as in the supersymmetric case. In the bosonic case we find that the Carroll particle possesses an infinite-dimensional symmetry which only in the flat case includes dilatations. The duality between the Bargmann and Carroll algebra, relevant for the flat case, does not extend to the curved case.In the supersymmetric case we study the dynamics of the N = 1 AdS Carroll superparticle. Only in the flat limit we find that the action is invariant under an infinite-dimensional symmetry that includes a supersymmetric extension of the Lifshitz Carroll algebra with dynamical exponent z = 0. We also discuss in the flat case the extension to N = 2 supersymmetry and show that the flat N = 2 superparticle is equivalent to the (non-moving) N = 1 superparticle and that therefore it is not BPS unlike its Galilei counterpart. This is due to the fact that in this case kappa-symmetry eliminates the linearized supersymmetry.In an appendix we discuss the N = 2 curved case in three dimensions only and show that there are two N = 2 theories that are physically different.

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Section: Discussion and Outlookmentioning

confidence: 99%

Section: Discussion and Outlookmentioning

confidence: 99%

“…The Lifshitz Carroll algebra with z=0 has appeared in a recent study of warped conformal field theories [22].…”

Section: The Flat Limitmentioning

confidence: 99%

“…For instance, theories with Carroll symmetries occur in studies of tachyon condensation [21]. More recently, they also have appeared in the study of warped conformal field theories [22].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The symmetries of the Carroll superparticle

Bergshoeff¹,

Gomis²,

Parra³

2016

J. Phys. A: Math. Theor.

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“…c We thank Diego Hofman for sharing with us the observation that a particular truncation of this action is related to the lower-spin gravity action introduced in 17 .…”

Section: Extended Bargmann Gravitymentioning

confidence: 99%

A new look at Newton–Cartan gravity

Bergshoeff

Rosseel

2016

Int. J. Mod. Phys. A

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Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals

Wen

2019

J. High Energ. Phys.

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Based on the Lewkowycz-Maldacena prescription and the fine structure analysis of holographic entanglement proposed in [1], we explicitly calculate the holographic entanglement entropy for warped CFT that duals to AdS 3 with a Dirichlet-Neumann type of boundary conditions. We find that certain type of null geodesics emanating from the entangling surface ∂A relate the field theory UV cutoff and the gravity IR cutoff. Inspired by the construction, we furthermore propose an intrinsic prescription to calculate the generalized gravitational entropy for general spacetimes with non-Lorentz invariant duals. Compared with the RT formula, there are two main differences. Firstly, instead of requiring that the bulk extremal surface E should be anchored on ∂A, we require the consistency between the boundary and bulk causal structures to determine the corresponding E. Secondly we use the null geodesics (or hypersurfaces) emanating from ∂A and normal to E to regulate E in the bulk. We apply this prescription to flat space in three dimensions and get the entanglement entropies straightforwardly. arXiv:1810.11756v3 [hep-th] 29 Jan 20191 The extremal condition is the result of imposing the equations of motion and replica symmetry on all the fields in the action. In [13], as the gauge fields are nondynamical and do not appear in the symplectic structure, thus should not be imposed with the replica symmetry (or periodic) condition. As a result, in that case the geometric quantity E that measures the entanglement entropy is not an extremal surface. See [14] for a simpler discussion on the extremal condition.2 A proof for the homology constraint at topological level in AdS/CFT is given in [19] 3 Although the AdS/CFT has attracted most of the attentions, the holographic principle is assumed to be hold for general spacetimes. So far the holography beyond AdS/CFT that has been proposed include the dS/CFT correspondence [20], the Lifshitz spacetime/Lifshitz-type field theory duality [21][22][23][24], the Kerr/CFT correspondence [25], the WAdS/CFT [26,27] or WAdS/WCFT [28,29] correspondence, and flat holography in four dimensions [30][31][32] and three dimensions [33][34][35].

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Warped conformal field theory as lower spin gravity

Cited by 101 publications

References 100 publications

The symmetries of the Carroll superparticle

The symmetries of the Carroll superparticle

A new look at Newton–Cartan gravity

Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals

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