BMS modules in three dimensions

Abstract:In this brief note, we show that the residual symmetries that arise in the analysis of the tensionless superstrings in the equivalent of the conformal gauge is (a trivial extension of) the recently discovered 3d Super Bondi-Metzner-Sachs algebra, discussed in the context of asymptotic symmetries of 3d Supergravity in flat-spacetimes. This helps us uncover a limiting approach to the construction of the tensionless superstring from the point of view of the worldsheet, analogous to the one we had adopted earlier for the closed tensionless bosonic string.

Section: Jhep10(2016)113mentioning

confidence: 91%

Tensionless superstrings: view from the worldsheet

Chakrabortty

Parekh

Bagchi

2016

“…Namely, 37) where u, x and u , x are the variables with respect to which the action (5.34) must be extremal, and as before, they correspond to euclidean AdS 2 bulk points in Poincaré coordinates. Before continuing it is useful to exploit the symmetry of the problem.…”

Section: Jhep05(2018)068mentioning

confidence: 99%

“…In this section, we compute low-point functions and global blocks involving general representations with non-vanishing ∆ and ξ. Note that these representations of the BMS 3 algebra are not unitary [36,37]. It would also be interesting to understand the holography of blocks involving unitary irreducible representations of the BMS 3 algebra.…”

Section: Spinning Correlators and Poincaré Blocksmentioning

confidence: 99%

Holographic entanglement and Poincaré blocks in three-dimensional flat space

Hijano

Rabideau

2018

154

We propose a covariant prescription to compute holographic entanglement entropy and Poincaré blocks (Global BMS blocks) in the context of three-dimensional Einstein gravity in flat space. We first present a prescription based on worldline methods in the probe limit, inspired by recent analog calculations in AdS/CFT. Building on this construction, we propose a full extrapolate dictionary and use it to compute holographic correlators and blocks away from the probe limit.

“…Interesting developments include connections with Virasoro algebra [34], isomorphism between BMS algebra and Galileo conformal algebra [25], representations and bootstrap [37][38][39][40][41][42][43][44][45]. Flat holography based on BMS 3 symmetry was proposed in [25,26] and supporting evidence can be found in [46][47][48].…”

Section: Jhep07(2017)142mentioning

confidence: 99%

Entanglement entropy in flat holography

Jiang

Song

Wen

2017

123

301

BMS symmetry, which is the asymptotic symmetry at null infinity of flat spacetime, is an important input for flat holography. In this paper, we give a holographic calculation of entanglement entropy and Rényi entropy in three dimensional Einstein gravity and Topologically Massive Gravity. The geometric picture for the entanglement entropy is the length of a spacelike geodesic which is connected to the interval at null infinity by two null geodesics. The spacelike geodesic is the fixed points of replica symmetry, and the null geodesics are along the modular flow. Our strategy is to first reformulate the Rindler method for calculating entanglement entropy in a general setup, and apply it for BMS invariant field theories, and finally extend the calculation to the bulk.