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

Banerjee, Narayan; Bhattacharjee, Arindam; Lodato, Ivano; Neogi, Turmoli

doi:10.1007/jhep01(2019)115

Cited by 24 publications

(22 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Algebras which can be realised using asymmetric Galilean contractions have appeared in the literature before, and include WZW models on non-semisimple Lie groups [36,37,38,39], supersymmetric tensionless strings [9,10], and super-BMS algebras [40,41,42,43,44,45,46,47]. In fact, several of these papers employ inhomogeneous contraction techniques which are special cases of the general construction presented here.…”

Section: Introductionmentioning

confidence: 99%

Multi-graded Galilean conformal algebras

2020

View full text Add to dashboard Cite

The usual Galilean contraction procedure for generating new conformal symmetry algebras takes as input a number of symmetry algebras which are equivalent up to central charge. We demonstrate that the equivalence condition can be relaxed by inhomogeneously contracting the chiral algebras and present general results for the ensuing asymmetric Galilean algebras. Several examples relevant to conformal field theory are discussed in detail, including superconformal algebras and W-algebras. We also discuss how the Sugawara construction is modified in the asymmetric setting.

show abstract

Section: Introductionmentioning

confidence: 99%

Multi-graded Galilean conformal algebras

2020

View full text Add to dashboard Cite

show abstract

“…There are obvious generalisations to our work in this paper to theories with higher spin [66,67], and supersymmetric BMS theories (see e.g. [68][69][70]), and other extensions of BMS e.g. with extra currents [72].…”

Section: Discussion and Future Directionsmentioning

confidence: 66%

BMS modular diaries: torus one-point function

Bagchi

Nandi

Saha

et al. 2020

J. High Energ. Phys.

View full text Add to dashboard Cite

Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions. In this paper, we continue our investigations of the modular properties of these field theories. In particular, we focus on the BMS torus one-point function. We use two different methods to arrive at expressions for asymptotic structure constants for general states in the theory utilising modular properties of the torus one-point function. We then concentrate on the BMS highest weight representation, and derive a host of new results, the most important of which is the BMS torus block. In a particular limit of large weights, we derive the leading and sub-leading pieces of the BMS torus block, which we then use to rederive an expression for the asymptotic structure constants for BMS primaries. Finally, we perform a bulk computation of a probe scalar in the background of a flatspace cosmological solution based on the geodesic approximation to reproduce our field theoretic results.

show abstract

“…These infinitedimensional algebras define the global symmetries of the corresponding boundary field theory that controls the solution space of the bulk theory [31,32] (for a geometric point of view see also [33]). Different generalizations of asymptotic symmetries for supersymmetric and higher spin extensions of three-dimensional Einstein gravity, have been found in the last years [34][35][36][37][38][39][40][41][42][43]. In [17], the surface charge algebra of a CS gravity theory with Maxwell symmetry was presented.…”

Section: Introductionmentioning

confidence: 99%

Semi-simple enlargement of the $$ \mathfrak{b}\mathfrak{m}{\mathfrak{s}}_3 $$ algebra from a $$ \mathfrak{so}\left(2,\ 2\right)\oplus \mathfrak{so}\left(2,\ 1\right) $$ Chern-Simons theory

Concha

Merino²,

Rodríguez

et al. 2019

J. High Energ. Phys.

View full text Add to dashboard Cite

In this work we present a BMS-like ansatz for a Chern-Simons theory based on the semi-simple enlargement of the Poincaré symmetry, also known as AdS-Lorentz algebra. We start by showing that this ansatz is general enough to contain all the relevant stationary solutions of this theory and provides with suitable boundary conditions for the corresponding gauge connection. We find an explicit realization of the asymptotic symmetry at null infinity, which defines a semi-simple enlargement of the bms 3 algebra and turns out to be isomorphic to three copies of the Virasoro algebra. The flat limit of the theory is discussed at the level of the action, field equations, solutions and asymptotic symmetry.

show abstract

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

Cited by 24 publications

References 50 publications

Multi-graded Galilean conformal algebras

Multi-graded Galilean conformal algebras

BMS modular diaries: torus one-point function

Semi-simple enlargement of the $$ \mathfrak{b}\mathfrak{m}{\mathfrak{s}}_3 $$ algebra from a $$ \mathfrak{so}\left(2,\ 2\right)\oplus \mathfrak{so}\left(2,\ 1\right) $$ Chern-Simons theory

Contact Info

Product

Resources

About