# The nuts and bolts of the BMS bootstrap

@article{Bagchi2017TheNA,
title={The nuts and bolts of the BMS bootstrap},
author={Arjun Bagchi and Mirah Gary and Zodinmawia},
journal={Classical and Quantum Gravity},
year={2017},
volume={34}
}
• Published 16 May 2017
• Mathematics
• Classical and Quantum Gravity
In this paper, we elaborate on aspects of the recently introduced BMS bootstrap programme. We consider two-dimensional (2d) field theories with BMS3 symmetry and extensively use highest weight representations to uncover the BMS version of crossing symmetry in 4-point functions that are constrained by symmetry. The BMS bootstrap equation is formulated and then analytic expressions for BMS blocks are constructed by looking at the limit of large central charges. These results are also applicable…
33 Citations
BMS modular diaries: torus one-point function
• Mathematics
• 2020
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
The Shadow Formalism of Galilean CFT$_2$
• Mathematics
• 2022
In this work, we develop the shadow formalism for two-dimensional Galilean conformal field theory (GCFT2). We define the principal series representation of Galilean conformal symmetry group and find
BMS-invariant free scalar model
• Physics
Physical Review D
• 2022
The BMS (Bondi-van der Burg-Metzner-Sachs) symmetry arises as the asymptotic symmetry of flat spacetime at null infinity. In particular, the BMS algebra for three dimensional flat spacetime (BMS3) is
Geometric actions and flat space holography
• Physics
Journal of High Energy Physics
• 2020
In this paper we perform the Hamiltonian reduction of the action for three- dimensional Einstein gravity with vanishing cosmological constant using the Chern-Simons formulation and Bondi-van der
On Galilean Conformal Bootstrap II: $\xi=0$ sector
• Mathematics
• 2022
In this work, we continue our work on two dimensional Galilean conformal ﬁeld theory (GCFT 2 ). Our previous work (2011.11092) focused on the ξ 6 = 0 sector, here we investigate the more subtle ξ = 0
Remarks on BMS3 invariant field theories: Correlation functions and nonunitary CFTs
We study some generic aspects of CFTs with the BMS${}_3$ algebra defined as a chiral symmetry. These theories are realized through the isomorphism between the BMS${}_3$ and the $W(2,2)$ algebras. For
Semi-classical BMS3 blocks and flat holography
• E. Hijano
• Physics
Journal of High Energy Physics
• 2018
A bstractWe present the construction of BMS3 blocks in a two-dimensional field theory and compare the results with holographic computations involving probe particles propagating in flat space
Simplifying large spin bootstrap in Mellin space
• Mathematics
• 2017
A bstractWe set up the conventional conformal bootstrap equations in Mellin space and analyse the anomalous dimensions and OPE coefficients of large spin double trace operators. By decomposing the
The complex null string, Galilean conformal algebra and scattering equations
• Mathematics, Physics
• 2017
A bstractThe scattering equation formalism for scattering amplitudes, and its stringy incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we pursue the study a
Supersymmetric Galilean conformal blocks
• Mathematics, Physics
Journal of High Energy Physics
• 2018
A bstractWe set up the bootstrap procedure for supersymmetric Galilean Conformal (SGC) field theories in two dimensions by constructing the SGC blocks in the N=1$$\mathcal{N}=1$$ and two possible

## References

SHOWING 1-10 OF 68 REFERENCES
The BMS Bootstrap
• Mathematics
• 2016
We initiate a study of the bootstrap programme for field theories with BMS symmetry. Specifically, we look at two-dimensional field theories with BMS3 symmetry and using highest weight
Bondi-Metzner-Sachs bootstrap
• Mathematics
• 2017
We initiate a study of the bootstrap programme for field theories with BMS symmetry. Specifically, we look at two-dimensional field theories with BMS3 symmetry and, using highest weight
The BMS/GCA correspondence
: We ﬁnd a surprising connection between asymptotically ﬂat space-times and non-relativistic conformal systems in one lower dimension. The BMS group is the group of asymptotic isometries of ﬂat
Conformal Bootstrap in Mellin Space.
• Mathematics
Physical review letters
• 2017
This work proposes a new approach towards analytically solving for the dynamical content of conformal field theories (CFTs) using the bootstrap philosophy, and illustrates the power of this method in the ε expansion of the Wilson-Fisher fixed point by reproducing anomalous dimensions and obtaining OPE coefficients to higher orders in ε than currently available using other analytic techniques.
• Mathematics, Physics
• 2009
Non-relativistic versions of the AdS/CFT conjecture have recently been investigated in some detail. These have primarily been in the context of the Schrodinger symmetry group. Here we initiate a
Tensionless strings and Galilean Conformal Algebra
A bstractWe discuss an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been studied in
Universality of long-distance AdS physics from the CFT bootstrap
• Mathematics
• 2014
A bstractWe begin by explicating a recent proof of the cluster decomposition principle in AdS≥4 from the CFT≥3 bootstrap. The CFT argument also computes the leading interactions between distant
Virasoro conformal blocks and thermality from classical background fields
• Physics
• 2015
A bstractWe show that in 2d CFTs at large central charge, the coupling of the stress tensor to heavy operators can be re-absorbed by placing the CFT in a non-trivial background metric. This leads to
Aspects of the BMS/CFT correspondence
• Mathematics, Physics
• 2010
After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In