The BMS Bootstrap

Abstract

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 representations, we construct the BMS bootstrap equation by formulating the notion of crossing symmetry in the four-point functions of these field theories. In the limit of large central charges, we find analytic expressions for the BMS blocks that are the basic ingredients for the solution of the bootstrap equation. This constitutes, to the best of our knowledge, the first example of the formulation and significant steps towards the solution of a bootstrap equation in a theory which is not a relativistic conformal field theory.

arXiv comment5 pages

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Cited by in corpus (52)

• Scattering Amplitudes: Celestial and Carrollian
• Bridging Carrollian and Celestial Holography
• Entanglement Entropy in Flat Holography
• Field Theories with Conformal Carrollian Symmetry
• Null Infinity and Unitary Representation of The Poincare Group
• AdS Witten Diagrams to Carrollian Correlators
• Flat space holography and complex SYK
• Conformal Carroll Scalars with Boosts
• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• A BMS-invariant free scalar model
• Holographic Entanglement and Poincare blocks in three dimensional flat space
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• The nuts and bolts of the BMS Bootstrap
• Correlation Functions of Warped CFT
• Geometric actions and flat space holography
• Carroll covariant scalar fields in two dimensions
• Symmetries of free massless particles and soft theorems
• Inhomogeneous Tensionless Superstrings
• Boosting to BMS
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Semi-classical BMS${}_3$ blocks and flat holography
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory
• One-Loop Quantum Effects in Carroll Scalars
• Integrable systems with BMS${}_3$ Poisson structure and the dynamics of locally flat spacetimes
• 2d Galilean Field Theories with Anisotropic Scaling
• Non-Lorentzian Chaos and Cosmological Holography
• The complex null string, Galilean conformal algebra and scattering equations
• On Galilean conformal bootstrap
• A BMS-invariant free fermion model
• BMS Characters and Modular Invariance
• Logarithmic Celestial Conformal Field Theory
• Holographic variables for CFT${}_2$ conformal blocks with heavy operators
• Schrödinger symmetry: a historical review
• Galilean Field Theories and Conformal Structure
• Linking Past and Future Null Infinity in Three Dimensions
• BMS Field Theories and Weyl Anomaly
• BMS Modular Diaries: Torus one-point function
• Light transformed gluon correlators in CCFT
• Flatspace Chiral Supergravity
• Meta-Schrödinger invariance
• Semi-classical BMS-blocks from the Oscillator Construction
• Supersymmetric Galilean conformal blocks
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• Infinite-dimensional meta-conformal Lie algebras in one and two spatial dimensions
• Boundedness of meta-conformal two-point functions in one and two spatial dimensions
• Remarks on BMS${}_3$ invariant field theories: correlation functions and nonunitary CFTs
• Carrollian superconformal theories and super BMS
• Meta-conformal algebras in $d$ spatial dimensions
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
• Recent progress on thermal transport in one-dimensional long-range interacting Fermi-Pasta-Ulam-Tsingou lattice systems