Supersymmetric Galilean conformal blocks

Abstract

We set up the bootstrap procedure for supersymmetric Galilean Conformal (SGC) field theories in two dimensions by constructing the SGC blocks in the $\mathcal{N}=1$ and two possible $\mathcal{N}=2$ extensions of the Galilean conformal algebra. In all analyzed cases, we present the bootstrap equations by crossing symmetry of the four point function. In addition, we compute the global SGC blocks analytically by solving the differential equations obtained by acting with the Casimirs of the global subalgebras inside the four point function. These global blocks agree with the general SGC blocks in the limit of large central charge. We comment on possible applications to supersymmetric BMS${}_3$ invariant field theories and flat holography.

arXiv comment43 pages, v2: references added and typos fixed, v3: refs added, minor errors in the expression for the despotic blocks fixed. Matches published version

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Cited by in corpus (6)

• Geometric actions and flat space holography
• Perturbative classical conformal blocks as Steiner trees on the hyperbolic disk
• BMS Characters and Modular Invariance
• The Shadow Formalism of Galilean CFT${}_2$
• BMS Modular Diaries: Torus one-point function
• Supersymmetric Galilean conformal blocks