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 and two possible 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 invariant field theories and flat holography.
Cite
@article{arxiv.1807.02031,
title = {Supersymmetric Galilean conformal blocks},
author = {Ivano Lodato and Wout Merbis and Zodinmawia},
journal= {arXiv preprint arXiv:1807.02031},
year = {2018}
}
Comments
43 pages, v2: references added and typos fixed, v3: refs added, minor errors in the expression for the despotic blocks fixed. Matches published version