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Article overview
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Long Multiplet Bootstrap | Martina Cornagliotto
; Madalena Lemos
; Volker Schomerus
; | Date: |
16 Feb 2017 | Abstract: | Applications of the bootstrap program to superconformal field theories
promise unique new insights into their landscape and could even lead to the
discovery of new models. Most existing results of the superconformal bootstrap
were obtained form correlation functions of very special fields in short (BPS)
representations of the superconformal algebra. Our main goal is to initiate a
superconformal bootstrap for long multiplets, one that exploits all constraints
from superprimaries and their descendants. To this end, we work out the Casimir
equations for four-point correlators of long multiplets of the two-dimensional
global $mathcal{N}=2$ superconformal algebra. After constructing the full set
of conformal blocks we discuss two different applications. The first one
concerns two-dimensional (2,0) theories. The numerical bootstrap analysis we
perform serves a twofold purpose, as a feasibility study of our long multiplet
bootstrap and also as an exploration of (2,0) theories. A second line of
applications is directed towards four-dimensional $mathcal{N}=3$ SCFTs. In
this context, our results imply a new bound $c geqslant frac{13}{24}$ for
the central charge of such models. A theory that saturates this bound is not
known yet. | Source: | arXiv, 1702.5101 | Services: | Forum | Review | PDF | Favorites |
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