Report/Journal Article

PUBDB-2017-11762

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Long multiplet bootstrap

Cornagliotto, M.DESY* ; Lemos, M.DESY* ; Schomerus, V. (Corresponding author)DESY*

2017
Springer Berlin

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Please use a persistent id in citations: doi:10.1007/JHEP10(2017)119  doi:10.3204/PUBDB-2017-11762

Report No.: DESY-17-026; arXiv:1702.05101

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 $c \geqslant \tfrac{13}{24}$ for the central charge of such models. A theory that saturates this bound is not known yet.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. GATIS - Gauge Theory as an Integrable System (317089) (317089)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2017

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Database coverage:
; ; ; ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Cornagliotto, M. (Corresponding author)DESY* ; Lemos, M.DESY* ; Schomerus, V.DESY*
Long Multiplet Bootstrap
[10.3204/PUBDB-2017-01060]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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