2d small N=4 Long-multiplet superconformal block View Full Text


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Article Info

DATE

2019-02

AUTHORS

Filip Kos, Jihwan Oh

ABSTRACT

We study 2d N=4 superconformal field theories, focusing on its application on numerical bootstrap study. We derive the superconformal block by utilizing the global part of the super Virasoro algebra and set up the crossing equations for the non-BPS long-multiplet 4-point function. Along the way, we build global N=4 superconformal short and long multiplets and compute all possible 2,3-point functions of long-multiplets that are needed to construct the superconformal blocks and the crossing equations. Since we consider a long-multiplet 4-point function, the number of crossing equations is huge, and we expect it to give a strong constraint than the usual superconformal bootstrap analysis, which relies on BPS 4-point functions. In addition, we present an alternative way to derive crossing equations using N=4 superspace and comment on a puzzle. More... »

PAGES

1

References to SciGraph publications

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  • 2015-08. Bootstrapping SCFTs with four supercharges in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-03. The N=2 superconformal bootstrap in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2017-08. More on supersymmetric and 2d analogs of the SYK model in JOURNAL OF HIGH ENERGY PHYSICS
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