Citation

BibTex format

@article{Binder:2021:10.1007/jhep05(2021)083,
author = {Binder, DJ and Chester, SM and Jerdee, M and Pufu, SS},
doi = {10.1007/jhep05(2021)083},
journal = {Journal of High Energy Physics},
title = {The 3d $$ \mathcal(N) $$ = 6 bootstrap: from higher spins to strings to membranes},
url = {http://dx.doi.org/10.1007/jhep05(2021)083},
volume = {2021},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>A<jats:sc>bstract</jats:sc>                     </jats:title><jats:p>We study the space of 3d <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathcal{N} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">                  <mml:mi>N</mml:mi>                </mml:math></jats:alternatives></jats:inline-formula> = 6 SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathcal{N} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">                  <mml:mi>N</mml:mi>                </mml:math></jats:alternatives></jats:inline-formula> = 6 U(<jats:italic>N</jats:italic>)<jats:sub><jats:italic>k</jats:italic></jats:sub> × U(<jats:italic>N</jats:italic> + <jats:italic>M</jats:italic>)<jats:sub><jats:italic>−k</jats:italic></jats:sub> Chern-Simons-matter theories to determine two protected OPE coefficients for many values of <jats:italic>N, M, k</jats:italic>. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of <jats:italic>N, k</jats:italic> at <jats:italic>M</jats:italic> = 0, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small <jats:italic>k</jats:italic> and string theory duals at large <jats:italic>k</jats:italic>. We also present evidence that the localization results for
AU  - Binder,DJ
AU  - Chester,SM
AU  - Jerdee,M
AU  - Pufu,SS
DO  - 10.1007/jhep05(2021)083
PY  - 2021///
TI  - The 3d $$ \mathcal{N} $$ = 6 bootstrap: from higher spins to strings to membranes
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep05(2021)083
UR  - https://doi.org/10.1007/jhep05(2021)083
VL  - 2021
ER  -
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