Citation

BibTex format

@article{Agmon:2018:10.1007/jhep06(2018)159,
author = {Agmon, NB and Chester, SM and Pufu, SS},
doi = {10.1007/jhep06(2018)159},
journal = {Journal of High Energy Physics},
title = {Solving M-theory with the conformal bootstrap},
url = {http://dx.doi.org/10.1007/jhep06(2018)159},
volume = {2018},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>A<jats:sc>bstract</jats:sc>          </jats:title>          <jats:p>We use the conformal bootstrap to perform a precision study of 3d maximally supersymmetric (<jats:inline-formula>              <jats:alternatives>                <jats:tex-math>$$ \mathcal{N}=8 $$</jats:tex-math>                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">                  <mml:mi>N</mml:mi>                  <mml:mo>=</mml:mo>                  <mml:mn>8</mml:mn>                </mml:math>              </jats:alternatives>            </jats:inline-formula>) SCFTs that describe the IR physics on <jats:italic>N</jats:italic> coincident M2-branes placed either in flat space or at a <jats:sup>4</jats:sup>            <jats:italic>/</jats:italic><jats:sub>2</jats:sub> singularity. First, using the explicit Lagrangians of ABJ(M) [1, 2] and recent supersymmetric localization results, we calculate certain half and quarter-BPS OPE coefficients, both exactly at small <jats:italic>N</jats:italic>, and approximately in a large <jats:italic>N</jats:italic> expansion that we perform to all orders in 1<jats:italic>/N</jats:italic>. Comparing these values with the numerical bootstrap bounds leads us to conjecture that some of these theories obey an OPE coefficient minimization principle. We then use this conjecture as well as the extremal functional method to reconstruct the first few low-lying scaling dimensions and OPE coefficients for both protected and unprotected multiplets that appear in the OPE of two stress tensor multiplets for all values of <jats:italic>N</jats:italic>. We also calculate the half and quarter-BPS operator OPE coefficients in the SU(2)<jats:sub>              <jats:italic>k</jats:italic>            </jats:sub> &
AU  - Agmon,NB
AU  - Chester,SM
AU  - Pufu,SS
DO  - 10.1007/jhep06(2018)159
PY  - 2018///
TI  - Solving M-theory with the conformal bootstrap
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep06(2018)159
UR  - https://doi.org/10.1007/jhep06(2018)159
VL  - 2018
ER  -
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