Citation

BibTex format

@article{Chester:2020:10.1007/jhep11(2020)016,
author = {Chester, SM and Green, MB and Pufu, SS and Wang, Y and Wen, C},
doi = {10.1007/jhep11(2020)016},
journal = {Journal of High Energy Physics},
title = {Modular invariance in superstring theory from $$ \mathcal(N) $$ = 4 super-Yang-Mills},
url = {http://dx.doi.org/10.1007/jhep11(2020)016},
volume = {2020},
year = {2020}
}
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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 four-point function of the lowest-lying half-BPS operators in 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> = 4 SU(<jats:italic>N</jats:italic>) super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-<jats:italic>N</jats:italic> expansion in which the complexified Yang-Mills coupling <jats:italic>τ</jats:italic> is fixed. In this expansion, non-perturbative instanton contributions are present, and the SL(2<jats:italic>,</jats:italic> ) duality invariance of correlation functions is manifest. Our results are based on a detailed analysis of the sphere partition function of the mass-deformed SYM theory, which was previously computed using supersymmetric localization. This partition function determines a certain integrated correlator in the undeformed <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> = 4 SYM theory, which in turn constrains the four-point correlator at separated points. In a normalization where the two-point functions are proportional to <jats:italic>N</jats:italic><jats:sup>2</jats:sup><jats:italic>−</jats:italic> 1 and are independent of <jats:italic>τ</jats:italic> and <jats:inline-formula><jat
AU  - Chester,SM
AU  - Green,MB
AU  - Pufu,SS
AU  - Wang,Y
AU  - Wen,C
DO  - 10.1007/jhep11(2020)016
PY  - 2020///
TI  - Modular invariance in superstring theory from $$ \mathcal{N} $$ = 4 super-Yang-Mills
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep11(2020)016
UR  - https://doi.org/10.1007/jhep11(2020)016
VL  - 2020
ER  -
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