Journal of High Energy Physics (Jun 2018)

A new duality between N $$ \mathcal{N} $$ = 8 superconformal field theories in three dimensions

  • Nathan B. Agmon,
  • Shai M. Chester,
  • Silviu S. Pufu

DOI
https://doi.org/10.1007/jhep06(2018)005
Journal volume & issue
Vol. 2018, no. 6
pp. 1 – 24

Abstract

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Abstract We propose a new duality between two 3d N $$ \mathcal{N} $$ = 8 superconformal Chern-Simons-matter theories: the U(3)1 × U(3)−1 ABJM theory and a theory consisting of the product between the (SU(2)3 × SU(2)− 3)/ℤ2 BLG theory and a free N $$ \mathcal{N} $$ = 8 theory of eight real scalars and eight Majorana fermions. As evidence supporting this duality, we show that the moduli spaces, superconformal indices, S 3 partition functions, and certain OPE coefficients of BPS operators in the two theories agree.

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