TY - JOUR
T1 - Accidental symmetries and the conformal bootstrap
AU - Chester, Shai M.
AU - Giombi, Simone
AU - Iliesiu, Luca V.
AU - Klebanov, Igor R.
AU - Pufu, Silviu S.
AU - Yacoby, Ran
N1 - Funding Information:
We thank Matt Buican, Henriette Elvang, Simeon Hellerman, Daniel Jafferis, Ami Katz, David Simmons-Duffin, Edward Witten, and Kazuya Yonekura for useful discussions. This work was supported in part by the US NSF under Grant No. PHY-1418069 (SMC and SSP), PHY-1318681 (SG), and PHY-1314198 (IRK and RY). SSP thanks the Aspen Center for Physics for hospitality and partial support through NSF Grant No. PHY-1066293 during the completion of this work.
Publisher Copyright:
© The Authors.
PY - 2016/1
Y1 - 2016/1
N2 - We study an N = 2 supersymmetric generalization of the three-dimensional critical O(N) vector model that is described by N +1 chiral superfields with superpotential W = g1X ∑i Z2i + g2X3. By combining the tools of the conformal bootstrap with results obtained through supersymmetric localization, we argue that this model exhibits a symmetry enhancement at the infrared superconformal fixed point due to g2 flowing to zero. This example is special in that the existence of an infrared fixed point with g1, g2 ≠ 0, which does not exhibit symmetry enhancement, does not generally lead to any obvious unitarity violations or other inconsistencies. We do show, however, that the F -theorem excludes the models with g1, g2 ≠ 0 for N > 5. The conformal bootstrap provides a stronger constraint and excludes such models for N > 2. We provide evidence that the g2 = 0 models, which have the enhanced O(N) × U(1) symmetry, come close to saturating the bootstrap bounds. We extend our analysis to fractional dimensions where we can motivate the nonexistence of the g1, g2 ≠ 0 models by studying them perturbatively in the 4 − ɛ expansion.
AB - We study an N = 2 supersymmetric generalization of the three-dimensional critical O(N) vector model that is described by N +1 chiral superfields with superpotential W = g1X ∑i Z2i + g2X3. By combining the tools of the conformal bootstrap with results obtained through supersymmetric localization, we argue that this model exhibits a symmetry enhancement at the infrared superconformal fixed point due to g2 flowing to zero. This example is special in that the existence of an infrared fixed point with g1, g2 ≠ 0, which does not exhibit symmetry enhancement, does not generally lead to any obvious unitarity violations or other inconsistencies. We do show, however, that the F -theorem excludes the models with g1, g2 ≠ 0 for N > 5. The conformal bootstrap provides a stronger constraint and excludes such models for N > 2. We provide evidence that the g2 = 0 models, which have the enhanced O(N) × U(1) symmetry, come close to saturating the bootstrap bounds. We extend our analysis to fractional dimensions where we can motivate the nonexistence of the g1, g2 ≠ 0 models by studying them perturbatively in the 4 − ɛ expansion.
KW - Conformal and W symmetry
KW - Global symmetries
KW - Supersymmetry and duality
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U2 - 10.1007/JHEP01(2016)110
DO - 10.1007/JHEP01(2016)110
M3 - Article
AN - SCOPUS:85008471365
SN - 1126-6708
VL - 2016
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 110
ER -