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High Energy Physics - Theory

arXiv:1806.08353 (hep-th)
[Submitted on 21 Jun 2018 (v1), last revised 11 Mar 2019 (this version, v3)]

Title:Landscape of Simple Superconformal Field Theories in 4d

Authors:Kazunobu Maruyoshi, Emily Nardoni, Jaewon Song
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Abstract:We explore the space of renormalization group flows that originate from $\mathcal{N}=1$ supersymmetric $SU(2)$ gauge theory with one adjoint and a pair of fundamental chiral multiplets. By considering all possible relevant deformations - including coupling to gauge-singlet chiral multiplets - we find 34 fixed points in this simple setup. We observe that theories in this class exhibit many novel phenomena: emergent symmetry, decoupling of operators, and narrow distribution of central charges $a/c$. This set of theories includes two of the $\mathcal{N}=2$ minimal Argyres-Douglas theories and their mass deformed versions. In addition, we find 36 candidate fixed point theories possessing unphysical fermionic operators -including one with central charges $(a, c)\simeq (0.20, 0.22)$ that are smaller than any known superconformal theory -that need further investigation.
Comments: 5+5 pages, 2 figures, v3: minor changes including the abstract, version to appear in PRL
Subjects: High Energy Physics - Theory (hep-th)
Report number: KIAS-P18044
Cite as: arXiv:1806.08353 [hep-th]
  (or arXiv:1806.08353v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1806.08353
Journal reference: Phys. Rev. Lett. 122, 121601 (2019)
Related DOI: https://doi.org/10.1103/PhysRevLett.122.121601

Submission history

From: Jaewon Song [view email]
[v1] Thu, 21 Jun 2018 17:58:39 UTC (98 KB)
[v2] Mon, 26 Nov 2018 05:51:25 UTC (104 KB)
[v3] Mon, 11 Mar 2019 09:11:45 UTC (105 KB)
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