Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2022)151
Keywords
Brane Dynamics in Gauge Theories; Chern-Simons Theories; M-Theory; Supersymmetric Gauge Theory
Categories
Funding
- KIAS Individual Grant at Korea Institute for Advanced Study [PG081601]
- National Research Foundation of Korea [NRF-2021R1G1A1095318, NRF-2022R1C1C1011979]
- Creative-Pioneering Researchers Program through Seoul National University
- Samsung Science and Technology Foundation [SSTF-BA2002-05]
- National Research Foundation of Korea (NRF) - Korea government (MSIT) [2018R1D1A1B07042934]
- National Research Foundation of Korea [PG081601] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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The study focuses on the IR phases of 3D R class theories associated with closed non-hyperbolic 3-manifolds. By analyzing Dehn fillings and gauging symmetries, it is found that simple topological properties of non-hyperbolic 3-manifolds can capture distinguished features of the IR phases. Additionally, it is observed that certain classes of atoroidal non-hyperbolic 3-manifolds always exhibit supersymmetry enhancement at low energy, flowing to rank-0 N = 4 SCFTs with trivial vacuum moduli space.
We study the IR phases of 3D class R theories associated with closed non-hyperbolic 3-manifolds. Non-hyperbolic 3-manifolds can be obtained by performing Dehn fillings on 1-cusped hyperbolic 3-manifolds along exceptional slopes. In 3D-3D correspondence, the 'exceptional' Dehn filling corresponds to the gauging of an SU(2) flavor symmetry in a superconformal field theory associated with a 1-cusped 3-manifold with 'small' Chern-Simons levels. With several explicit examples, we analyze various interesting non-perturbative IR phenomena (such as spontaneous SUSY breaking, generation of mass gap and supersymmetry enhancement) from the 'exceptional' gaugings. Interestingly, distinguished features of the IR phases can be captured by simple topological properties of non-hyperbolic 3-manifolds. We also find that 3D class R theories associated with certain classes of atoroidal non-hyperbolic 3-manifolds always exhibit supersymmetry enhancement at low energy and actually flow to 3D rank-0 N = 4 SCFTs with trivial vacuum moduli space.
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