Large N Chern-Simons-matter fixed points with multiple flavors
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912571526742016 |
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| author | Aharony, Ofer Frumkin, Ronny Mehl, Jonathan |
| author_facet | Aharony, Ofer Frumkin, Ronny Mehl, Jonathan |
| contents | In this paper we analyze the $2+1$d conformal fixed points arising from $SU(N_c)$ Chern-Simons-matter theories with multiple flavors $N_f > 1$ in the 't Hooft large $N_c$ limit. The multi-flavor generalization of quasi-fermionic theories (fermions or critical scalars coupled to Chern-Simons gauge fields) is straightforward, but this is not true for quasi-bosonic theories (scalars or critical fermions coupled to Chern-Simons gauge fields). The latter theories have three flavor-singlet relevant operators and also three marginal operators, that become exactly marginal for infinite $N_c$, but have a non-zero beta function at order $1/N_c$. We compute the beta functions of these couplings in various weak coupling limits, and discuss also their general structure, generalizing previous computations for $N_f=1$. We find that IR-stable fixed points of the marginal couplings exist for some values of $N_f$ and of the 't Hooft coupling $λ$, but not for other values, and in one case we can explicitly follow how two pairs of fixed points merge and disappear as $λ$ is increased. We also analyze the ``Semi-Critical'' conformal field theories that arise when fine-tuning two (rather than three) relevant operators, and compute the beta function for their (single) marginal coupling constant. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_04565 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large N Chern-Simons-matter fixed points with multiple flavors Aharony, Ofer Frumkin, Ronny Mehl, Jonathan High Energy Physics - Theory In this paper we analyze the $2+1$d conformal fixed points arising from $SU(N_c)$ Chern-Simons-matter theories with multiple flavors $N_f > 1$ in the 't Hooft large $N_c$ limit. The multi-flavor generalization of quasi-fermionic theories (fermions or critical scalars coupled to Chern-Simons gauge fields) is straightforward, but this is not true for quasi-bosonic theories (scalars or critical fermions coupled to Chern-Simons gauge fields). The latter theories have three flavor-singlet relevant operators and also three marginal operators, that become exactly marginal for infinite $N_c$, but have a non-zero beta function at order $1/N_c$. We compute the beta functions of these couplings in various weak coupling limits, and discuss also their general structure, generalizing previous computations for $N_f=1$. We find that IR-stable fixed points of the marginal couplings exist for some values of $N_f$ and of the 't Hooft coupling $λ$, but not for other values, and in one case we can explicitly follow how two pairs of fixed points merge and disappear as $λ$ is increased. We also analyze the ``Semi-Critical'' conformal field theories that arise when fine-tuning two (rather than three) relevant operators, and compute the beta function for their (single) marginal coupling constant. |
| title | Large N Chern-Simons-matter fixed points with multiple flavors |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.04565 |