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• W3215523988 abstract "We generalize the Giveon-Kutasov duality for the 3d $mathcal{N}=3$ $U(N)_{k,k+nN}$ Chern-Simons matter gauge theory with $F$ fundamental hypermultiplets by introducing $SU(N)$ and $U(1)$ Chern-Simons levels differently. We study the supersymmetric partition functions and the superconformal indices of the duality, which supports the validity of the duality proposal. From the duality, we can map out the low-energy phases: For example, confinement appears for $F+k-N=-n=1$ or $N=2F=k=-n=2$. For $F+k-N<0$, supersymmetry is spontaneously broken, which is in accord with the fact that the partition function vanishes. In some cases, the theory shows supersymmetry enhancement to 3d $mathcal{N}=4$. For $k=0$, we comment on the magnetic description dual to the so-called ugly theory, where the usual decoupled sector is still interacting with others for $n neq 0$. We argue that the $SU(N)_0$ ugly-good duality (which corresponds to the $n rightarrow infty$ limit in our setup) is closely related to the S-duality of the 4d $mathcal{N}=2$ $SU(N)$ superconformal gauge theory with $2N$ fundamental hypermultiplets. By reducing the number of flavors via real masses, we suggest possible ways to flow to the bad theories." @default.
• W3215523988 created "2021-12-06" @default.
• W3215523988 creator A5047639931 @default.
• W3215523988 creator A5075259078 @default.
• W3215523988 date "2022-04-26" @default.
• W3215523988 modified "2023-09-25" @default.
• W3215523988 title "3d $$ mathcal{N} $$ = 3 generalized Giveon-Kutasov duality" @default.
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• W3215523988 doi "https://doi.org/10.1007/jhep04(2022)158" @default.
• W3215523988 hasPublicationYear "2022" @default.
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