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We report preliminary results on the recently proposed F-maximization principle in 3D SCFTs. We compute numerically in the large-N limit the free energy on the three-sphere of an N=2 Chern-Simons-Matter theory with a single adjoint chiral…

High Energy Physics - Theory · Physics 2011-09-21 Vasilis Niarchos

We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI…

High Energy Physics - Theory · Physics 2021-01-13 Anton Kapustin , Brian Willett , Itamar Yaakov

We study Seiberg-like dualities in three dimensional N=2 supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the…

High Energy Physics - Theory · Physics 2012-08-15 Francesco Benini , Cyril Closset , Stefano Cremonesi

We consider three-dimensional N=2 superconformal field theories on a three-sphere and analyze their free energy F as a function of background gauge and supergravity fields. A crucial role is played by certain local terms in these background…

High Energy Physics - Theory · Physics 2015-06-05 Cyril Closset , Thomas T. Dumitrescu , Guido Festuccia , Zohar Komargodski , Nathan Seiberg

We use localization techniques to study duality in N = 2 supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and symplectic gauge groups, which is similar to Seiberg…

High Energy Physics - Theory · Physics 2021-01-13 Brian Willett , Itamar Yaakov

The three dimensional exact R symmetry of N=2 SCFTs extremizes the partition function localized on a three sphere. Here we verify this statement at weak coupling. We give a detailed analysis for two classes of models. The first one is an…

High Energy Physics - Theory · Physics 2015-05-28 Antonio Amariti , Massimo Siani

We consider N = 3 supersymmetric Chern-Simons gauge theories with product unitary and orthosymplectic groups and bifundamental and fundamental fields. We study the partition functions on an S^3 by using the Kapustin-Willett-Yaakov matrix…

High Energy Physics - Theory · Physics 2015-06-04 Daniel R. Gulotta , Christopher P. Herzog , Tatsuma Nishioka

We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups…

High Energy Physics - Theory · Physics 2011-04-05 Anton Kapustin

We study dualities for ${\cal N}=2$ 3d Chern-Simons matter theories with gauge groups U/Sp/O, matter in the two-index tensor representations (adjoint/symmetric/antisymmetric) in addition to the fundamental representation, and a…

High Energy Physics - Theory · Physics 2015-05-30 Anton Kapustin , Hyungchul Kim , Jaemo Park

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…

High Energy Physics - Theory · Physics 2022-05-11 Naotaka Kubo , Keita Nii

We explore the dynamics of three-dimensional Chern-Simons gauge theories with N=2 supersymmetry and matter in the fundamental and adjoint representations of the gauge group. Realizing the gauge theories of interest in a setup of threebranes…

High Energy Physics - Theory · Physics 2014-11-18 Vasilis Niarchos

We introduce a class of 3d theories consisting of strongly-coupled ${\mathcal N}=4$ systems coupled to ${\mathcal N}=3$ Chern-Simons gauge multiplets, which exhibit ${\mathcal N}=4$ enhancements when a peculiar condition on the Chern-Simons…

High Energy Physics - Theory · Physics 2023-04-12 Benjamin Assel , Yuji Tachikawa , Alessandro Tomasiello

We study three dimensional $\mathcal{N}=2$ supersymmetric Chern-Simons-Matter theories on the direct product of a circle and a two dimensional hemisphere ($S^1 \times D^2$) with specified boundary conditions by the method of localization.…

High Energy Physics - Theory · Physics 2021-01-08 Yutaka Yoshida , Katsuyuki Sugiyama

The maximal extension of supersymmetric Chern-Simons theory coupled to fundamental matter has $\mathcal{N} = 3$ supersymmetry. In this short note, we provide the explicit form of the action for the mass-deformed $\mathcal{N} = 3$…

High Energy Physics - Theory · Physics 2019-10-18 Karthik Inbasekar , Lavneet Janagal , Ashish Shukla

We compute the large N limit of the localized three dimensional free energy of various field theories with known proposed AdS duals. We show that vector-like theories agree with the expected supergravity results, and with the conjectured…

High Energy Physics - Theory · Physics 2015-06-03 Antonio Amariti , Claudius Klare , Massimo Siani

We study the most general renormalizable ${\cal N}=1$ $U(N)$ Chern-Simons gauge theory coupled to a single (generically massive) fundamental matter multiplet. At leading order in the 't Hooft large $N$ limit we present computations and…

High Energy Physics - Theory · Physics 2015-10-29 Karthik Inbasekar , Sachin Jain , Subhajit Mazumdar , Shiraz Minwalla , V. Umesh , Shuichi Yokoyama

We give a pedagogical introduction to the study of supersymmetric partition functions of 3D $\mathcal{N}{=}2$ supersymmetric Chern-Simons-matter theories (with an $R$-symmetry) on half-BPS closed three-manifolds---including $S^3$, $S^2…

High Energy Physics - Theory · Physics 2019-09-04 Cyril Closset , Heeyeon Kim

Three dimensional bosonization is a conjectured duality between non-supersymmetric Chern-Simons theories coupled to matter fields in the fundamental representation of the gauge group. There is a well-established supersymmetric version of…

High Energy Physics - Theory · Physics 2015-08-11 Guy Gur-Ari , Ran Yacoby

We clarify how mirror symmetry acts on 3d theories with N=2,3 or 4 supersymmetries and non-abelian Chern-Simons terms and then construct many new examples. We identify a new duality, geometric duality, that allows us to generate large…

High Energy Physics - Theory · Physics 2009-09-28 Kristan Jensen , Andreas Karch

Some of supersymmetric Chern-Simons theories are known to exhibit supersymmetry breaking when the Chern-Simons level is less than a certain number. The mechanism of the supersymmetry breaking is, however, not clear from the field theory…

High Energy Physics - Theory · Physics 2015-06-04 Takao Suyama
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