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We present a review of Witten index calculations in different supersymmetric gauge theories in four dimensions: supersymmetric electrodynamics, pure N=1 supersymmetric Yang-Mills theories and also SYM theories including matter multiplets --…

High Energy Physics - Theory · Physics 2024-06-11 A. V. Smilga

We construct several examples of (2+1) dimensional N=2 supersymmetric Chern-Simons theories, whose moduli space is given by non-compact toric Calabi-Yau four-folds, which are not derivable from any (3+1) dimensional CFT. One such example is…

High Energy Physics - Theory · Physics 2009-01-09 Sebastian Franco , Amihay Hanany , Jaemo Park , Diego Rodriguez-Gomez

We give a master formula for the spin-2 spectrum of a class of three-dimensional Chern-Simons theories at large $N$, with flavour group containing SU(3), that arise as infrared fixed points of the D2-brane worldvolume field theory and have…

High Energy Physics - Theory · Physics 2018-02-14 Yi Pang , Junchen Rong , Oscar Varela

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete…

High Energy Physics - Theory · Physics 2023-02-08 Noppadol Mekareeya , Matteo Sacchi

We study AdS$_{7}$/CFT$_{6}$ correspondence between M-theory on AdS$_{7} \times S^{4}$ and the 6D $\mathcal{N} = (2,0)$ superconformal field theory. In particular we focus on Wilson surfaces. We use the conjecture that the (2,0) theory…

High Energy Physics - Theory · Physics 2014-07-28 Hironori Mori , Satoshi Yamaguchi

We study globally supersymmetric 3d gauge theories on curved manifolds by describing the coupling of 3d topological gauge theories, with both Yang-Mills and Chern-Simons terms in the action, to background topological gravity. In our…

High Energy Physics - Theory · Physics 2015-10-16 Camillo Imbimbo , Dario Rosa

We review the duality and integrability of N=6 superconformal Chern-Simons theory in three dimensions and IIA superstring theory on the background AdS4xCP3. We introduce both of these models and describe how their degrees of freedom are…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Klose

We test several expected isomorphisms between the U(N)xU(N) ABJM theory and (SU(N)xSU(N))/Z_N theory including the BLG theory by comparing their superconformal indices. From moduli space analysis, it is expected that this equivalence can…

High Energy Physics - Theory · Physics 2015-06-11 Masazumi Honda , Yoshinori Honma

We propose a three dimensional non-supersymmetric theory that is conformal in the large N limit. In a certain well defined bosonic sub-sector of gauge invariant operators, this theory is planar equivalent to the theory recently proposed by…

High Energy Physics - Theory · Physics 2008-11-26 Adi Armoni , Asad Naqvi

We revisit the 3d ${\cal N}=5$ Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the…

High Energy Physics - Theory · Physics 2025-01-08 Oren Bergman , Francesco Mignosa

We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory…

High Energy Physics - Theory · Physics 2015-05-13 Anton Kapustin , Natalia Saulina

Three-dimensional conformal theories with six supersymmetries and SU(4) R-symmetry describing stacks of M2-branes are here proposed to be related to generalized Jordan triple systems. Writing the four-index structure constants in an…

High Energy Physics - Theory · Physics 2009-03-27 Bengt E. W. Nilsson , Jakob Palmkvist

We consider minimally supersymmetric Yang-Mills theory with a Chern-Simons term on a flat spatial two-torus. The Witten index may be computed in the weak coupling limit, where the ground state wave-functions localize on the moduli space of…

High Energy Physics - Theory · Physics 2015-06-11 Mans Henningson

We study non-relativistic limits of the N=6 Chern-Simons-Matter theory that arises as a low-energy limit of the M2-brane gauge theory with background flux. The model admits several different non-relativistic limits and we find that the…

High Energy Physics - Theory · Physics 2009-05-01 Yu Nakayama , Makoto Sakaguchi , Kentaroh Yoshida

M5-branes on an associative three-cycle $M_3$ in a $G_2$-holonomy manifold give rise to a 3d $\mathcal{N}=1$ supersymmetric gauge theory, $T_{\mathcal{N}=1} [M_3]$. We propose an $\mathcal{N}=1$ 3d-3d correspondence, based on two…

High Energy Physics - Theory · Physics 2018-11-02 Julius Eckhard , Sakura Schafer-Nameki , Jin-Mann Wong

We use the 5-sphere partition functions of supersymmetric Yang-Mills theories to explore the (2,0) superconformal theory on S^5 x S^1. The 5d theories can be regarded as Scherk-Schwarz reductions of the 6d theory along the circle. In a…

High Energy Physics - Theory · Physics 2015-06-05 Hee-Cheol Kim , Seok Kim

Large N quasi-fermionic Chern-Simons-matter theories have an approximate higher-spin symmetry that strongly constrains their correlation functions. In particular, the 3-point functions for generic spins are combinations of 3 structures…

High Energy Physics - Theory · Physics 2024-05-06 Ofer Aharony , Rohit R. Kalloor , Trivko Kukolj

We derive 4-dimensional N=4 U(N) supersymmetric Yang-Mills theory from a 3-dimensional Chern-Simons-matter theory with product gauge group U(N)^{2n}. The latter describes M2-branes probing an orbifold where a torus emerges in a scaling…

High Energy Physics - Theory · Physics 2009-04-17 Koji Hashimoto , Ta-Sheng Tai , Seiji Terashima

We discuss the N=2 superspace formulation of the N=8 superconformal Bagger-Lambert-Gustavsson theory, and of the N=6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N)xU(N) Chern-Simons theory. In particular, we prove the full SU(4)…

High Energy Physics - Theory · Physics 2009-12-10 Marcus Benna , Igor Klebanov , Thomas Klose , Mikael Smedbäck

We study 3d theories containing $\mathcal{N}=3$ Chern-Simons vector multiplets coupled to the $\mathrm{SU}(N)^3$ flavour symmetry of 3d $T_N$ theories with Chern-Simons level $k_1$, $k_2$ and $k_3$. It was formerly pointed out that these…

High Energy Physics - Theory · Physics 2023-11-07 Riccardo Comi , William Harding , Noppadol Mekareeya