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We define a 3-algebra with structure constants being symmetric in the first two indices. We also introduce an invariant anti-symmetric tensor into this 3-algebra and call it a symplectic 3-algebra. The general N=5 superconformal…

High Energy Physics - Theory · Physics 2010-08-19 Fa-Min Chen

We combine supersymmetric localization results and the numerical conformal bootstrap technique to study the 3d maximally supersymmetric (${\cal N} = 8$) CFT on $N$ coincident M2-branes (the $U(N)_k \times U(N)_{-k}$ ABJM theory at…

High Energy Physics - Theory · Physics 2020-03-18 Nathan B. Agmon , Shai M. Chester , Silviu S. Pufu

Global supersymmetries of the S-matrices of N = 2, 4, 8 supersymmetric Yang-Mills theories in three spacetime dimensions (without matter hypermultiplets) are shown to be SU(1|1), SU(2|2) and SU(2|2) X SU(2|2) respectively. These symmetries…

High Energy Physics - Theory · Physics 2013-05-21 Abhishek Agarwal , Donovan Young

We investigate supersymmetry in one-dimensional quantum mechanics with point interactions. We clarify a class of point interactions compatible with supersymmetry and present N=2 supersymmetric models on a circle with two point interactions…

High Energy Physics - Theory · Physics 2014-11-18 Tomoaki Nagasawa , Makoto Sakamoto , Kazunori Takenaga

Supersymmetry is one of the possible scenarios for physics beyond the standard model. The building blocks of this scenario are supersymmetric gauge theories. In our work we study the $\mathcal{N}=1$ Super-Yang-Mills (SYM) theory with gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Daniel August , Björn Wellegehausen , Andreas Wipf

We construct the component action and supersymmetry transformations of the $\mathcal{N} = 3$ Chern-Simons-Yang-Mills theory that flows in the infra red to the $\mathcal{N} = 3$ super conformal quiver Chern-Simons gauge theory obtained by…

High Energy Physics - Theory · Physics 2019-07-31 Bobby Ezhuthachan , Chethan N. Gowdigere , Moumita Patra

Recently, the existence of a candidate a-function for renormalisable theories in three dimensions was demonstrated for a general theory at leading order and for a scalar-fermion theory at next-to-leading order. Here we extend this work by…

High Energy Physics - Theory · Physics 2017-01-11 J. A. Gracey , I. Jack , C. Poole , Y. Schroder

We consider the superspace of D=3, N=5 supersymmetry using SO(5)/U(2) harmonic coordinates. Three analytic N=5 gauge superfields depend on three vector and six harmonic bosonic coordinates and also on six Grassmann coordinates.…

High Energy Physics - Theory · Physics 2008-12-25 B. M. Zupnik

A recently proposed addition to the holographic dictionary connects extremal black holes to fortuitous operators -- those which are only supersymmetric for sufficiently small values of the central charge. The most efficient techniques for…

High Energy Physics - Theory · Physics 2026-05-19 Connor Behan , Leonardo Pipolo de Gioia

We provide a systematic way of dimensional reduction for $(4+2n)$-dimensional $U(N)$ supersymmetric Yang-Mills (SYM) theories ($n=0,1,2,3$) and their mixtures compactified on two-dimensional tori with background magnetic fluxes, which…

High Energy Physics - Theory · Physics 2015-12-09 Hiroyuki Abe , Tomoharu Horie , Keigo Sumita

We consider interesting Seiberg dualities for $Usp$ gauge theories with an antisymmetric, $8$ fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses,…

High Energy Physics - Theory · Physics 2019-05-01 Sergio Benvenuti

Compactified Yang-Mills theories with one universal extra dimension were found [arXiv:1008.4638] to exhibit two types of gauge invariances: the standard gauge transformations (SGTs) and the nonstandard gauge transformations (NSGTs). In the…

High Energy Physics - Phenomenology · Physics 2013-11-01 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

In this review paper, we outline and exemplify the general method of constructing the supefield low-energy quantum effective action of supersymmetric Yang-Mills (SYM) theories with extended supersymmetry in the Coulomb phase, grounded upon…

High Energy Physics - Theory · Physics 2021-05-17 I. L. Buchbinder , E. A. Ivanov

We perform Monte Carlo study of the 3d N=6 superconformal U(N)*U(N) Chern-Simons gauge theory (ABJM theory), which is conjectured to be dual to M-theory or type IIA superstring theory on certain AdS backgrounds. Our approach is based on a…

High Energy Physics - Lattice · Physics 2012-11-30 Masazumi Honda , Masanori Hanada , Yoshinori Honma , Jun Nishimura , Shotaro Shiba , Yutaka Yoshida

We study phase structure of mass-deformed ABJM theory which is a three dimensional $\mathcal{N}=6$ superconformal theory deformed by mass parameters and has the gauge group $\text{U}(N)\times \text{U}(N)$ with Chern-Simons levels $(k,-k)$…

High Energy Physics - Theory · Physics 2019-05-01 Masazumi Honda , Tomoki Nosaka , Kazuma Shimizu , Seiji Terashima

The study of exactly marginal deformations of superconformal field theories is a topic that has received considerable attention due to their rich properties. We investigate the $\mathcal{N}=2$ preserving exactly marginal operators of 3d…

High Energy Physics - Theory · Physics 2020-12-30 Emanuele Beratto , Noppadol Mekareeya , Matteo Sacchi

In this paper we investigate the large-$N$ behavior of 5-dimensional $\mathcal{N}=1$ super Yang-Mills with a level $k$ Chern-Simons term and an adjoint hypermultiplet. As in three-dimensional Chern-Simons theories, one must choose an…

High Energy Physics - Theory · Physics 2015-02-26 Joseph A. Minahan , Anton Nedelin

We show that the ABJM theory, which is an N=6 superconformal U(N)*U(N) Chern-Simons gauge theory, can be studied for arbitrary N at arbitrary coupling constant by applying a simple Monte Carlo method to the matrix model that can be derived…

High Energy Physics - Theory · Physics 2015-06-04 Masanori Hanada , Masazumi Honda , Yoshinori Honma , Jun Nishimura , Shotaro Shiba , Yutaka Yoshida

In this paper we analyse super-Chern-Simons theory in $\mathcal{N} =1$ superspace formalism, in the presence of a boundary. We modify the Lagrangian for the Chern-Simons theory in such a way that it is supersymmetric even in the presence of…

High Energy Physics - Theory · Physics 2015-06-03 Mir Faizal , Douglas J. Smith

We investigate the hypersymmetry bounds on the higher spin black hole parameters that follow from the asymptotic symmetry superalgebra in higher-spin anti-de Sitter gravity in three spacetime dimensions. We consider anti-de Sitter…

High Energy Physics - Theory · Physics 2015-09-02 Marc Henneaux , Alfredo Perez , David Tempo , Ricardo Troncoso
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