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Here we demonstrate that the sixth order (in derivatives) spin-3 self-dual model can be obtained from the fifth order self-dual model via a Noether Gauge Embedding (NGE) of longitudinal Weyl transformations…

高能物理 - 理论 · 物理学 2019-05-27 D. Dalmazi , E. L. Mendonça , A. L. R. dos Santos

There are three self-dual models of massive particles of helicity +2 (or -2) in $D=2+1$. Each model is of first, second, and third-order in derivatives. Here we derive a new self-dual model of fourth-order, $\cL {SD}^{(4)}$, which follows…

高能物理 - 理论 · 物理学 2009-10-16 D. Dalmazi , E. L. Mendonca

We present here a relationship among massive self-dual models for spin-3 particles in $D=2+1$ via the master action procedure. Starting with a first order model (in derivatives) $S_{SD(1)}$ we have constructed a master action which…

高能物理 - 理论 · 物理学 2016-05-04 E. L. Mendonça , D. Dalmazi

Starting with a first order in derivatives self-dual model which describes a massive spin-4 mode in $D=2+1$ dimensions, we have obtained a sequence of three more new descriptions, which then give us an interconnected self-dual chain $SD(i)$…

高能物理 - 理论 · 物理学 2022-01-19 Elias L. Mendonça , H. L. Oliveira

Here we perform a Kaluza-Klein dimensional reduction of Vasiliev's first-order description of massless spin-s particles from $D=3+1$ to $D=2+1$ and derive first-order self-dual models describing particles with helicities $\pm s$ for the…

高能物理 - 理论 · 物理学 2021-11-17 D. Dalmazi

In $D=2+1$ dimensions, elementary particles of a given helicity can be described by local Lagrangians (parity singlets). By means of a "soldering" procedure two opposite helicities can be joined together and give rise to massive spin-$s$…

高能物理 - 理论 · 物理学 2018-11-14 D. Dalmazi , A. L. R. dos Santos , R. R. Lino dos Santos

We study low-energy aspects of 3d $\mathcal{N}=2$ $Spin(N)$ gauge theories with matters in vector and (conjugate) spinor representations. Extending the construction of the 4d $\mathcal{N}=1$ $Spin(N)$ Seiberg duality, we find 3d magnetic…

高能物理 - 理论 · 物理学 2020-05-12 Keita Nii

In this work we provide a triple master action interpolating among three self-dual descriptions of massive spin-3/2 particles in $D=2+1$ dimensions. Such result generalizes a master action previously suggested in the literature. We also…

高能物理 - 理论 · 物理学 2020-03-09 E. L. Mendonça , H. L. de Oliveira , P. H. F. Nogueira

In the first part of this work we show the decoupling (up to contact terms) of redundant degrees of freedom which appear in the covariant description of spin two massive particles in $D=2+1$. We make use of a master action which…

高能物理 - 理论 · 物理学 2009-03-12 D. Dalmazi , Elias L. Mendonca

The fourth order in derivatives New Massive Gravity model NMG, describes a massive spin-2 particle in $D=2+1$. At the linearized level a proof of unitarity necessarily implies that the generalization to higher dimensions includes…

高能物理 - 理论 · 物理学 2020-02-19 E. L. Mendonça , R. Schimidt Bittencourt

The present work introduces a master action that interpolates between four self-dual models, $SD(i)$, for describing massive spin-4 particles in $D=2+1$ dimensions. These models are designated by $i=1,2,3$ and $4$, representing the order in…

高能物理 - 理论 · 物理学 2024-05-27 Elias L. Mendonça , R. Schimidt Bittencourt

We suggest a new spin-4 self-dual model (parity singlet) and a new spin-4 parity doublet in $D=2+1$. They are of higher order in derivatives and are described by a totally symmetric rank-4 tensor without extra auxiliary fields. Despite the…

高能物理 - 理论 · 物理学 2021-11-10 D. Dalmazi , A. L. R. dos Santos

Using Noether's procedure we directly construct a complete cubic selfinteraction for the case of spin s=4 in a flat background and discuss the cubic selfinteraction for general spin s with s derivatives in the same background. The leading…

高能物理 - 理论 · 物理学 2015-05-18 Ruben Manvelyan , Karapet Mkrtchyan , Werner Ruehl

Here we present the `soldering' of opposite helicity states of a spin-3 particle, in $D=2+1$, into one parity doublet. The starting points may be either the sixth- or the fifth-order (in derivatives) spin-3 self-dual models of opposite…

高能物理 - 理论 · 物理学 2019-09-25 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça , R. Schimidt Bittencourt

Four-dimensional N=1 supersymmetric Spin(N) gauge theories with matter in the vector and spinor representations are considered. Dual descriptions are known for some of these theories. It is noted that when masses are given to all fields in…

高能物理 - 理论 · 物理学 2010-02-03 Matthew J. Strassler

For non-simple laced Lie algebras, the $\text{B}_{N}$ and $\text{C}_{N}$ are Langlands dual to each other in mathematical. In this article, we give another Bethe/Gauge correspondence between 3d (or 2d) classical Lie group supersymmetry…

数学物理 · 物理学 2023-12-21 Xiang-Mao Ding , Ting Zhang

Improving the beginning steps of a previous work, we settle the dual embedding method (DEM) as an alternative and efficient method for obtaining dual equivalent actions also in D=3. We show that we can obtain dual equivalent actions which…

高能物理 - 理论 · 物理学 2008-11-26 E. M. C. Abreu , A. C. R. Mendes , C. Neves , W. Oliveira , F. I. Takakura , L. M. V. Xavier

We present a large set of new self-dual N=1 SUSY gauge theories. Examples include SU(N) theories with tensors and SO(N) theories with spinors. Using these dualities as starting points, new non-trivial duals can be derived by higgsing the…

高能物理 - 理论 · 物理学 2009-09-17 Csaba Csaki , Martin Schmaltz , Witold Skiba , John Terning

We consider $3d$ $\mathcal{N}\!=\!2$ gauge theories with fundamental matter plus a single field in a rank-$2$ representation. Using iteratively a process of "deconfinement" of the rank-$2$ field, we produce a sequence of Seiberg-dual quiver…

高能物理 - 理论 · 物理学 2024-07-12 Sergio Benvenuti , Ivan Garozzo , Gabriele Lo Monaco

Mirror Symmetry for a large class of three dimensional $\mathcal{N}=4$ supersymmetric gauge theories has a natural explanation in terms of M-theory compactified on a product of $\text{ALE}$ spaces. A pair of such mirror duals can be…

高能物理 - 理论 · 物理学 2015-05-30 Anindya Dey
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