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Related papers: {\cal N}=2 SO(N) SYM theory from Matrix Model

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Using both the matrix model prescription and the strong-coupling approach, we describe the intersections of n=0 and n=1 non-degenerated branches for quartic (polynomial of adjoint matter) tree-level superpotential in N=1 supersymmetric…

High Energy Physics - Theory · Physics 2010-02-03 Changhyun Ahn , Yutaka Ookouchi

We study the superconformal index of 4d $\mathcal{N}=4$ $USp(2N_c)$ and $SO(N_c)$ SYM from a matrix model perspective. We focus on the Cardy-like limit of the index. Both in the symplectic and orthogonal case the index is dominated by a…

High Energy Physics - Theory · Physics 2021-05-21 Antonio Amariti , Marco Fazzi , Alessia Segati

The planar N=2* Super-Yang-Mills (SYM) theory is solved at large 't Hooft coupling using localization on S(4). The solution permits detailed investigation of the resonance phenomena responsible for quantum phase transitions in infinite…

High Energy Physics - Theory · Physics 2015-06-22 Xinyi Chen-Lin , James Gordon , Konstantin Zarembo

We examine rectangular W-algebras with $so(M)$ or $sp(2M)$ symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We compute the central charges of the algebras and the levels…

High Energy Physics - Theory · Physics 2020-01-08 Thomas Creutzig , Yasuaki Hikida , Takahiro Uetoko

In both ${\cal N}=1$ and ${\cal N}=2$ supersymmetry, it is known that $\mathsf{Sp}(2n, {\mathbb R})$ is the maximal duality group of $n$ vector multiplets coupled to chiral scalar multiplets $\tau (x,\theta) $ that parametrise the Hermitian…

High Energy Physics - Theory · Physics 2020-08-26 Sergei M. Kuzenko

A one-instanton level test is performed for the proposed reparameterisation scheme matching the conjectured exact low energy results and instanton predictions for N=2 supersymmetric SU(N) gauge theories with 2N massless fundamental matter…

High Energy Physics - Theory · Physics 2009-11-07 N. B. Pomeroy

In an earlier paper (hep-th/0101127), we developed heat kernel techniques in N = 2 harmonic superspace for the calculation of the low-energy effective action of N = 4 SYM theory, which can be considered as the most symmetric N = 2 SYM…

High Energy Physics - Theory · Physics 2009-11-07 S. M. Kuzenko , I. N. McArthur

In the context of Two Time Physics in 4+2 dimensions we construct the most general N=2,4 supersymmetric Yang Mills gauge theories for any gauge group G. This builds on our previous work for N=1 supersymmetry. The action, the conserved SUSY…

High Energy Physics - Theory · Physics 2009-01-16 Itzhak Bars , Yueh-Cheng Kuo

Recently, a two-matrix-model with a new type of interaction [1] has been introduced and analyzed using bi-orthogonal polynomial techniques. Here we present the complete 1/N^2 expansion for the formal version of this model, following the…

Mathematical Physics · Physics 2010-03-18 Marco Bertola , Aleix Prats Ferrer

We study gauge theories with N=1 supersymmetry in 2+1 dimensions. We start by calculating the 1-loop effective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter.…

High Energy Physics - Theory · Physics 2018-11-14 Changha Choi , Martin Rocek , Adar Sharon

We study an ${\cal N}=1$ supersymmetric Yang-Mills theory defined on $M^4\times S^1$. The vacuum expectation values for adjoint scalar field in vector multiplet, though important, has been overlooked in evaluating one-loop effective…

High Energy Physics - Theory · Physics 2009-11-10 Naoyuki Haba , Kazunori Takenaga , Toshifumi Yamashita

We explicitly construct a (unique) Spin(9)xSU(2) singlet state, phi, involving only the fermionic degrees of freedom of the supersymmetric matrix-model corresponding to reduced 10-dimensional super Yang-Mills theory, resp. supermembranes in…

High Energy Physics - Theory · Physics 2011-03-02 Jens Hoppe , Douglas Lundholm , Maciej Trzetrzelewski

We determine the gluino condensate $< \Tr \lambda^2 >$ in the pure ${\cal N}=1$ super Yang-Mills theory (SYM) for the classical gauge groups $SU(r+1)$, $SO(2r+1)$, $USp(2r)$ and $SO(2r)$, by deforming the pure ${\cal N}=2$ SYM theory with…

High Energy Physics - Theory · Physics 2009-11-10 K. Konishi , A. Ricco

We investigate an exactly marginal N=1 supersymmetric deformation of SU(N) N=4 supersymmetric Yang-Mills theory discovered by Leigh and Strassler. We use a matrix model to compute the exact superpotential for a further massive deformation…

High Energy Physics - Theory · Physics 2014-11-18 Nick Dorey , Timothy J. Hollowood , S. Prem Kumar

We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of ${\cal N}=2$ SQCD on $S^4$, to all orders in the 't Hooft coupling. In order to do so, we first obtain a combinatorial expression for the…

High Energy Physics - Theory · Physics 2021-09-01 Bartomeu Fiol , Alan Rios Fukelman

Correlation functions of matrix-valued fields are not generally known for massive renormalized field theories. We find the large-N limit of form factors of the (1+1)-dimensional sigma model with SU(N) X SU(N) symmetry. These form factors…

High Energy Physics - Theory · Physics 2013-05-29 Peter Orland

We present the basic $\mathcal{N} =1$ superconformal field theories in four-dimensional de Sitter space-time, namely the non-abelian super Yang-Mills theory and the chiral multiplet theory with gauge interactions or cubic superpotential.…

High Energy Physics - Theory · Physics 2015-06-19 Tarek Anous , Daniel Z. Freedman , Alexander Maloney

In N=2 superconformal field theories the Kahler potential is known to be tree level exact. The beta-deformation of N=4 SU(N) SYM reduces the amount of supersymmetry to N=1, allowing for non-trivial, superconformal loop corrections to the…

High Energy Physics - Theory · Physics 2014-11-18 Simon J. Tyler

The self-energy of the critical 3-dimensional O(N) model is calculated. The analysis is performed in the context of the Non-Perturbative Renormalization Group, by exploiting an approximation which takes into account contributions of an…

Statistical Mechanics · Physics 2008-11-26 Federico Benitez , Ramon Mendez Galain , Nicolas Wschebor

We study theories with SU(2|4) symmetry, which include the plane wave matrix model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum,…

High Energy Physics - Theory · Physics 2009-11-11 Goro Ishiki , Shinji Shimasaki , Yastoshi Takayama , Asato Tsuchiya