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An effective lagrangian analysis of gaugino condensation is performed in a supersymmetric gauge theory with field-dependent gauge couplings described with a linear multiplet. An original aspect of this effective lagrangian is the use of a…

High Energy Physics - Theory · Physics 2007-05-23 Jean-Pierre Derendinger

We derive the couplings of the 3-form supermultiplet to the general supergravity-matter-Yang-Mills system. Based on the methods of superspace geometry, we identify component fields, establish their supergravity transformations and construct…

High Energy Physics - Theory · Physics 2009-10-30 P. Binétruy , F. Pillon , G. Girardi , R. Grimm

Some general features of locally supersymmetric theories (N=1 in four dimensions) involving Chern-Simons forms and antisymmetric tensors are sketched out. The relevance of the three-form multiplet both for the description of Chern-Simons…

High Energy Physics - Theory · Physics 2007-05-23 R. Grimm

We extend the linearised solution of Polchinski and Strassler describing the supergravity dual of the N=1* gauge theory. By analysing the equations of motion of type IIB supergravity at cubic order in the mass perturbation parameter, we…

High Energy Physics - Theory · Physics 2009-10-07 G. L. Cardoso , G. Curio , G. Dall'Agata , D. Lust

We show how to formulate the phenomenon of gaugino condensation in a super-Yang-Mills theory with a field-dependent gauge coupling described with a linear multiplet. We prove the duality equivalence of this approach with the more familiar…

High Energy Physics - Theory · Physics 2016-09-06 C. P. Burgess , J. -P. Derendinger , F. Quevedo , M. Quiros

The superspace geometry of Chern-Simons forms is shown to be closely related to that of the 3-form multiplet. This observation allows to simplify considerably the geometric structure of supersymmetric Chern-Simons forms and their coupling…

High Energy Physics - Theory · Physics 2009-10-31 Georges Girardi , Richard Grimm

We study supersymmetry breaking in theories with non-minimal multiplets (such as the complex linear or CNM multiplets), by using superspace higher derivative terms which give rise to new supersymmetry breaking vacuum solutions on top of the…

High Energy Physics - Theory · Physics 2015-10-28 Fotis Farakos , Ondřej Hulík , Pavel Kočí , Rikard von Unge

We present an N=2 multiplet including a three-index antisymmetric tensor gauge potential, and describe it as a solution to the Bianchi identities for the associated fieldstrength superform, subject to some covariant constraints, in extended…

High Energy Physics - Theory · Physics 2011-09-13 Maximilian F. Hasler

We investigate cubic interactions between a chiral superfield and higher spin superfield corresponding to irreducible representations of the $4D,\, \mathcal{N}=1$ super-Poincar\'{e} algebra. We do this by demanding an invariance under the…

High Energy Physics - Theory · Physics 2017-12-29 I. L. Buchbinder , S. James Gates , Konstantinos Koutrolikos

In a classical conformal invariant supersymmetric gauge theory, the chiral R-symmetry current, the supersymmetry current and the energy-momentum tensor constitute a supercurrent multiplet. There are two different superconformal anoamly…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Chen

Supersymmetry is studied in 2+1 dimensions. In addition to the multiplets corresponding to those in 3+1 dimensions the Clifford algebra allows an extra set. When the extra chiral multiplet is included, formulating supersymmetric QED3 in the…

High Energy Physics - Theory · Physics 2008-02-03 M. L. Walker , C. J. Burden

We describe a new 1+1 dimensional N=(2,2) vector multiplet that naturally couples to semi chiral superfields in the sense that the gauged supercovariant derivative algebra is only consistent with imposing covariantly semi chiral superfield…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Willie Merrell

The gaugino mass relations $m_3/{g_3^2} = m_2/{g_2^2} = m_1/{g_1^2}$ are considered to be robust signals for supersymmetric grand unification. In this letter, we point out that these relations may be significantly modified in an interesting…

High Energy Physics - Phenomenology · Physics 2009-10-28 Nima Arkani-Hamed , Hsin-Chia Cheng , Takeo Moroi

By including an additional self-dual three-form we construct a Lorentz invariant lagrangian for the abelian (2,0) tensor supermultiplet. The extra three-form is a supersymmetry singlet and decouples from the (2,0) tensor supermultiplet. We…

High Energy Physics - Theory · Physics 2019-09-25 Neil Lambert

We present non-trivial interactions of N=1 self-dual massive vector multiplet in three-dimensions, with gauged scale covariance. Our multiplets are a vector multiplet (A_\mu, \lambda) and a gauge multiplet (B_\mu, \chi), where the latter is…

High Energy Physics - Theory · Physics 2008-11-26 Hitoshi Nishino , Subhash Rajpoot

Considering a class of (2,0)-super-Yang-Mills multiplets that accommodate a pair of independent gauge potentials in connection with a single symmetry group, we present here their coupling to ordinary matter and to non-linear $\sigma$-models…

High Energy Physics - Theory · Physics 2015-06-26 M. S. Goes-Negrao , M. R. Negrao , A. B. Penna-Firme

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

High Energy Physics - Theory · Physics 2019-03-22 Dongmin Gang , Masahito Yamazaki

We compute the 3d N = 2 superconformal indices for 3d/1d coupled systems, which arise as the worldvolume theories of intersecting surface defects engineered by Higgsing 5d N = 1 gauge theories. We generalize some known 3d dualities,…

High Energy Physics - Theory · Physics 2023-01-11 Junfeng Liu , Yiwen Pan , Hong-Hao Zhang

We consider a coset construction of minimal models. We define it rigorously and prove that it gives superconformal minimal models. This construction allows to build all primary fields of superconformal models and to calculate their…

High Energy Physics - Theory · Physics 2009-10-22 M. Yu. Lashkevich

The relation of s-convexity and sets modeling physical quasicrystals is explained for quasicrystals related to quadratic unitary Pisot numbers. We show that 1-dimensional model sets may be characterized by s-convexity for finite set of…

Rings and Algebras · Mathematics 2016-08-15 Zuzana Masáková , Jiří Patera , Edita Pelantová
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