A Supersymmetry preserving Mass - Deformation of N = 1 Super Yang - Mills in D = 2 +
نویسنده
چکیده
We construct a massive non-abelian N = 1 SYM theory on R. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3). The incorporation of Chern-Simons couplings in the formalism is also presented. The dimensional reduction of the gauge theory and the SUSY algebra is related to a massive N = 2 massive matrix quantum mechanics based on euclidean Clifford2(R).
منابع مشابه
Non - anticommutative N = 2 super - Yang - Mills theory with singlet deformation
We consider a non-anticommutative N = 2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, {θ αi , θ βj } ⋆ = −2iP ǫ αβ ǫ ij. We exploit this unique feature of the N = 2 case to construct a deformation of the rank-one super-Yang-Mills theory which preserves the full N = 2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action descri...
متن کاملMass Deformation of Super Yang-Mills in D=2+1
A mass-deformation of three euclidean dimensional N = 1 SYM theory is carried out. The gluons of the theory are made massive using a nonlocal gauge and Poincare invariant mass term due to Nair, while fermion masses are introduced using standard gaussian terms. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3...
متن کاملVortex-type Half-BPS Solitons in ABJM Theory
We study Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain vortex-type halfBPS equations and the corresponding energy bound. For the undeformed ABJM theory, the resulting half-BPS equation is the same as that in supersymme...
متن کاملSupermultiplets in Five Dimensions
BPS representations of 5-dimensional supersymmetry algebras are classified. For BPS states preserving 1/2 the supersymmetry, there are two distinct classes of multiplets for N = 4 supersymmetry and three classes for N = 8 supersymmetry. For N = 4 matter theories, the two 1/2 supersymmetric BPS multiplets are the massive vector multiplet and the massive self-dual 2-form multiplet. Some applicati...
متن کاملBps Supermultiplets in Five Dimensions
BPS representations of 5-dimensional supersymmetry algebras are classified. For BPS states preserving 1/2 the supersymmetry, there are two distinct classes of multiplets for N = 4 supersymmetry and three classes for N = 8 supersymmetry. For N = 4 matter theories, the two 1/2 supersymmetric BPS multiplets are the massive vector multiplet and the massive self-dual 2-form multiplet. Some applicati...
متن کامل