[en] Previously a linear representation of supersymmetry (Ss) was used in investigations of renormalizability. There auxiliary fields have been introduced in order that the Ss-algebra closes 'off-shell'. When the auxiliary fields are eliminated by their equations of motion, the Ss representation becomes nonlinear and Ss closes only 'on-shell'. Following O.Piguet and K.Sibold 1984 Ss is expressed through Ward identities which are formulated as functional variations of the generating functional of the Green functions. These functional operators form a closed algebra, a fact essential for the proof of renormalizability, which is given. It is not necessary to use a specific subtraction scheme in the Green functions. The procedure is applied to the Wess-Zumino model and the supersymmetric extension of the quantum electrodynamics. 15 refs. (qui)

[en] The supersymmetric massless states of a relativistic extension of Witten's supersymmetric quantum mechanics are shown to correspond to abelian gauge fields realized by antisymmetric tensors. The massive states, which are only partially supersymmetric, include spin-1 and spin-0 particles. In particular the Maxwell and Proca fields are obtained from N = 2 supersymmetric relativistic mechanics by first quantization in much the same way as the Dirac theory arises in the N = 1 case. The particles may be coupled supersymmetrically to external scalar and complex hermitian tensor fields. The latter reduce in special cases to the Riemannian metric of external gravitation and the Kaehler metric implied by a vector field coupling. All the couplings exhibit a quadrupole characteristics of the particles. In particular supersymmetry requires their electric charge and magnetic dipole moment to vanish, and there is no coupling to torsion in Riemann-Cartan spacetime. Quantization in external fields yields covariant generalizations of the classical tensor field equations. Finally classical equations of translational and spin motion involving only real quantities are obtained from the Heisenberg equations. (Author)

[en] Recently proposed path integral approach to Hamiltonian mechanics arised naturally to a fundamental supersymmetry lying behind dynamical properties of the Hamiltonian systems. 2n-ghost sector is proved to be the only sector providing non-trivial physically relevant BRS and anti-BRS invariant state, which is the Gibbs state. By applying the path integral formalism, the author studies supersymmetric properties of the Birkhoffian generalization of the Hamiltonian mechanics which is characterized by allowing a fundamental 2-form to be dependent on phase space coordinates. It has been shown, in the Birkhoffian mechanics, that among the even-ghost sectors only the 2n-ghost sector yields relevant invariant state. 30 refs

[en] We find some relationships between the usual AKNS scheme with the super one, when its elements take value from the Grassmann algebra on a two-dimensional vector space. The solutions of these super AKNS equations are discussed. (author)

No abstract available

[en] We show how a recently proposed large N duality in the context of type IIA strings with N=1 supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory. The phase structure of M-theory on G₂ holonomy manifolds and an S³ flop are the key ingredients in this derivation

[en] A procedure for Pauli-Villars regularization of locally and globally supersymmetric theories is described. Implications for specific theories, especially those obtained from superstrings, are discussed with emphasis on the role of field theory anomalies

[en] We construct models of indirect gauge mediation where the dynamics responsible for breaking supersymmetry simultaneously generates a weakly coupled subsector of messengers. This provides a microscopic realization of messenger gauge mediation where the messenger and hidden sector fields are unified into a single sector. The UV theory is SQCD with massless and massive quarks plus singlets, and at low energies it flows to a weakly coupled quiver gauge theory. One node provides the primary source of supersymmetry breaking, which is then transmitted to the node giving rise to the messenger fields. These models break R-symmetry spontaneously, produce realistic gaugino and sfermion masses, and give a heavy gravitino.

[en] In this paper we derive the type-II integrable defect for the N =2 supersymmetric sinh-Gordon (sshG) model by using the fusing procedure. In particular, we show explicitly the conservation of the modified energy, momentum and supercharges. (paper)

[en] The authors extend the Curci-Paffuti relation of bosonic sigma models to the supersymmetric case. In the N = 1 model, a similar relation is found, while in the N = 2 model, a vanishing result ensues for the dilaton β-function. One contribution to the dilaton β-function in the N = 2 model is identified as a previous result of Grisaru and Zanon; however, if the authors remain within a minimal subtraction scheme, other terms coming from finite subtractions appear which precisely cancel that and give a vanishing result