Gauge Supermultiplet Research Articles

From the superparticle path integral to superfield theory

We investigate the hitherto unexplored relation between the superparticle path integral and superfield theory. Requiring that the path integral has the global symmetries of the classical action and obeys the natural composition property of path integrals, and also that the discretized action has the correct naive continuum limit, we find a viable discretization of the ( D = 3, N = 2) free superparticle action. The resulting propagator is not the usual superfield one. We extend the discretization to include the coupling to an external gauge supermultiplet and use this to show the equivalence to superfield theory. This is possible since we are able to reformulate the superfield perturbation theory in terms of our new propagator.

Supersymmetric gauge quantum mechanics: superfield description

Abstract The superfield formulation of a class of SUSY quantum-mechanical systems connected with effective (0 + 1)-dimensional hamiltonians of supersymmetric gauge theories is proposed. These provide us with supersymmetric d = 1 σ -models of a new type: their bosonic target manifolds are 3 m -dimensional ( m is an integer) with the metrics of a special form, and they enjoy N = 2 supersymmetry. They are constructed (in a peculiar way, specific for d =1) from d =2 vector gauge supermultiplets reduced to 0 + 1 dimensions. A reasonable generalization of these models to higher dimensions is absent.

A new approach to supersymmetry breaking in superstring models

We re-examine supersymmetry breaking in effective four-dimensional field theories derived from the superstring, noting three features of modern four-dimensional string theories that were absent in the earlier compactifications of ten-dimensional string theories. These features are: the replacement of gauge-singlet moduli fields by gauge non-singlet chiral supermultiplets, vector-like matter fields in the hidden sector, and extra U(1) gauge symmetries under which both hidden and observable matter fields transform. We point out that an anomalous U(1) gauge symmetry can fix the magnitudes of the ersatz moduli fields. We propose a new scenario in which composite chiral supermultiplets in the hidden sector break global supersymmetry, and the extra massive U(1) gauge supermultiplets communicate this breaking to the observable sector via radiative corrections in the renormalizable effective field theory.

Supergravity corrections to the static quantities of the gauge supermultiplet

In the context of an unbroken N=1 locally supersymmetric version of the standard model we compute, at the lowest order in the gravitational coupling constant, the contribution of the graviton and the (massless) gravitino to the electromagnetic moments of the spin-1 charged gauge boson and its spin- 1 2 superpartner. All these corrections are shown to be finite although regularization dependent. We verify the expected equality between the anomalous magnetic moments of the gauge boson and the corresponding gaugino. For the electric quadrupole moment of the gauge boson we do not find the expected vanishing result.

PARTICLE MECHANICS IN HARMONIC SUPERSPACE

A harmonic N=2 superparticle action containing one-dimensional CP 1 σ-model action with the Wess-Zumino term is proposed. Hamiltonian mechanics is formulated and quantized by the use of the Gupta-Bleuler method. The spectrum of quantum states of a harmonic N=2 superparticle is shown to contain N=2 matter hypermultiplets, and also the field strength of the Abelian gauge supermultiplet in the massless case. The existence of gauge and supergravity multiplets in the quantum spectra of harmonic N≥3 superparticles is also discussed.

N = 1 complex supersymmetric theory in the harmonic superspace

The N = 1 complex supersymmetric algebra is studied using the harmonic techniques. The massless representations and the classification of their field content in terms of SU(2) n-uplets is obtained. The superspace formulation is developed and the U(1) × U(1) gauge supermultiplet is examined. Other features are discussed.

Nonrenormalizability of super ?3 theory for the N=2 vector gauge supermultiplet

The super Φ3 theory in N=2 superspace is considered for the N=2 vector gauge supermultiplet. Its nonrenormalizability is demonstrated at the one loop level by using supergraph techniques.

Supersymmetry and classical solutions

We obtain classical solutions to the field equations of the massless supersymmetric Wess-Zumino model and to the field equations of the interacting SU(2) gauge supermultiplet. This is done by applying finite supersymmetry transformations to the known solutions of the scalar field equation with ϕ 4 interaction and the Yang-Mills field equations. The relevance of supersymmetry to the solution of classical field equations involving anticommuting fermion fields is discussed.

Supersymmetry, parity and fermion-number conservation

A general rule is formulated for the construction of renormalizable supersymmetric Lagrangians which admit a conserved quantum number (baryon or lepton number) associated with fermions. There are two unusual features. Firstly, there is a class of supermultiplets in which the spinor particle with unit fermion number is accompanied by a scalar particle which carries two units of fermion number. Only in a very restricted class of theories can the appearance of such difermions be avoided. Secondly, the fermion number content of a supermultiplet is governed by its chiral type. Thus, with the conventions adopted here, it is shown that, in scalar supermultiplets, right-handed spinor fermions are associated with ordinary scalar bosons while left-handed spinor fermions are associated with di-fermionic bosons. In gauge supermultiplets ordinary vector bosons are associated with left-handed spinor fermions. In consequence of this peculiar multiplet structure, the problem of defining a conserved parity is non-trivial. It is shown that parity doubling provides no solution unless either supersymmetry or fermion number is violated explicitly. In fact, the solution to the parity problem makes essential use of local symmetries. A class of renormalizable supersymmetric Lagrangians which conserve both fermion number and parity is given. For this class the interactions are governed by a gauge principle, and it turns out that they realize a complex extension of the original supersymmetry.