D=2 superfield supergravity, local (supersymmetry) 2 and non-linear Σ models (original) (raw)

General matter coupled N = 2 supergravity

Nuclear Physics B, 1996

The general form of N = 2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in that we use a coordinate independent and manifestly symplectic covariant formalism which allows to cover theories dicult to formulate within superspace or tensor calculus approach. We provide the complete lagrangian and supersymmetry variations with all fermionic terms, and the form of the scalar potential for arbitrary quaternionic manifolds and special geometry, not necessarily in special coordinates. Our results can be used to explore properties of theories admitting N = 2 supergravity a s l o w energy limit.

Supergravity with gauged second order symmetry

Physics Letters B, 1997

A D=4, N=1 supergravity model is presented which unites, through a continuous deformation parameter, new minimal supergravity with an extra U (1) gauge multiplet and standard supergravity with local R-symmetry in a formulation with a nonstandard set of auxiliary fields. The deformation gauges a second order symmetry, implements an electromagnetic duality relating the extra U (1) to the R-symmetry, and breaks supersymmetry spontaneously.

N = 1 2 supersymmetric four-dimensional nonlinear s-models from nonanticommutative superspace

Nucl Phys B, 2005

The component structure of a generic N=1/2 supersymmetric nonlinear sigma-model (NLSM) defined in the four-dimensional (Euclidean) nonanticommutative (NAC) superspace is investigated in detail. The most general NLSM is described in terms of arbitrary Kähler potential, and chiral and antichiral superpotentials. The case of a single chiral superfield gives rise to splitting of the NLSM potentials, whereas the case of several chiral superfields results in smearing (or fuzziness) of the NLSM potentials, while both effects are controlled by the auxiliary fields. We eliminate the auxiliary fields by solving their algebraic equations of motion, and demonstrate that the results are dependent upon whether the auxiliary integrations responsible for the fuzziness are performed before or after elimination of the auxiliary fields. There is no ambiguity in the case of splitting, i.e., for a single chiral superfield. Fully explicit results are derived in the case of the N=1/2 supersymmetric NAC-deformed CP NLSM in four dimensions. Here we find another surprise that our results differ from the N=1/2 supersymmetric CP NLSM derived by the quotient construction from the N=1/2 supersymmetric NAC-deformed gauge theory. We conclude that an N=1/2 supersymmetric deformation of a generic NLSM from the NAC superspace is not unique.

Non-linear realization of -extended supersymmetry

Nuclear Physics B, 2000

As generalizations of the original Volkov-Akulov action in four-dimensions, actions are found for all space-time dimensions D invariant under N non-linear realized global supersymmetries. We also give other such actions invariant under the global non-linear supersymmetry. As an interesting consequence, we find a nonlinear supersymmetric Born-Infeld action for a non-Abelian gauge group for arbitrary D and N, which coincides with the linearly supersymmetric Born-Infeld action in D = 10 at the lowest order. For the gauge group U(N) for M(atrix)-theory, this model has N 2-extended non-linear supersymmetries, so that its large N limit corresponds to the infinitely many (ℵ 0) supersymmetries. We also perform a duality transformation from F µν into its Hodge dual N µ 1 •••µ D−2. We next point out that any Chern-Simons action for any (super)groups has the non-linear supersymmetry as a hidden symmetry. Subsequently, we present a superspace formulation for the component results. We further find that as long as superspace supergravity is consistent, this generalized Volkov-Akulov action can further accommodate such curved superspace backgrounds with local supersymmetry, as a super p-brane action with fermionic kappa-symmetry. We further elaborate these results to what we call 'simplified' (Supersymmetry) 2-models, with both linear and non-linear representations of supersymmetries in superspace at the same time. Our result gives a proof that there is no restriction on D or N for global non-linear supersymmetry. We also see that the non-linear realization of supersymmetry in 'curved' space-time can be interpreted as 'non-perturbative' effect starting with the 'flat' space-time.

ITP – UH – 15 / 96 revised version ( 4 , 4 ) SUPERFIELD SUPERGRAVITY 1

1996

DESY 96 –165 hep-th/9608131 ITP–UH–15/96 revised version Abstract We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I, as well as the corresponding component results, in a form suitable for applications. The constraints are shown to be invariant under the N=4 super-Weyl transformations, whose N=4 superfield parameters form another twisted (scalar) multiplet TM-II. To solve the constraints, we propose the Ansatz which makes the N=4 superconformal flatness of the N=4 supergravity curved superspace manifest. The locally (4,4) supersymmetric TM-I matter couplings, with the potential terms resulting from spontaneous supersymmetry breaking, are constructed. We also find the full (4,4) superconformally invariant (improved) TM-II matter action. The latter can be extended to the (4,4) locally supersymmetric Liouville action which is suitable for describi...

non-linear supersymmetric mechanics

Physics Letters B, 2006

We construct a new two-dimensional N = 8 supersymmetric mechanics with nonlinear chiral supermultiplet. Being intrinsically nonlinear this multiplet describes 2 physical bosonic and 8 fermionic degrees of freedom. We construct the most general superfield action of the sigma-model type and propose its simplest extension by a Fayet-Iliopoulos term. The most interesting property of the constructed system is a new type of geometry in the bosonic subsector, which is different from the special Kähler one characterizing the case of the linear chiral N = 8 supermultiplet.

Heterotic σ-models and conformal supergravity in two dimensions

The (1, 0) and (2, 0) type heterotic a-models with Wess-Zumino term are coupled to conformal supergravity in two dimensions. There are no new restrictions on the o-model manifolds in addition to those which arise in the globally supersymmetric cases. In the (1, 0) case possible isometries of the scalar manifold are gauged. A derivation of d = 2 conformal supergravity based on the super Lie algebra aSp(2, N)~OSp(2, N) (N = 1, 2) is given.

Non-Linear realization of supersymmetry algebra from supersymmetric constraint

Physics Letters B

We discuss spontaneous symmetry breaking of global supersymmetry for a single scalar superfield in an arbitrary K~ihler manifold. We show that when the curvature of the manifold goes to infinity (or, equivalently, the masses of the scalar partners of the goldstino go to infinity ) a non-linear realization of supersymmetry is obtained. The model can be described, in perfect analogy to the ordinary a-models, by means ofa supersymmetric constraint on the superfield q), of the form q)2 = 0. The non-linear realization we obtain is different from that of Volkov and Akulov. The differences among the two realizations are discussed.