Locally supersymmetric D = 3 non-linear sigma models

Wit, Bernard de; Tollstén, A.K.; Nicolai, Hermann

doi:10.1016/0550-3213(93)90195-u

Cited by 116 publications

(126 citation statements)

References 38 publications

Supporting

Mentioning

120

Contrasting

Unclassified

Order By: Relevance

“…For ν = 0 the mass of the matter supermultiplet is non-vanishing and the spin range within a supermultiplet increases with N. Since massive fields of spins greater than 1/2 are not included in our model, N > 2 extended supersymmetry cannot be realized. In the massless case, however, one can realize higher supersymmetries within only scalar and spinor fields [62] due to trivialization of the notion of spin for the d = 3 massless case (i.e. trivialization of the d = 3 massless little group).…”

Section: Massless Case and N -Extended Susymentioning

confidence: 99%

Higher-spin gauge interactions for massive matter fields in 3D AdS space-time

Prokushkin¹,

Vasiliev²

1999

Nuclear Physics B

328

1,028

View full text Add to dashboard Cite

A remarkable feature of the models with interactions exhibiting higher-spin (HS) gauge symmetries in d > 2 is that their most symmetric vacua require (anti)-de Sitter (AdS) geometry rather than the flat one. In striking parallelism to what might be expected of M theory HS gauge theories describe infinite towers of fields of all spins and possess naturally space-time SUSY and Chan-Paton type inner symmetries. In this paper, we analyze at the level of the equations of motion the simplest non-trivial HS model which describes HS gauge interactions (on the top of the usual supergravitational and (Chern-Simons) Yang-Mills interactions) of massive spin-0 and spin-1/2 matter fields in d = 2 + 1 AdS space-time. The parameter of mass of the matter fields is identified with the vev of a certain auxiliary field in the model. The matter fields are shown to be arranged into d3 N = 2 massive hypermultiplets in certain representations of U (n) × U (m) Yang-Mills gauge groups. Discrete symmetries of the full system are studied, and the related N = 1 supersymmetric truncations with O(n) and Sp(n) Yang-Mills symmetries are constructed. The simplicity of the model allows us to elucidate some general properties of the HS models. In particular, a new result, which can have interesting implications to the higher-dimensional models, is that our model is shown to admit an "integrating" flow that proves existence of a non-local Bäcklund-Nicolai-type mapping to the free system.

show abstract

Section: Massless Case and N -Extended Susymentioning

confidence: 99%

Higher-spin gauge interactions for massive matter fields in 3D AdS space-time

Prokushkin¹,

Vasiliev²

1999

Nuclear Physics B

328

1,028

View full text Add to dashboard Cite

show abstract

“…The closest references to the results here presented are given by the papers [10,11] in which the classification of (in our language) the short multiplets for the Euclidean Supersymmetry was derived.…”

Section: Introductionmentioning

confidence: 99%

“…The construction along the lines (3.2)-(3.9) for representations of the type {d, d} in the case of positively definite signature (p, q) = (N, 0) was performed in [10] (see also [11]) where the dimensionalities as well as realizations of the Γ-matrices (3.6) were described. In the case of pseudo-Euclidean metric with signature (p, q) such construction extensively uses the considerations of the papers [23].…”

Section: Extended Supersymmetries and Real-valued Clifford Algebrasmentioning

confidence: 99%

See 1 more Smart Citation

On the classification of N-extended supersymmetric quantum mechanical systems

Pashnev¹,

Toppan²

2001

Journal of Mathematical Physics

129

424

View full text Add to dashboard Cite

In this paper some properties of the irreducible multiplets of representation for the N = (p, q) -extended supersymmetry in one dimension are discussed. Essentially two results are here presented. At first a peculiar property of the one dimension is exhibited, namely that any multiplet containing 2d (d bosonic and d fermionic) particles in M different spin states, is equivalent to a {d, d} multiplet of just 2 spin states (all bosons and all fermions being grouped in the same spin). Later, it is shown that the classification of all multiplets of this kind carrying an irreducible representation of the N -extended supersymmetry is in one-to-one correspondence with the classification of real-valued Clifford Γ-matrices of Weyl type. In particular, p + q is mapped into D, the space-time dimensionality, while 2d is determined to be the dimensionality of the corresponding Γ-matrices. The implications of these results to the theory of spinning particles are analyzed. *

show abstract

“…In particular, the geometry of the target manifolds parametrized by the scalar fields is Kähler for Nϭ2, quaternionic for Nϭ3,4 and symmetric for Nϭ5,6,8. For Nϭ9,10,12,16, the theories are based on a single supermultiplet and are associated with coset spaces with the exceptional isometry groups F 4 , E 6 , E 7 , and E 8 , respectively. Recently, a number of maximal (Nϭ16) gauged models with a variety of admissible compact and noncompact gauge groups were constructed in ͓11,12͔.…”

Section: Introductionmentioning

confidence: 99%

Chern-Simons vortices in supergravity

Abou-Zeid

Samtleben

2002

Phys. Rev. D

View full text Add to dashboard Cite

We study supersymmetric vortex solutions in three-dimensional Abelian gauged supergravity. First, we construct the general U(1)-gauged Dϭ3, Nϭ2 supergravity whose scalar sector is an arbitrary Kähler manifold with U(1) isometry. This construction clarifies the connection between local supersymmetry and the specific forms of some scalar potentials previously found in the literature-in particular, it provides the locally supersymmetric embedding of the Abelian Chern-Simons Higgs model. We show that the Killing spinor equations admit rotationally symmetric vortex solutions with asymptotically conical geometry which preserve half of the supersymmetry.

show abstract

Locally supersymmetric D = 3 non-linear sigma models

Cited by 116 publications

References 38 publications

Higher-spin gauge interactions for massive matter fields in 3D AdS space-time

Higher-spin gauge interactions for massive matter fields in 3D AdS space-time

On the classification of N-extended supersymmetric quantum mechanical systems

Chern-Simons vortices in supergravity

Contact Info

Product

Resources

About