Nonrelativistic Supersymmetry and Lorentz Invariance

Sokatchev, E.; Stoyanov, D. Ts.

doi:10.1142/s0217732386000737

Cited by 16 publications

(23 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Being model-independent, it may be used as a basis for a systematic construction of various D = 11 models. In particular, it follows from the consideration of Sec.4 that there may exist a more transparent algebraic formulation for the D = 11 superparticle in terms of the Lorentz-harmonic variables [24][25][26][27][28]. We consider these models as a preliminary step towards a construction of D = 11 S-invariant formulations for SYM and superstring actions, which might contribute to a better understanding of the uncompactified M-theory [10][11][12][13].…”

Section: Discussionmentioning

confidence: 99%

Examples of D = 11 S-Supersymmetric Actions for Point-Like Dynamical Systems

Дериглазов

Гитман

1998

Mod. Phys. Lett. A

View full text Add to dashboard Cite

A non standard super extensions of the Poincare algebra (S-algebra [1,2]), which seems to be relevant for construction of various D = 11 models, are studied. We present two examples of actions for point-like dynamical systems, which are invariant under off-shell closed realization of the S-algebra as well as under local fermionic κ-symmetry. On this ground, an explicit form of the S-algebra is advocated. * deriglaz@fma.if.usp.br, On leave of absence from the Dept. of Mathematics, TPU, Tomsk, Russia. † gitman@fma.if.usp.br 1 We mean gauge transformations for the SYM-theory and local κ-symmetry transformations for the case of superstring.

show abstract

Section: Discussionmentioning

confidence: 99%

Examples of D = 11 S-Supersymmetric Actions for Point-Like Dynamical Systems

Дериглазов

Гитман

1998

Mod. Phys. Lett. A

View full text Add to dashboard Cite

show abstract

“…The SO(1, 10) valued moving frame matrix u a m splits into two light-like and 9 space-like vectors [31] u a m = (u ++ m , u −− m , u I m ) ∈ SO(1, 10) (4.13)…”

Section: 1mentioning

confidence: 99%

New Superparticle Models Outside the HLS Supersymmetry Scheme

Bandos

Lukierski

2000

Theoretical Physics Fin De Siècle

View full text Add to dashboard Cite

We consider the superparticle models invariant under the supersymmetries with tensorial central charges, which were not included in D = 4 Haag-Lopuszanski-Sohnius (HLS) supersymmetry scheme.We present firstly a generalization of D = 4 Ferber-Shirafuji (FS) model with fundamental bosonic spinors and tensorial central charge coordinates. The model contains four fermionic coordinates and possesses three κ-symmetries thus providing the BPS configuration preserving 3/4 of the target space supersymmetries. We show that the physical degrees of freedom (8 real bosonic and 1 real Grassmann variable) of our model can be described by OSp(8|1) supertwistor. Then we propose a higher dimensional generalization of our model with one real fundamental bosonic spinor. D = 10 model describes massless superparticle with composite tensorial central charges and in D = 11 we obtain 0-superbrane model with nonvanishing mass which is generated dynamically. The introduction of D = 11 Lorentz harmonics provides the possibility to construct massless D = 11 superparticle model which can be formulated in a way preserving 1/2, 17/32, 18/32, . . ., 31/32 supersymmetries. In a special case we obtain the twistor-like formulation of the usual massless D = 11 superparticle proposed recently by Bergshoeff and Townsend. *

show abstract

“…In any number of space-time dimensions the Lorentz harmonic variables [45] which are appropriate to adapt the target space vielbein to the string world volume [14] are defined as…”

Section: Appendix a Properties Of Lorentz Harmonic Variablesmentioning

confidence: 99%

Superstring `ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system

Bandos

Kummer

2000

Nuclear Physics B

View full text Add to dashboard Cite

A supersymmetric action functional describing the interaction of the fundamental superstring with the D = 10, type IIB Dirichlet super-9-brane is presented. A set of supersymmetric equations for the coupled system is obtained from the action principle. It is found that the interaction of the string endpoints with the super-D9-brane gauge field requires some restrictions for the image of the gauge field strength. When those restrictions are not imposed, the equations imply the absence of the endpoints, and the equations coincide either with the ones of the free super-D9-brane or with the ones for the free closed type IIB superstring. Different phases of the coupled system are described. A generalization to an arbitrary system of intersecting branes is discussed.

show abstract

Nonrelativistic Supersymmetry and Lorentz Invariance

Cited by 16 publications

References 0 publications

Examples of D = 11 S-Supersymmetric Actions for Point-Like Dynamical Systems

Examples of D = 11 S-Supersymmetric Actions for Point-Like Dynamical Systems

New Superparticle Models Outside the HLS Supersymmetry Scheme

Superstring `ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system

Contact Info

Product

Resources

About