Chern-Simons Gravity: from 2+1 to 2n+1 dimensions

Zanelli, Jorge

doi:10.1590/s0103-97332000000200006

Cited by 21 publications

(19 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a result it solves the purely bosonic equations of a Chern-Simons supergravity [see [14,15], although our statement may be related to a more general version of a hypothetical Chern-Simons-like supergravity],…”

Section: B Generalized Holonomy For Bps Preons and For ν = K/32 Supementioning

confidence: 99%

“…Although no definite answer to the question of the existence of BPS preonic solutions for the standard CJS supergravity is given here, we do show (in Sec. IV A) that ν = 31/32 supersymmetric preonic configurations solve the equations in the Chern-Simons (CS) supergravity case [14] (for a review, see [15]) i.e., that CS supergravity does have preonic solutions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

BPS preons, generalized holonomies, andD=11supergravities

et al. 2004

View full text Add to dashboard Cite

We develop the BPS preon conjecture to analyze the supersymmetric solutions of D = 11 supergravity. By relating the notions of Killing spinors and BPS preons, we develop a moving G-frame method (G = GL(32, R), SL(32, R) or Sp(32, R)) to analyze their associated generalized holonomies. As a first application we derive here the equations determining the generalized holonomies of ν = k/32 supersymmetric solutions and, in particular, those solving the necessary conditions for the existence of BPS preonic (ν = 31/32) solutions of the standard D = 11 supergravity. We also show that there exist elementary preonic solutions, i.e. solutions preserving 31 out of 32 supersymmetries in a Chern-Simons type supergravity. We present as well a family of worldvolume actions describing the motion of pointlike and extended BPS preons in the background of a D'Auria-Fré type OSp(1|32)-related supergravity model. We discuss the possible implications for M-theory.

show abstract

Section: B Generalized Holonomy For Bps Preons and For ν = K/32 Supementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

BPS preons, generalized holonomies, andD=11supergravities

et al. 2004

View full text Add to dashboard Cite

show abstract

“…Let us note that under the boundary conditions (2.7) the Chern-Simons actions I CS [A] and I CS [Ā] do not have well defined functional derivatives [19,20]. However, without loss of generality, these conditions can be refined to ensure the needed differentiability, as we shall see in the next subsection.…”

Section: B Chern-simons Form Of the Actionmentioning

confidence: 99%

Three-dimensional gravity with torsion as a Chern-Simons gauge theory

Blagojević

Vasilić

2003

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…The phase space structure of 3d gravity is known to be of great importance not only at the classical level, but also for a clear understanding of the related quantum structure [1,2]. In particular, the Virasoro algebra of the asymptotic symmetry plays a central role in our understanding of the quantum nature of black hole [3][4][5][6][7][8][9][10]. One can observe, however, that the analysis of these issues has been carried out only in Riemannian spacetime of general relativity.…”

Section: Introductionmentioning

confidence: 99%

“…The construction is realized with the help of appropriate boundary terms [18], which are interpreted as the conserved charges of the theory. The investigation of the Poisson bracket algebra of the asymptotic generators leads to the central result of the paper: the asymptotic symmetry is characterized by the classical Virasoro algebra with central charge, the value of which is the same as in Riemannian spacetime of general relativity: c = 3ℓ/2G [4][5][6][7][8][9][10]. Finally, section VII is devoted to concluding remarks, while Appendices contain some technical details.…”

Section: Introductionmentioning

confidence: 99%