arXiv subjects

Paul Demkin

Publications and source records attributed to Paul Demkin.

3 recordsLinked to original sources

arXiv1994

Some properties of the linearized model of the (super)$p$-brane

Some general properties of the relativistic $p$-dimensional surface imbedded into $D$-dimensional spacetime and its reduction to the sim\-plest case of the quadratic Lagrangian (the linearized model) are considered. The solutions of the equations of motion of the linearized model for the $p$-brane with arbitrary topology and massless eigenstates, as well as with critical dimension after quantization are presented. Some generalizations for the supermembrane are discussed.

hep-th↗

arXiv1994

Special functions as structure constants for new infinite-dimensional algebras

Novel infinite-dimensional algebras of the Virasoro/Kac-Moody/ Floratos-Iliopoulos type are introduced, which involve special functions in their structure constants

hep-th↗

arXiv1994

3nj-symbols and D-dimensional quantum gravity

The model which generalizes Ponzano and Regge $3D$ and Carfora-Martellini-Marzuoli $4D$ euclidean quantum gravity is considered. The euclidean Einstein-Regge action for a $D$-simplex is given in the semiclassical limit by a gaussian integral of a suitable $3nj$-symbol.

hep-th↗