Strings on semisymmetric superspaces

Semisymmetric graphs from polytopes

Every finite, self-dual, regular (or chiral) 4-polytope of type {3, q, 3} has a trivalent 3-transitive (or 2-transitive) medial layer graph. Here, by dropping self-duality, we obtain a construction for semisymmetric trivalent graphs (which are edgebut not vertex-transitive). In particular, the Gray graph arises as the medial layer graph of a certain universal locally toroidal regular 4-polytope.

Interactions and Strings in Higher Order Anisotropic and Inhomogeneous Superspaces and Isospaces (summary of monograph)

Preface This monograph gives a general geometric background of the theory of field interactions, strings and diffusion processes on spaces, superspaces and isospaces with higher order anisotropy and inhomogenity. The last fifteen years have been attempted a number of extensions of Finsler geometry with applications in theoretical and mathematical physics and biology which go far beyond the orig...

HADRONIC PRESS MONOGRAPHS IN MATHEMATICS Interactions, Strings and Isotopies in Higher Order Anisotropic Superspaces

On the Superconformal Flatness of AdS Superspaces

The superconformal structure of coset superspaces with AdSm × Sn geometry of bosonic subspaces is studied. It is shown, in particular, that the conventional superspace extensions of the coset manifolds AdS2 × S2, AdS3 × S3 and AdS5 × S5, which arise as solutions of corresponding D = 4, 6, 10 supergravities and have been extensively studied in connection with AdS/CFT correspondence, are not supe...

Double-Spinor Superstrings on Coset Superspaces

The double-spinor formalism, proposed by Aisaka and Kazama, provides a basis for the pure-spinor formalism, which allows manifestly super-Poincaré covariant quantization of superstrings. We extend it to the case of backgrounds realized by coset superspaces. A general method constructing reparametrization invariant action is given by using two concrete examples, the flat space-time and AdS5 × S....