Transformation optics enables engineering of the effective topology and dimensionality of the optical space in metamaterials. Nonlinear optics of such metamaterials may mimic Kaluza-Klein theories having one or more kinds of effective charges. As a result, novel photon blockade devices may be realized. Here we demonstrate that an electromagnetic wormhole may be designed, which connects two poin...

The class of the free relativistic covariant equations generated by the fractional powers of the D’Alambertian operator ( ) is studied. Meanwhile the equations corresponding to n = 1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, the multicomponent equations for arbitrary n > 2 are non-local. It is shown, how the representation of generalized algebra of Pauli and Dirac matr...

A realization of En+1 monopoles in string theory is given. The NS five brane stuck to an Orientifold eight plane is identified as the ’t Hooft Polyakov monopole. Correspondingly, the moduli space of many such NS branes is identified with the moduli space of SU(2) monopoles. These monopoles transform in the spinor representation of an SO(2n) gauge group when n D8 branes are stacked upon the orie...

With the help of the deformed Heisenberg algebra involving Klein operator, we construct the minimal set of linear differential equations for the (2+1)-dimensional relativistic field with arbitrary fractional spin, whose value is defined by the deformation parameter. MIRAMARE–TRIESTE September 1993 Permanent address: IHEP, Protvino, Moscow Region, 142284 Russia, e-mail: [email protected] The ...