We show that an extremal Kerr black hole, appropriately lifted to M theory, can be transformed to a Kaluza-Klein black hole in M theory, or a D0-D6 charged black hole in string theory. Since all the microstates of the latter have recently been identified, one can exactly reproduce the entropy of an extremal Kerr black hole. We also show that the topology of the event horizon is not well defined...

We perform lattice simulations of N D0-branes at finite temperature in the decoupling limit, namely 16 supercharge SU(N) Yang-Mills quantum mechanics in the ’t Hooft limit. At low temperature this theory is conjectured to be dual to certain supergravity black holes. We emphasize that the existence of a non-compact moduli space renders the partition function of the quantum mechanics theory diver...

we study the theory of best approximation in tensor product and the direct sum of some lattice normed spacesx_{i}. we introduce quasi tensor product space anddiscuss about the relation between tensor product space and thisnew space which we denote it by x boxtimesy. we investigate best approximation in direct sum of lattice normed spaces by elements which are not necessarily downwardor upward a...

A conjectured duality between supergravity and N = ∞ gauge theories gives predictions for the glueball masses as eigenvalues for a supergravity wave equations in a black hole geometry, and describes a physics, most close toa hightemeperature expansion of a lattice QCD. We present an analytical solution for eigenvalues and eigenfunctions, with eigenvalues given by zeroes of a certain well-comput...

The charge density wave instability in one-dimensional semimetals is usually explained through a Peierls-like mechanism, where the coupling of electrons and phonons induces periodic lattice distortion along certain modes vibration, leading to gap opening electronic band structure lowering symmetry lattice. In this work, we study two prototypical Peierls systems: carbon chain monatomic hydrogen ...

 In conventional photonic crystal fibers (PCF’s),the cladding structure is usually formed by air holes with the same diameter arrayed in regular triangular lattice. However, in index guiding PCF’s means in Hole Assisted Fiber, the periodicity in the cladding region is not essential to confine the guiding light in to the high-index core region. Hole Assisted Fiber (HAF) technology is investigat...