In N=2 ungauged supergravity we have found the most general doubleextreme dyonic black holes with arbitrary number nv of constant vector multiplets and nh of constant hypermultiplets. They are double-extreme: 1) supersymmetric with coinciding horizons, 2) the mass for a given set of quantized charges is extremal. The spacetime is of the Reissner-Nordström form and the vector multiplet moduli de...

where q = e. Let d ≡ 0, 3 (mod 4) be a positive integer, so that −d is a negative discriminant. Denote by Qd the set of positive definite integral binary quadratic forms Q(x, y) = ax + bxy + cy = [a, b, c] with discriminant −d = b − 4ac, including imprimitive forms (if such exist). We let αQ be the unique complex number in the upper half plane H which is a root of Q(x, 1) = 0. Values of j at th...

The moduli space Mg of compact Riemann surfaces of genus g has structure of orbifold and the set of singular points for such orbifold is the branch locus Bg. In this article we present some results related with the topology of Bg, the connectedness of Bg for g ≤ 8, the existence of isolated equisymmetric strata of a given dimension in Bg and finally the connectedness of the branch locus of the ...

We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting N = 4 superconformal Yang-Mills theory. We first note that an ideal probe of the dual geometry is the YangMills instanton, probing point by point in spacetime. We then study instanton moduli space at finite temperature by adopting Hitchin’s proposal that geometry of the moduli sp...

We investigate the relationship between supersymmetric gauge theories with moduli spaces and matrix models. Particular attention is given to situations where the moduli space gets quantum corrected. These corrections are controlled by holomorphy. It is argued that these quantum deformations give rise to non-trivial relations for generalized resolvents that must hold in the associated matrix mod...

We consider some classical maps from the theory of abelian varieties and their moduli spaces, and prove their definability on restricted domains in the o-minimal structure Ran,exp. In particular, we prove that the projective embedding of the moduli space of the principally polarized abelian variety Sp(2g,Z)\Hg is definable in Ran,exp when restricted to Siegel’s fundamental set Fg . We also prov...

We give a necessary and sufficient condition for set of left invariant metrics on compact Heisenberg manifold to be relatively in the corresponding moduli space.

This paper presents a new reverse converter architecture for the moduli set { 2 -1, 2, 2 +1, 2-1}. It exploits the special properties of the numbers of the form 1 2 ± , and extends the dynamic range of the present triple moduli based systems. Here we use a combination of CRT and MRC for reverse conversion. With a pipelined system the throughput rate is that of a single 3n+1 bit binary adder delay.

Residue Number System is a numerical system which arithmetic operations are performed parallelly. One of the main factors that affects the system’s performance is the complexity of reverse converter. It should be noted that the complexity of this part should not affect the earned speed of parallelly performed arithmetic unit. Therefore in this paper a high speed converter for moduli set {2n-1, ...

Residue Number System is a numerical system which arithmetic operations are performed parallelly. One of the main factors that affects the system’s performance is the complexity of reverse converter. It should be noted that the complexity of this part should not affect the earned speed of parallelly performed arithmetic unit. Therefore in this paper a high speed converter for moduli set {2n-1, ...