We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N = 4 SYM theory [hep-th]) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a non-trivial function of (dual) conformal kinematical invariants. This pr...

N = 2 closed strings have been recently divided in hep-th/0211147 to two T-dual families denoted by α and β. In (2, 2) signature both families have one scalar in the spectrum. The scalar in the β-string is known to be a deformation of the target space Kähler potential and the dynamics is that of self-dual gravity. In this paper we compute the effective action of the scalar in the α-string. The ...

We interpret D-strings at the bottom of the warped deformed conifold as axionic strings in the dual cascading SU(N + M) × SU(N) gauge theory. The axion is a massless pseudo-scalar glueball which we find in the supergravity fluctuation spectrum and interpret as the Goldstone boson of spontaneously broken U(1) baryon number symmetry. The existence of this massless glueball, anticipated in hep-th/...

Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|begin{align*}left|f right|_{mathcal{W}_...

A scheme for recognizi ng 3D objects f romsi ngle 2D images i s i ntroduced. The scheme proceeds i n two stages. In the rst stage, the categorizat i on st age, the image i s compared to prototype obj ects. For each prototype, the vi ew that most resembl es the image i s recovered, and, i f the vi ew i s f ound to be simi l ar to the image, the cl ass i denti ty of the obj ect i s determi ned. I...

in this paper we showed th at e nergy as an input has a significa nt role in th e production fun ction in the diffe rent sectors o f eco nomy. ene rgy inte nsity in th e ir ani an economy has increased dramatically d ur ing 1972-94. usi ng a cobb-douglas production fu nctio n for the diltcrc nt sectors in ir an (assuming each se ctor to usc lab o r. ca pit al and e ne rgy asinput ) we showed th...