The Plane-Wave/Super Yang-Mills Duality

We present a self-contained review of the Plane-wave/super-Yang-Mills duality, which states that strings on a plane-wave background are dual to a particular large R-charge sector of N=4, D=4 superconformal U(N) gauge theory. This duality is a specification of the usual AdS/CFT correspondence in the "Penrose limit''. The Penrose limit of AdS_5 S^5 leads to the maximally supersymmetric ten dimensional plane-wave (henceforth "the'' plane-wave) and corresponds to restricting to the large R-charge sector, the BMN sector, of the dual superconformal field theory. After assembling the necessary background knowledge, we state the duality and review some of its supporting evidence. We review the suggestion by 't Hooft that Yang-Mills theories with gauge groups of large rank might be dual to string theories and the realization of this conjecture in the form of the AdS/CFT duality. We discuss plane-waves as exact solutions of supergravity and their appearance as Penrose limits of other backgrounds, then present an overview of string theory on the plane-wave background, discussing the symmetries and spectrum. We then make precise the statement of the proposed duality, classify the BMN operators, and mention some extensions of the proposal. We move on to study the gauge theory side of the duality, studying both quantum and non-planar corrections to correlation functions of BMN operators, and their operator product expansion. The important issue of operator mixing and the resultant need for re-diagonalization is stressed. Finally, we study strings on the plane-wave via light-cone string field theory, and demonstrate agreement on the one-loop correction to the string mass spectrum and the corresponding quantity in the gauge theory. A new presentation of the relevant superalgebra is given.Comment: RevTeX 4 format; 91 pages; 7 figures. Prepared for Reviews of Modern Physics. Please send comments to darius, jabbari @ itp.stanford.edu. v3: Minor typos fixe

Efficient Enumeration of Non-Equivalent Squares in Partial Words with Few Holes

International audienceA partial word is a word with holes (also called don't cares: special symbols which match any symbol). A p-square is a partial word matching at least one standard square without holes (called a full square). Two p-squares are called equivalent if they match the same sets of full squares. Denote by psquares(T) the number of non-equivalent p-squares which are subwords of a partial word T. Let PSQUARES k (n) be the maximum value of psquares(T) over all partial words of length n with k holes. We show asympthotically tight bounds: c1 · min(nk 2 , n 2) ≤ PSQUARES k (n) ≤ c2 · min(nk 2 , n 2) for some constants c1, c2 > 0. We also present an algorithm that computes psquares(T) in O(nk 3) time for a partial word T of length n with k holes. In particular, our algorithm runs in linear time for k = O(1) and its time complexity near-matches the maximum number of non-equivalent p-squares

Namık Kemal

Taha Toros Arşivi, Dosya Adı: Namık Kemalİstanbul Kalkınma Ajansı (TR10/14/YEN/0033) İstanbul Development Agency (TR10/14/YEN/0033

Cloning and expression of NS3 helicase fragment of hepatitis C virus and the study of its immunoreactivity in HCV infected patients

Objective(s): Hepatitis C is a major cause of liver failure worldwide. Current therapies applied for this disease are not fully effective and produce side effects in most cases. Non-structural protein 3 helicase (NS3) of HCV is one of the key enzymes in viral replication and infection. Therefore, this region is a promising target to design new drugs and therapies against HCV infection. The aim of this study was cloning and expression of HCV NS3 helicase fragment in Escherichia coli BL21 (DE3) using pET102/D-TOPO expression vector and studying immunoreactivity of the expressed antigen in Iranian infected with hepatitis C. Materials and Methods: The viral RNA was extracted from the serum of HCV infected patient. The NS3 helicase region was amplified by RT-PCR. The PCR product was directionally cloned into the expression vector pET102/D-TOPO and transformed into the BL21 strain of E. coli (DE3). The transformed bacteria were then induced by adding 1mM isopropyl-β-D-thiogalactopyranoside (IPTG) into the culture medium to enhance the protein expression. SDS-PAGE and western blotting were carried out to identify the protein under investigation, and finally purified recombinant fusion protein was used as the antigen for ELISA method. Results: The insertion of the DNA fragment of the NS3 region into the expression vector was further confirmed by PCR and sequencing. SDS-PAGE analysis showed the successful expression of the recombinant protein of interest. Furthermore, immunoreactivity of fusion NS3 helicase was confirmed by ELISA and western blotting. Conclusion: It seems that this recombinant protein could be a useful source of antigen for future studies on HCV diagnosis and therapy. © 2015, Mashhad University of Medical Sciences. All rights reserved