I review aspects of string theory on plane wave backgrounds emphasising the connection to gauge theory given by the BMN correspondence. Topics covered include the Penrose limit and its role in deriving the BMN duality from AdS/CFT, light-cone string field theory in the maximally supersymmetric plane wave and extensions of the correspondence to less supersymmetric backgrounds. Based on the autho...

2 We present a detailed discussion of AdS 3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that include the effect of higher derivative terms in the spacetime action as well as non-perturbative effects. We include background material on gravity in AdS 3 ,...

After a brief review of the historical role of analyticity in the study of critical phenomena, an account is given of recent discoveries of discretely holomorphic observables in critical two-dimensional lattice models. These are objects whose correlation functions satisfy a discrete version of the Cauchy-Riemann relations. Their existence appears to have a deep relation with the integrability o...

2 We present a detailed discussion of AdS 3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that include the effect of higher derivative terms in the spacetime action as well as non-perturbative effects. We include background material on gravity in AdS 3 ,...

We show that the existent fuzzy S2 and S4 models are natural candidates for the quantum geometry on the corresponding spheres in AdS/CFT correspondence. These models fit nicely the data from the dipole mechanism for the stringy exclusion principle. In the AdS2 × S2 case, we show that a wrapped fractional membrane can be used to count for the large ground state degeneracy. We also propose a fuzz...

3d Chern-Simons gauge theory has a strong connection with 2d CFT and link invariants in knot theory. We impose some constraints on the D(2|1;α) CS theory in the similar context of the hamiltonian reduction of 2d superconformal algebras. There Hilbert states in D(2|1;α) CS theory are partly identified with characters of the large N = 4 SCFT by their transformation properties. e-mail: ishimoto@ph...

In this paper, we study codimension two holography in flat spacetimes, based on the idea of wedge holography. We propose that a region $d+1$ dimensional spacetime surrounded by end world branes, which are given $d$ hyperbolic spaces, is dual to conformal field theory (CFT) $d\ensuremath{-}1$ sphere. Similarly, also bounded de Sitter spaces holographically CFT Our calculations partition function...

Sand-packed columns were used to study the transport of micro- and nanoiron particle suspensions modified with anionic polyelectrolytes. With microscale carbonyl iron powder (CIP), the profiles of initial and eluted particle diameters were compared with simulations based on classical filtration theory (CFT), using both the Tufenkji-Elimelech (TE) and Rajagopalan-Tien (RT) models. With particle ...

Today connections are playing an important role in the steel frames subjected to lateral seismic loading. The steel extended end-plate moment connection can play an important role in the steel frame when subjected to seismic loadings. In the past, this type of connection has been under investigation mainly when it was subjected to monotonic loading. After major recent earthquakes and failure of...

Following the Northridge earthquake of 1994, a significant number of steel moment resisting structural systems were damaged. Several studies have been conducted to improve the seismic performance of steel structures and specially their beam-to-column connections. One of the proposed connections for special moment-resisting frames included AISC-358 is Kaiser bolted bracket moment connection, bri...