Flowing from 16 to 32 supercharges

Large N limit of SYM theories with 16 supercharges from superstrings on D p - brane backgrounds

We investigate the holographic correspondence between (p + 1)-dimensional (0 ≤ p ≤ 4) SYM theories with 16 supercharges and superstring theories on the near-horizon limit of Dp-brane backgrounds. Following an approach based on the tunneling picture, we study Euclidean superstring semi-classically along null geodesics which connect two points on the boundary of the spacetime. We extend the analy...

N = 4 SYM on R × S 3 and Theories with 16 Supercharges

We study N = 4 SYM on R × S3 and theories with 16 supercharges arising as its consistent truncations. These theories include the plane wave matrix model, N = 4 SYM on R× S2 and N = 4 SYM on R× S/Zk, and their gravity duals were studied by Lin and Maldacena. We make a harmonic expansion of the original N = 4 SYM on R×S3 and obtain each of the truncated theories by keeping a part of the Kaluza-Kl...

Flowing to four dimensions

We analyze the properties of a model with four-dimensional brane-localized Higgs type potential of a six dimensional scalar field satisfying the Dirichlet boundary condition on the boundary of a transverse two-dimensional compact space. The regularization of the localized couplings generates classical renormalization group running. A tachyonic mass parameter grows in the infrared, in analogy wi...

Compact, Loadable 16- and 32-bit Binary Counters

Figure 1 is a block diagram representation of the I/O and architecture for a 16 or 32-bit counter. Pin CLK is the clock signal, RST the reset signal, and LOAD the load data signal. CLK is a positive, edge-triggered synchronous signal, and LOAD is an active low, synchronous signal. Pins D0 through D15, 31 are the load data inputs, and pins Q0 through Q15, 31 are the count bits. Pin Ci is the car...

On the [32, 16, 8] BCH and quadratic residue codes