We derive the four dimensional N = 1/2 super Yang-Mills theory from tree-level computations in RNS open string theory with insertions of closed string Ramond-Ramond vertices. We also study instanton configurations in this gauge theory and their ADHM moduli space, using systems of D3 and D(–1) branes in a R-R background.

Using the pure spinor formalism we prove identities which relate the tree-level, oneloop and two-loop kinematic factors for massless four-point amplitudes. From these identities it follows that the complete supersymmetric oneand two-loop amplitudes are immediately known once the tree-level kinematic factor is evaluated. In particular, the two-loop equivalence with the RNS formalism (up to an ov...

ÐPrevious scaling schemes have used iterative algorithms, which lead to computation time and memory requirements that increase with the number of moduli. This paper presents a two look-up cycle scaling scheme which allows a diminution of the required memory when nonlarge sets of moduli are considered. This scheme can be combined with previous algorithms for larger sets of moduli. Index TermsÐRe...

In this paper we introduce a new technique for applying fault tolerance to Modulus Replication RNS computations by adding redundancy to the independent computational channels. This technique provides a low-overhead solution to fault tolerant large inner product computations.

Automatic detection and correction of errors in the residue number system involves the conversion of residue representations to integers and base extension. The residue number system is generally restricted to moduli that are pairwise relatively prime. In this paper we consider error detection and correction using a moduli set with common factors. A method to construct a moduli set that leads t...

The residue number system (RNS) is a carry-free number system which can support high-speed and parallel arithmetic. One of the major issues in efficient design of RNS systems is the residue to weighted conversion. In this paper, we present an efficient design of residue to weighted converter for the newly introduced moduli set {3–2, 3–1, 3}, based on mixed-radix conversion (MRC) algorithm. The ...

Residue Number System (RNS) are becoming popular for designing high performance DSP processors because of their ability to offer carry free arithmetic operation. The carry free operations lead to concurrent execution of arithmetic operations on the residues. However in RNS, moduli selection is one of the most important parameter that determines bit efficiency, area, power consumption, speed etc...