In a recent paper, Ohta & Townsend studied the conditions which must be satisfied for a configuration of two intersecting M5-branes at angles to be supersymmetric. In this paper we extend this result to any number of M5-branes or any number of M2-branes. This is accomplished by interpreting their results in terms of calibrated geometry, which is of… (More)
This is the first of a series of papers devoted to the group-theoretical analysis of the conditions which must be satisfied for a configuration of intersecting M5-branes to be supersymmetric. In this paper we treat the case of static branes. We start by associating (a maximal torus of) a different subgroup of Spin 10 with each of the equivalence classes of… (More)
Seven point and eight pointquadrature rules have been generated for the numerical evaluation of two dimensional integral of an analytic function of two complex variables.The truncation error associated with the rules have been analysed and it has been established that both the rules have degrees of precision five.Some examples have been considered for the… (More)
A numerical technique based on the Cauchy integral formula of complex analysis has been employed for evaluating the integrals and derivatives of fractional orders of an analytic function. The method of subtraction of singularity has been used to evaluate the contour integrals for a desired degree of accuracy.
A technique based on the Cauchy integral formula of the theory of analytic functions of a complex variable has been formulated for the numerical evaluation of both real and complex Cauchy value integrals along directed line segments. The numerical verification of the method has been performed by considering some model examples.