There is a conjecture in the literature that indicates the tree-level S-matrix elements of graviton become symmetric under the SL(2,Z) transformation after including the loops and the nonperturbative effects. Using the Ward identity corresponding...

Recently, it has been observed that the kinematic factor of the disk-level S-matrix element of two RR two-forms and the disk-level S-matrix element of two B-fields on the world volume of D$_3$-brane are compatible with the standard rules of S...

, proposed by Gross and Sloan, produces various NS-NS couplings which are invariant under T-duality. Recently, using the combination of S-duality and T-duality transformations on these couplings, we have found groups of couplings which are invariant under...

Recently it has been speculated that the S-matrix elements on the world volume of D3-branes should

satisfy the Ward identity corresponding to the S-duality transformations. For a single brane and in the low

energy limit, this indicates...

It has been speculated that the S-matrix elements of type IIB superstring theory satisfy the Ward identity associated with the S-duality. This indicates that a group of S-matrix elements at each loop level are invariant under the linear $SL(2,R...

Using the duality conjecture between N=6 supersymmetric U(N)_ktimes U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 times S^7/Z_{k}, we calculate the corrections to the shear viscosity of the field theory at temperature T. At strong t Hooft...

We evaluate various disk level four-point functions involving the massless scalar and tachyon vertex operators in the presence of background B-flux in superstring theory. By studying these amplitudes in specific limits, ...

). In this paper, we use the compatibility of the couplings on D_3-brane with the S-duality to find the nonlinear RR couplings at order O(α′2). We confirm the quadratic RR couplings in the DBI part with the disk-level scattering amplitude. Using the modular...

Various applications with different requirments are rapidly developed in the smart grid. The need to provide Quality of Service (QoS) for such a communication network is inevitable. However, recently a protocol called RPL (Routing Protocol for Low...