A Map Between d = 3 and d = 4 Spacetime Dimensional k-strings Using Holography

We investigate k-string in d=3 and d=4 spacetime dimensions using holography. Exploiting the similarities between two supergravity backgrounds,Maldacena-Nunez background and Maldacena-Nastase background, we map calculations for k-strings between d = 3 and d = 4 spacetime dimensions. The specific calculations investigated are the usual lowest order tension term for the energy of k-strings and the first order, one loop corrections, the Luscher term. The tension term is proportional to L, the length between quark antiquark pairs and the Luscher term is the typical 1/L Coulombic correction.