Giant Gravitons in AdS 3 × S 3 × T 4 Spacetime under Melvin Field Deformation

The giant graviton in the AdS3×S×T 4 spacetime only exists when its angular momentum is a specific value and, moreover, it could have arbitrary size. In this paper we first apply the transformation of mixing azimuthal and internal coordinate or mixing time and internal coordinate to the 11D M-theory with a stack of M2-branes ⊥ M2-branes, then, through the mechanism of Kaluza-Klein reduction and a series of the T duality we obtain the corresponding background of a stack of D1-branes ⊥ D5-branes which, in the near-horizon limit, becomes the magnetic or electric Melvin field deformed AdS3 × S × T . We investigate the giant gravitons therein and show that some configurations whose angular momenta are within a finite region could have the fixed size and become more stable than the point-like graviton. We discuss the properties of how the electric/magnetic Melvin field will affect the size of the giant gravitons with the help of numerical analyses. We also see that the giant graviton in the near-horizon spacetime of Melvin field deformed D5-branes background has the similar properties as those in the deformed AdS3 × S × T . E-mail: [email protected]