LOGARITHMIC CORRECTION TO SCALING FOR MULTISPIN STRINGS IN THE AdS₅ BLACK HOLE BACKGROUND

Abstract

We find new explicit solutions describing closed strings spinning with equal angular momentum in two independent planes in the AdS 5 black hole spacetime. These are 2n folded strings in the radial direction and also winding m times around an angular direction. We especially consider these solutions in the long string and high temperature limit, where it is shown that there is a logarithmic correction to the scaling between energy and spin. This is similar to the one-spin case. The strings are spinning, or actually orbiting around the black hole of the AdS 5 black hole spacetime, similarly to solutions previously found in black hole spacetimes.

Considering the two Spin and the two Angular Momenta String Solutions in $AdS_5 \times S^5$

“…Compare also equations ( 51)-( 52) and equations ( 121)-(122). We want, first of all, to generalize these results to the five dimensional AdS black hole [15] ×S 5 . The five dimensional AdS black hole has some of the same properties as AdS 5 [2].…”

“…We now consider actual string configurations in AdS 5 , S 5 and in AdS 5 × S 5 . Then the pioneering papers were [5,6,7,8,9,10,11,12], [2,3,13,14,15] and [1,16,17,18,19,20,21,22] and references therein. Notice that all the papers from the Paris group [1,16,17,18,19,20,21,22], were published long before the AdS/CFT correspondence [23,24,25], see also [26,27,28,29].…”