Rotating and orbiting strings in the near-horizon brane backgrounds

Abstract

Using the Schwarzschild-type coordinates in stead of the global ones we reconstruct the classical rotating closed string solutions in the AdS 5 × S 5 backgrounds. They are explicitly described by the Jacobi elliptic and trigonometrical functions of worldsheet coordinates. We study the orbiting closed string configurations in the near-horizon geometries of Dp, NS1 and NS5 branes, and derive the energy and spin of them, whose relation takes a simple form for short strings. Specially in the D5 and NS5 backgrounds we have a linear relation that the energy of the point-like string is proportional to the spin, which is associated with the spectrum of strings in the pp-wave geometries obtained by taking a special Penrose limit on the D5 and NS5 backgrounds.

Novel explicit multi spin string solitons in AdS5

“…The paper [6] initiated a whole industri of finding new string solitons, and in some cases also the corresponding Yang-Mills operators. See for instance [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26] for various string configurations.…”

Spinning pulsating string solitons inAdS5×S5

“…Recent progress in understanding the conjectured duality [1,2,3] between super string theory on AdS 5 × S 5 and N = 4 SU(N) super Yang-Mills theory in Minkowski space is based on scaling relations between energy and angular momentum for straight spinning strings [4,5,6,7,8,9,10,11,12,13,14,15,16]. Circular pulsating strings have also been analysed in some detail [4,10].…”

Folded Three-Spin String Solutions inAdS5 S5

“…This proposal has been interpreted as a special case of a semiclassical expansion of AdS 5 × S 5 string theory selecting a particular sector of states where the string shrinks to a point and moves with a large angular momentum along a large circle of S 5 [7] and further developed [8,9,10,11,12,13,14,15,16]. A considerable amount of work has followed for various semiclassical string or membrane solutions [17,18,19,20,21,22,23,24,25,26,27,28,29].…”