Chaos in classical string dynamics inγˆdeformed AdS 5 × T 1,1

Melnikov’s method in String Theory

“…If it has been done, then one could open up a new frontier in the study of the gauge/gravity correspondence.Chaotic string solutions were found in [9] by computing Poincaré sections. The chaotic behavior remains even in a near-Penrose limit [10].Similar studies have been done for many backgrounds in the preceding works [11][12][13][14][15].Similarly, chaotic motions of D0-branes can also be studied as well as classical strings.The D0-brane dynamics is described by a matrix model proposed by Banks, Fischler, Shenker and Susskind (BFSS) [16]. Chaotic D0-branes in the BFSS matrix model were studied in [17] by following a seminal paper on chaos in a classical Yang-Mills theory [18].…”

Chaos of Wilson loop from string motion near black hole horizon

“…Although chaos in string motion has been studied [11][12][13][14][15][16][17][18][19][20][21] in curved geometries, in view of the chaos bound (1), two important issues are left unsolved: First, the motion of the string needs to be near the black hole horizon, and second, the CFT interpretation of the string motion is indispensable. In this paper we address these two issues, by adopting a suspended string in the AdS black hole geometry.…”

Constraining integrable AdS/CFT with factorized scattering

“…This leads to a so-called normal variational equation for which there is a standard procedure to demonstrate (non)integrability. This approach was pioneered in [4] and has since been applied to several examples [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. This is often referred to as the analytic integrability approach.…”