Giant holes

Abstract

We study the semiclassical spectrum of excitations around a long spinning string in AdS 3 .In addition to the usual small fluctuations, we find the spectrum contains a branch of solitonic excitations of finite energy. We determine the dispersion relation for these excitations. This has a relativistic form at low energies but also matches the dispersion relation for the "holes" of the dual gauge theory spin chain at high energies. The low-energy behaviour is consistent with the hypothesis that the solitonic excitations studied here are continuously related to the elementary excitations of the string.

Multi-spike strings in AdS3 with mixed three-form fluxes

“…The same dispersion relation obtained from an integrable SL(2) spin chain was reported in [18]. The spin chain description of such spiky strings were explored in detail in the series of works [19][20][21][22]. The other much discussed form of gauge-gravity duality comes in the form of strings in AdS 3 × S 3 × M 4 and the two dimensional CFTs.…”

Adjoint BFKL at finite coupling: a short-cut from the collinear limit

“…First, we note that the eigenvalue (5.3) is reminiscent of the dispersion relation of the so-called giant hole, which represents a classical macroscopic spike on top of the GKP string: see equation (1) in ref. [56] with v there = tanh θ here . In fact, the two are related as 9 −ω(θ)…”

“…Since the giant hole classical string solution is known explicitly [56], the analytic continuation in θ provides us with a simple way of constructing the sister classical solution (or equivalently, the BFKL solution at complex momentum). We simply take θ imaginary and analytically continue the solution from Lorentzian to Euclidean worldsheet.…”

Wilson loop OPE, analytic continuation and multi-Regge limit

“…Quite interestingly, these are equivalent to the excitations over the so-called Gubser-Klebanov-Polyakov (GKP) string [59]. Such excitations were analyzed in detail in [60] (see also [61][62][63][64]).…”