Spiky Strings and Gauge Theory Partons

The string sigma model in AdS 3 ×S 3 supported by mixed three-form fluxes has recently been proved to be integrable which led to a plethora of work in this background including proposals for S matrix and study of semiclassical string profiles. Motivated by this, in this paper, we present a study of 'spiky' strings in this background. We analyze the string profiles in detail and also find the dispersion relation between the charges in the 'long' string limit after solving the equations of motion perturbatively upto the leading order in the Neveu-Schwarz flux b. We find that the dispersion for 2 spikes gets corrected by the term − b 2 2 log S. We also discuss the fate of the solution in the limit of pure NS-NS flux.

Section: Introductionmentioning

confidence: 73%

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

Banerjee

Sadhukhan

2016

“…Building on these considerations and on Witten's [5] and Klebanov's [6] results concerning stacks of coincident D-branes, Maldacena [7] conjectured the now wellknown AdS/CFT correspondence 1 . The statement, in its strongest form, is that N = 4 super Yang-Mills theory on R × S 3 with gauge group SU(N) is equivalent to type IIB superstring theory on AdS 5 ×S 5 , provided we identify the parameters of the two models as follows:…”

Section: Acknowledgmentsmentioning

confidence: 87%

“…In [1], the above proposal was tested on two explicit spiky string solutions which had already appeared in the literature: the GKP folded rotating string [46] (see Fig. 1.2) and the symmetric spiky string found by Kruczenski [102] (see Fig.…”

Section: Topics Covered In This Thesismentioning

confidence: 99%

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Spiky strings and giant holes

Dorey

Losi

2010

Self Cite

We analyse semiclassical strings in AdS in the limit of one large spin. In this limit, classical string dynamics is described by a finite number of collective coordinates corresponding to spikes or cusps of the string. The semiclassical spectrum consists of two branches of excitations corresponding to "large" and "small" spikes respectively. We propose that these states are dual to the excitations known as large and small holes in the spin chain description of N = 4 SUSY Yang-Mills. The dynamics of large spikes in classical string theory can be mapped to that of a classical spin chain of fixed length. In turn, small spikes correspond to classical solitons propagating on the background formed by the large spikes. We derive the dispersion relation for these excitations directly in the finite gap formalism.

“…[6][7][8][9][10][11][12] and further, the spin chain connection have been studied in detail, e.g. [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

On finite-size spiky strings in AdS3 × S3 × T4 with mixed fluxes

Barik

Nayak

Panigrahi

2020

We discuss finite-size corrections to the spiky strings in AdS space which is dual to the long N = 4 SYM operators of the form Tr(∆ J 1 + φ 1 ∆ J 2 + φ 2. .. ∆ Jn + φ n). We express the finite-size dispersion relation in terms of Lambert W-function. We further establish the finite-size scaling relation between energy and angular momentum of the spiky string in presence of mixed fluxes in terms of W-function. We comment on the solution in pure NS-NS background as well.