Abstract

We use Dirac-Born-Infeld action to study the spinning D-string in AdS_3 background in the presence of both NS-NS and RR fluxes. We compute the scaling relation between the energy (E) and spin (S) in the ‘long string limit’. The energy of these spiky string is found to be a function of spin with the leading logarithmic behaviour and the scaling relation appears to be independent of the amount of flux present. We further discuss folded D-string solutions in AdS_3 background with pure NS-NS and R-R fluxes.

Highlights

  • The AdS/CFT correspondence [1,2,3], which is one of the exciting discoveries of the last two decades of modern theoretical physics, relates string theory or gravity theory on asymptotically Anti-de Sitter (AdS) space in d dimensional bulk spacetime to a conformal field theory (CFT) living on its (d −1) dimensional boundary

  • By using the DBI action, we have studied a spinning D1-string in Ad S3 background with both NS-NS and R-R fluxes

  • We have studied the D1-string in Ad S3 background with mixed three fluxes and investigated the effect of both NS-NS and RR fluxes in our solution

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Summary

Introduction

The AdS/CFT correspondence [1,2,3], which is one of the exciting discoveries of the last two decades of modern theoretical physics, relates string theory or gravity theory on asymptotically Anti-de Sitter (AdS) space in d dimensional bulk spacetime to a conformal field theory (CFT) living on its (d −1) dimensional boundary. Apart from the usual Ad S5/C F T4 duality, the other celebrated example of the gauge gravity correspondence in its lower dimensional form is the Ad S3/C F T2 duality In this case, the duality relates type IIB string theory on Ad S3 × S3 × T 4 to the N = (4, 4) superconformal field theory in D=3. In [57], we had considered N -spike string solution in mixed flux with Jevicki-Jin [58,59] type embedding and calculated the conserved charges to find the energy spin scaling relation in the large charge limit.

Spiky D1-strings in AdS space
Spiky D1-string in AdS space with mixed flux
Conclusions and outlook
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