N spike D-strings in AdS Space with mixed flux
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Regular Article - Theoretical Physics
N spike D-strings in AdS Space with mixed flux Sagar Biswas1,a , Priyadarshini Pandit2,b , Kamal L. Panigrahi2,c 1 2
Department of Physics, Ramakrishna Mission Vidyamandira, Belur Math, Howrah 711 202, India Department of Physics, Indian Institute of Technology Kharagpur, Kharagpur 721 302, India
Received: 14 May 2020 / Accepted: 25 July 2020 © The Author(s) 2020
Abstract We use Dirac-Born-Infeld action to study the spinning D-string in Ad S3 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 Ad S3 background with pure NS-NS and R-R fluxes.
1 Introduction The AdS/CFT correspondence [1–3], 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. The most promising version of this duality states that N = 4 Super Yang-Mills (SYM) theory with SU (N ) gauge group is equivalent to type IIB string theory on Ad S5 × S 5 . Verifying the conjectured duality for all generic values of parameters would require the knowledge of full spectrum of states in gravity side as well as all observables in the boundary field theory side, which is quite challenging. So one restricts to the domain of the correspondence to a particular limit, i.e. the planar limit where one can solve the strongly coupled dual field theory from the computable weak coupling perturbative behaviour of string theory. In the past few years, multiple attempts have been made to establish the duality in different sub-sectors of the theories on both sides of the duality. The semiclassical approximation is one of the most suitable methods which is used to find the string spectrum in a variety of target space geometries. a e-mail:
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The dispersion relation among various conserved charges of such strings (rotating, pulsating etc.) have been calculated in the ‘large charge limit’ and were equated to the anomalous dimensions of the dual boundary operators [4–6]. In an attempt to understand the dual field theory operators, a large class of rigidly rotating and pulsating strings have been studied in various asymptotically AdS and non-AdS backgrounds [7–15]. 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 × S 3 × T 4 to the N = (4, 4) superco
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