2015
DOI: 10.1142/s0217751x15501833
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AdS/CFT correspondence beyond its supergravity approximation

Abstract: We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual to a boundary CFT). We will go beyond the supergravity approximation in the AdS by using the fact that strings have an extended structure. We will also calculate the CFT dual to such string corrections in the bulk, and demonstrate that they are consistent with the strong for… Show more

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Cited by 19 publications
(13 citation statements)
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“…Doubly special relativity is a natural extension of special relativity, which enjoys the invariancy of the speed of light, to the case of assuming the invariancy of the maximum energy scale (the Planck energy) or equivalently minimum length scale [19]. Besides, the generalized uncertainty principle (GUP) which comes from various approaches to quantum gravity, is based on the existence of minimum measurable length scale [20][21][22][23][24][25][26]. Such minimum length scale has been applied to black hole thermodynamics [27][28][29][30][31].…”
Section: Introductionmentioning
confidence: 99%
“…Doubly special relativity is a natural extension of special relativity, which enjoys the invariancy of the speed of light, to the case of assuming the invariancy of the maximum energy scale (the Planck energy) or equivalently minimum length scale [19]. Besides, the generalized uncertainty principle (GUP) which comes from various approaches to quantum gravity, is based on the existence of minimum measurable length scale [20][21][22][23][24][25][26]. Such minimum length scale has been applied to black hole thermodynamics [27][28][29][30][31].…”
Section: Introductionmentioning
confidence: 99%
“…The effect of the generalized uncertainty principle on AdS/CFT has already been analyzed [51]. The AdS/CFT correspondence relates the supergravity solutions on AdS to a superconformal field theory on its boundary [52][53][54][55][56].…”
Section: Resultsmentioning
confidence: 99%
“…However, the existence of a minimum length scale in spacetime leads to the generalized uncertainty principle [40]- [48]. In fact, it has been demonstrated that the generalized uncertainty principle can be used to analyse the corrections to the AdS/CF T correspondence beyond the supergravity approximation [49]. It may be noted that the corrections to Friedmann equations coming from the generalized uncer-tainty principle has been obtained [50]- [51].…”
Section: Resultsmentioning
confidence: 99%