On the Spectrum of the x String at large
Dec, 2010
24 pages
Published in:
- JHEP 03 (2011) 046
e-Print:
- 1012.4471 [hep-th]
Report number:
- HU-EP-10-85
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Abstract: (arXiv)
We put forth a program for perturbatively quantizing the bosonic sector of the IIB superstring on AdS_5xS^5 in the large radius of curvature R (i.e. flat-space) limit, and in light-cone gauge. Using the quantization of the massive particle on AdS_5xS^5 as a guiding exercise, we read off the correct scaling of the particle coordinates in the large radius limit. In the corresponding large \sqrt{\lambda}=R^2/\alpha' limit of the string the oscillator modes must be scaled differently from the zero modes. We compute the bosonic string Hamiltonian in this limit which gives the flat-space mass-squared operator at leading order, followed by a harmonic oscillator potential in the zero modes at subleading order. Using these ingredients we calculate the leading and sub-leading terms in the conformal dimension of the length-four Konishi state in the large-\lambda limit. Furthermore we work out the relevant terms of the energy expansion to next-to-next-to leading order, which are plagued by severe ordering ambiguities. This prevents us from determining the corrections to the spectrum at order {\lambda}^{-1/4}.- AdS-CFT Correspondence
- Field Theories in Lower Dimensions
- space-time: AdS(5) x S(5)
- string model: boson
- string model: Type IIB
- quantization
- light cone gauge
- superstring
- zero mode
- string: spectrum
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