On the spectrum of the AdS5 × S⁵ string at large ¿

TY - JOUR

T1 - On the spectrum of the AdS5 × S5 string at large ¿

AU - Passerini, F.

AU - Plefka, J.

AU - Semenoff, G.W.

AU - Young, Donovan Michael

PY - 2011/3/1

Y1 - 2011/3/1

N2 - We put forth a program for perturbatively quantizing the bosonic sector of the IIB superstring on AdS5 × S55 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 AdS5 × S 5 as a guiding exercise, we read off the correct scaling of the particle coordinates in the large radius limit. In the corresponding large √λ = R2/α? 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-λ 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 λ-1/4.

AB - We put forth a program for perturbatively quantizing the bosonic sector of the IIB superstring on AdS5 × S55 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 AdS5 × S 5 as a guiding exercise, we read off the correct scaling of the particle coordinates in the large radius limit. In the corresponding large √λ = R2/α? 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-λ 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 λ-1/4.

U2 - 10.1007/jhep03(2011)046

DO - 10.1007/jhep03(2011)046

M3 - Journal article

SN - 1126-6708

VL - 2011

SP - 046

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 3

ER -