

Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
June 9, 2014 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)






Static gauge and energy spectrum of singlemode strings in $AdS5\timesS5$
S. A. Frolov^{} 
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Abstract:
Motivated by the notorious difficulties in determining the first quantum corrections to the spectrum of short strings in $AdS5\timesS5$ from first principles, we study closed bosonic strings in this background employing a static gauge. In this gauge the worldsheet Hamiltonian density is constant along the extension of the string and directly proportional to the square of the spacetime energy. We quantize this system in a minisuperspace approach, in which we consider only a single $AdS5$ stringmode excitation next to an arbitrary particle like zeromode contribution in the full $AdS5\timesS5$ background. We determine the quantum spectrum using this method to the nexttonexttoleading order in the large 't Hooft coupling expansion. We argue for an ordering prescription which should arise from supersymmetrization and indeed recover the integrability based predictions for the spectrum of the lightest excitation, dual to the Konishi field scaling dimensions. The higher excitations fail to agree, but this is shown to be a consequence of the stringmode truncation employed.

