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Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
Static gauge and energy spectrum of single-mode strings in $\mathrm{AdS_5\times S^5}$
S. Frolovabc, M. Heinzed, G. Jorjadzedef, J. Plefkad a Hamilton Mathematics Institute and School of Mathematics, Trinity College, Dublin 2, Ireland
b Steklov Mathematical Institute, Moscow
c Institut für Mathematik und Institut für Physik, Humboldt-Universität zu Berlin, IRIS Adlershof, Zum Großen Windkanal 6, D-12489 Berlin, Germany
d Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, D-12489 Berlin, Germany
e Razmadze Mathematical Institute of JSU , Tbilisi, Georgia
f FU of Tbilisi, University Campus, David Aghmashenebeli Alley, Tbilisi, Georgia
Аннотация:
Motivated by the notorious difficulties in determining the first quantum corrections to the spectrum of short strings in $\mathrm{AdS_5\times S^5}$ from first principles, we study closed bosonic strings in this background employing a static gauge. In this gauge the world-sheet 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 $\mathrm{AdS_5}$ string-mode excitation next to an arbitrary particle like zero-mode contribution in the full $\mathrm{AdS_5\times S^5}$ background. We determine the quantum spectrum using this method to the next-to-next-to-leading 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 string-mode truncation employed. Despite this simple setup, our system reveals intriguing features, such as a close connection to particles in $\mathrm{AdS_6}$, classical integrability and preservation of the isometries of $\mathrm{AdS_5\times S^5}$ at the quantum level.
Поступила в редакцию: 15.11.2013 Принята в печать: 23.12.2013
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https://www.mathnet.ru/rus/jpha13
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