On the fermionic frequencies of circular strings

We revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS5 X S5 and , starting from the Green--Schwarz action. It has been known that the results for these frequencies obtained from the algebraic curve and from the worldsheet computations...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 43; no. 33; p. 335401
Main Author Mikhaylov, V
Format Journal Article
LanguageEnglish
Published IOP Publishing 20.08.2010
Subjects
Algebra
Bundling
Computation
Fluctuation
Mathematical analysis
Mathematical models
Matrices
Strings
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Summary:We revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS5 X S5 and , starting from the Green--Schwarz action. It has been known that the results for these frequencies obtained from the algebraic curve and from the worldsheet computations sometimes do not agree. In particular, different methods give different results for the half-integer shifts in the mode numbers of the frequencies. We find that these discrepancies can be removed if one carefully takes into account the transition matrices in the spin bundle over the target space.
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ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/43/33/335401