English

On the Fermionic Frequencies of Circular Strings

High Energy Physics - Theory 2014-11-20 v1

Abstract

We revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS_5xS^5 and AdS_4xCP^3, 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.

Keywords

Cite

@article{arxiv.1002.1831,
  title  = {On the Fermionic Frequencies of Circular Strings},
  author = {Victor Mikhaylov},
  journal= {arXiv preprint arXiv:1002.1831},
  year   = {2014}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-21T14:45:00.214Z