Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal

By Tristan McLoughlin, R. Roiban, A. Tseytlin. 2008

165 citations recorded by the source corpus.

Recently, an asymptotic Bethe Ansatz that is claimed to describe anomalous dimensions of"long"operators in the planar N=6 supersymmetric three-dimensional Chern-Simons-matter theory dual to quantum superstrings in AdS_4 x CP^3 was proposed. It initially passed a few consistency checks but subsequent direct comparison to one-loop string-theory computations created some controversy. Here we suggest a resolution by pointing out that, contrary to the initial assumption based on the algebraic curve considerations, the central interpolating function h(\lambda) entering the BMN or magnon dispersion relation receives a non-zero one-loop correction in the natural string-theory computational scheme. We consider a basic example which has already played a key role in the AdS_5 x S^5 case: a rigid circular string stretched in both AdS_4 and along an S^1 of CP^3 and carrying two spins. Computing the leading one-loop quantum correction to its energy allows us to fix the constant one-loop term in h(\lambda) and also to suggest how one may establish a correspondence with the Bethe Ansatz proposal, including the non-trivial one-loop phase factor. We discuss some problems which remain in trying to match a part of world-sheet contributions (sensitive to compactness of the string direction) and their Bethe Ansatz counterparts.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ba3fd3c1528c94f157a51db2a846f36d5aa71110

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

  1. Tristan McLoughlin
  2. R. Roiban
  3. S. Frolov
  4. G. Arutyunov
  5. N. Beisert
  6. A. Tseytlin
  7. M. Staudacher
  8. L. Alday

Citations in the corpus