Finite size effects for giant magnons on physical strings

Using finite gap methods, we find the leading order finite size corrections for an arbitrary number of giant magnons on physical strings, where the sum of the momenta is a multiple of 2 π. Our results are valid for the Hofman–Maldacena fundamental giant magnons as well as their dyonic generalization...

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Bibliographic Details
Published in:Nuclear physics. B 2008-09, Vol.801 (1), p.97-117
Main Authors: Minahan, J.A., Ohlsson Sax, O.
Format: Article
Language:English
Subjects:
Fysik
NATURAL SCIENCES
NATURVETENSKAP
Physics
Teoretisk fysik
Theoretical Physics
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Summary:Using finite gap methods, we find the leading order finite size corrections for an arbitrary number of giant magnons on physical strings, where the sum of the momenta is a multiple of 2 π. Our results are valid for the Hofman–Maldacena fundamental giant magnons as well as their dyonic generalizations. The energy corrections turn out to be surprisingly simple, especially if all the magnons are fundamental, and at leading order are independent of the magnon flavors. We also show how to use the Bethe ansatz to find finite size corrections for dyonic giant magnons with large R-charges.
ISSN:0550-3213
1873-1562
1873-1562
DOI:10.1016/j.nuclphysb.2008.04.018