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Stringy effects for spinning strings and the Bethe ansatz

✍ Scribed by S. Schäfer-Nameki; M. Zamaklar

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
128 KB
Volume
54
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

The one‐loop worldsheet corrections to spinning strings in the sl(2) subsector of AdS~5~ × S^5^ are compared to the quantum string Bethe ansatz. The evaluation of the energy shift is performed in two regimes: a) in the large 𝒥 limit, using zeta‐function regularization and b) in the limit of large winding number. The first computation agrees with the Bethe ansatz in the first three orders while the second computation leads to a disagreement with the string Bethe ansatz prediction at leading order. Careful analysis of the zeta‐function regularization shows, that in this approach perturbative as well as non‐perturbative terms in the string sums are missed. Hence, this together with the result b), implies that the proposed quantum string Bethe equations do not reproduce all terms in the exact string result.

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Yangian symmetry, S-matrices and Bethe a
Yangian symmetry, S-matrices and Bethe ansatz for the AdS5 × S5 superstring
✍ M. de Leeuw 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB

## Abstract We discuss the relation between the recently derived bound state S‐matrices for the AdS~5~× S^5^ superstring and Yangian symmetry. We will study the relation between this Yangian symmetry and the Bethe ansatz. In particular we can use it to derive the Bethe equations for bound states.