Anomalous dimensions of heavy operators from magnon energies

作者：Koch Robert de Mello^*; Tahiridimbisoa Nirina Hasina^*; Mathwin Christopher^*

来源：The Journal of High Energy Physics, 2016, 2016(3): 156.

DOI：10.1007/JHEP03(2016)156

• 1/N Expansion
• AdS-CFT Correspondence
• Gauge-gravity correspondence

We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. Motivated by a geometrical interpretation of the central charges of su(2 vertical bar 2), we propose a simple and minimal all loop expression that interpolates between the anomalous dimensions computed in the gauge theory and energies computed in the dual string theory. The discussion makes use of a description in terms of magnons, generalizing results for a single maximal giant graviton. The symmetries of the problem determine the structure of the magnon boundary reflection/scattering matrix up to a phase. We compute a reflection/scattering matrix element at weak coupling and verify that it is consistent with the answer determined by symmetry. We find the reflection/scattering matrix does not satisfy the boundary Yang-Baxter equation so that the boundary condition on the open spin chain spoils integrability. We also explain the interpretation of the double coset ansatz in the magnon language.

• 出版日期2016-3-22