Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in N=4 Super Yang-Mills
2012 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 99, no 1-3, 33-58 p.Article, review/survey (Refereed) Published
In this chapter of Review of AdS/CFT Integrability we introduce N = 4 Super Yang-Mills. We discuss the global superalagebra PSU(2, 2|4) and its action on gauge invariant operators. We then discuss the computation of the correlators of certain gauge invariant operators, the so-called single trace operators in the large N limit. We show that interactions in the gauge theory lead to mixing of the operators. We compute this mixing at the one-loop level and show that the problem maps to a one-dimensional spin chain with nearest neighbor interactions. For operators in the SU(2) sector we show that the spin chain is the ferromagnetic Heisenberg spin chain whose eigenvalues are determined by the Bethe equations.
Place, publisher, year, edition, pages
2012. Vol. 99, no 1-3, 33-58 p.
N=4 SYM, spin-chains, Bethe equations
IdentifiersURN: urn:nbn:se:uu:diva-177959DOI: 10.1007/s11005-011-0522-9ISI: 000305131800003OAI: oai:DiVA.org:uu-177959DiVA: diva2:541881