2011/03/31 by I. Y. Park, I. Y. PARK
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1142/s0217751x12500704
published as Int.J.Mod.Phys. A27 (2012) 1250070 · 27 pages, 4 figures, refs and clarifications added, to appear in IJMPA
arxiv created 2012/04/12 · openalex publication_date 2012/05/10 · arxiv updated 2012/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In the full type IIB open superstring setup, we show that there exists a vertex operator, denoted by V L , whose renormalization reproduces the same anomalous dimension matrix that was obtained by Minahan and Zarembo (MZ) [J. High Energy Phys. 0303, 013 (2003)]. The vertex operator is a gauge singlet, and has the same SO(6) index structure as the operator used by MZ. To obtain the SYM anomalous dimensions, one of the key ingredients is the non-abelianization of the nonlinear sigma model action in a D-brane background. Park [Phys. Lett. B 660, 583 (2008)] conjectured that quantum effects of open strings on a stack of D-branes should generate the curvature. Even though the conjecture had passed a few consistency checks, the role of the higher order curvature terms has remain mostly unobserved until now. By choosing a special form of the non-abelianized counter vertex, V G , we show that the SYM result is reproduced. We comment on fermionic completion of V L and on how the special form of the non-Abelian vertex V G may arise.