Free BMN Correlators With More Stringy Modes

Abstract

In the type IIB maximally supersymmetric pp-wave background, stringy excited modes are described by BMN (Berenstein-Madalcena-Nastase) operators in the dual $\mathcal{N}=4$ super-Yang-Mills theory. In this paper, we continue the studies of higher genus free BMN correlators with more stringy modes, mostly focusing on the case of genus one and four stringy modes in different transverse directions. Surprisingly, we find that the non negativity of torus two-point functions, which is a consequence of a previously proposed probability interpretation and has been verified in the cases with two and three stringy modes, is no longer true for the case of four or more stringy modes. Nevertheless, the factorization formula, which is also a proposed holographic dictionary relating the torus two-point function to a string diagram calculation, is still valid. We also check the correspondence of planar three-point functions with Green-Schwarz string vertex with many string modes. We discuss some issues in the case of multiple stringy modes in the same transverse direction. Our calculations provide some new perspectives on pp-wave holography.

arXiv comment39 pages, 3 figures. v2: journal version, references added

References in corpus (23)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• A new maximally supersymmetric background of IIB superstring theory
• Giant Gravitons in Conformal Field Theory
• Large branes in AdS and their field theory dual
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• PP-wave string interactions from perturbative Yang-Mills theory
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Superstring Interactions in a pp-wave Background
• From Free Fields to $AdS$
• Open Strings from N=4 Super Yang-Mills
• Giant Graviton Oscillators
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• PP-Wave Light-Cone Superstring Field Theory
• Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave
• From counting to construction of BPS states in N=4 SYM
• String Interactions in PP-wave from N = 4 Super Yang Mills
• Predictions for PP-wave string amplitudes from perturbative SYM
• Note on S-channel factorization in multitrace Berenstein-Maldacena-Nastase correlators
• Entropy of Berenstein-Maldacena-Nastase Strings

Cited by in corpus (1)

• Non-Negativity of BMN Two-Point Functions With Three String Modes